Lesson 21. Chapter 2: Perimeter, Area & Volume. Lengths and Areas of Rectangles, Triangles and Composite Shapes


 Alexander Stephens
 2 years ago
 Views:
Transcription
1 ourse: HV Lesson hapter : Perimeter, rea & Volume Lengths and reas of Rectangles, Triangles and omposite Shapes The perimeter of a shape is the total length of its boundary. You can find the perimeter of a shape by adding the lengths of its sides. Length l Width w w Perimeter of rectangle = l + l + w + w = (l + w) l The area of a shape is a measure of the amount of space it covers. Typical units of area are square centimetres (cm ), square metres (m ) and square kilometres (km ). l w rea of rectangle = l w You can find the area of a rectangle using the following formula: rea of rectangle = length width = l w Perimeter, rea & Volume Page
2 ourse: HV rea of a parallelogram You can use the rectangle formula to find the area of a parallelogram: ny side of a parallelogram can be called its base. The perpendicular distance between the base and its opposite side is called the perpendicular height (or height) of the parallelogram. cm E 3cm 5cm The base of parallelogram is 5cm long and the perpendicular height is. E is cm. 5cm E 3cm cm You can cut off the triangle E from one end of the parallelogram and place it at the other end. is equal and parallel to so they fit exactly together. E 5cm The new shape is the rectangle. The area of the original parallelogram is the same as the area of this rectangle, 5, which is the base multiplied by the height. rea of parallelogram = base height = b h Perimeter, rea & Volume Page
3 ourse: HV rea of a triangle There are two ways of finding how to calculate the area of a triangle. First, if we think of a triangle as half a parallelogram we get rea of triangle = area of parallelogram = (base height) Second, if we enclose the triangle in a rectangle we see again that the area of the triangle is half the area of the rectangle. rea of triangle = area of rectangle = (base height) In either case, the equation to find the area of the triangle is the same. rea of triangle = (base height) Perimeter, rea & Volume Page 3
4 ourse: HV rea of a Trapezium It is useful to know how to find the area of a trapezium with a simple formula instead of finding the areas of the two triangles and then add. So, let s construct an equation to find the area of the trapezium. onsider this shape q h p This is a Trapezium. Note that is parallel to but their lengths are not equal. = q and = p We know how to work out the area of triangle and triangle. rea of triangle = (base height) = rea of triangle = (base height) = p h q h The heights of both triangles are the same, as each is the distance between the parallel sides of the trapezium. Therefore total area of = ph qh ( p q) h the area of a trapezium is equal to (sum of parallel sides) (distance between them) Perimeter, rea & Volume Page 4
5 ourse: HV Example E is a square of side 8 cm. The total height of the shape is cm. Find the area of E. cm E 8 cm nswer 8 cm In order to find the area of a compound shape, first we have to split it in shapes that we know how to find the area of. This compound shape can be divided into a square E and a triangle E. So rea of triangle E = (base height) 8 4 cm = 6 cm rea of Square E = 8 8 cm = 64 cm So Total rea = rea of triangle E + rea of Square E = 6 cm + 64 cm = 80 cm Perimeter, rea & Volume Page 5
6 ourse: HV Example Work out the area of this shape. nswer First method ivide the shape into parts whose areas you can find. This can be done in several ways. One way is: rea of rectangle = l w = 7 4 = 8cm a b h cm rea of trapezium = So the shaded area is = 46cm 7cm 7cm 8cm 8cm cm cm Second Method dd on a small triangle to make a larger rectangle. 7cm rea of large rectangle = l w = 7 8 = 56cm rea of small triangle = base height = 5 4 0cm So the shaded area is 56 0 = 46cm 8cm cm 5cm Example 3 The area of a triangle is 0 cm. The height is 8 cm. Find the length of the base. nswer Let the base be b cm long. rea of triangle = (base height) 8 cm So, the base is 5 cm long. 0 b = 4b b = 5 b cm Perimeter, rea & Volume Page 6
7 ourse: HV Exercise. Find the area of each of the following trapeziums: a) b) 4 cm 8.5 cm 6 cm 3 cm 0 cm c) d) 5.5 cm 4 cm 9 cm 7 cm 8 cm.5 cm 3 cm. Find the areas of the following triangles. If necessary, turn the page round and look at the triangle from a different direction. a) b) 4 cm cm 5 cm 7 cm 7 cm 6 cm Perimeter, rea & Volume Page 7
8 ourse: HV 3. Find the areas of the following parallelograms: a) b) 40 cm 0 cm cm 9 cm 0 cm 4. Find the area of the following figures in square centimetres. The measurements are all in centimetres. a) b) Find the missing measurements of the following shapes. rea ase Height a. Triangle 4 cm 6 cm b. Parallelogram 36 cm 70 cm c. Rectangle.8 m 0.64 m 6. Find the area of each of the compound shapes. a) b) 9 cm 6 cm 3cm 4 cm 3 cm cm 4 cm Perimeter, rea & Volume Page 8
9 ourse: HV c) d) is a rhombus = 9 cm. = cm. is a kite ( is the axis of symmetry. The diagonals cut at right angles.) = 0 cm. = cm. 7. For these shapes calculate (i) the perimeter (ii) the area. (a) (b) (c) 8 cm 6.5 cm 8.5 cm 6 cm 0 cm 4 cm 6.5 cm 3.5 cm 4 cm 3 cm 8. Work out the areas of these shapes correct to d.p. (a) 5.4 m (b) 4.9 m 5.5 cm 6.5 cm Perimeter, rea & Volume Page 9
10 ourse: HV 9. alculate the area of these shapes correct to d.p. (a) (b) (c).4 cm.7 cm 7.5 cm 6.78 cm 7.6 cm 4. cm 4.5 cm 0. The diagram shows the measurements, in inches, of the L on an L plate. Work out the area of the L..5 in 4 in 3.5 in.5 in. Work out the area of the shape EF. F 7 cm E 30 cm 9.5 cm cm. landscape gardener designs a layout for a garden with an awkward shape. The diagram shows his plan. Find the area of the lawn. m 5 m 3 m Patio.6 m 4 m 3.4 m Shrubs Lawn 3 m Flowers.6 m 3.6 m 4.6 m 3.6 m Perimeter, rea & Volume Page 0
CHAPTER 27 AREAS OF COMMON SHAPES
EXERCISE 113 Page 65 CHAPTER 7 AREAS OF COMMON SHAPES 1. Find the angles p and q in the diagram below: p = 180 75 = 105 (interior opposite angles of a parallelogram are equal) q = 180 105 0 = 35. Find
More informationA = ½ x b x h or ½bh or bh. Formula Key A 2 + B 2 = C 2. Pythagorean Theorem. Perimeter. b or (b 1 / b 2 for a trapezoid) height
Formula Key b 1 base height rea b or (b 1 / b for a trapezoid) h b Perimeter diagonal P d (d 1 / d for a kite) d 1 d Perpendicular two lines form a angle. Perimeter P = total of all sides (side + side
More informationPERIMETERS AND AREAS
PERIMETERS AND AREAS 1. PERIMETER OF POLYGONS The Perimeter of a polygon is the distance around the outside of the polygon. It is the sum of the lengths of all the sides. Examples: The perimeter of this
More informationStudy Guide. 6.g.1 Find the area of triangles, quadrilaterals, and other polygons. Note: Figure is not drawn to scale.
Study Guide Name Test date 6.g.1 Find the area of triangles, quadrilaterals, and other polygons. 1. Note: Figure is not drawn to scale. If x = 14 units and h = 6 units, then what is the area of the triangle
More informationFunctional Skills Mathematics
Functional Skills Mathematics Level Learning Resource Perimeter and Area MSS1/L.7 Contents Perimeter and Circumference MSS1/L.7 Pages 36 Finding the Area of Regular Shapes MSS1/L.7 Page 710 Finding the
More informationThe formula for the area of a parallelogram is: A = bh, where b is the length of the base and h is the length of the height.
The formula for the area of a parallelogram is: A = h, where is the length of the ase and h is the length of the height. The formula for the area of a parallelogram is: A = h, where is the length of the
More informationWorking in 2 & 3 dimensions Revision Guide
Tips for Revising Working in 2 & 3 dimensions Make sure you know what you will be tested on. The main topics are listed below. The examples show you what to do. List the topics and plan a revision timetable.
More informationArea and Perimeter. Practice: Find the perimeter of each. Square with side length of 6 cm. Rectangle with side lengths of 4 cm and 7 cm
Area and Perimeter Perimeter: add up all the sides (the outside of the polygon) Practice: Find the perimeter of each Square with side length of 6 cm Rectangle with side lengths of 4 cm and 7 cm Parallelogram
More informationG69 Area of Composite Shapes
G69 Area of Composite Shapes 1. a) Calculate the area of each figure. b) Draw a line to show how Shape C can be divided into rectangles A and. i) ii) A C A C Area of A = Area of A = Area of = Area of
More informationAREA. AREA is the amount of surface inside a flat shape. (flat means 2 dimensional)
AREA AREA is the amount of surface inside a flat shape. (flat means 2 dimensional) Area is always measured in units 2 The most basic questions that you will see will involve calculating the area of a square
More informationA factor is a whole number that. Name 6 different quadrilaterals. The radius of a circle. What is an axis or a line of symmetry in a 2D shape?
BOND HOW TO DO 11+ MATHS MATHS FACTS CARDS 1 2 3 4 A factor is a whole number that Name 6 different quadrilaterals. The radius of a circle is What is an axis or a line of symmetry in a 2D shape? 5 6 7
More informationSect 8.3 Quadrilaterals, Perimeter, and Area
186 Sect 8.3 Quadrilaterals, Perimeter, and Area Objective a: Quadrilaterals Parallelogram Rectangle Square Rhombus Trapezoid A B E F I J M N Q R C D AB CD AC BD AB = CD AC = BD m A = m D m B = m C G H
More informationCircumference and area of a circle
c Circumference and area of a circle 22 CHAPTER 22.1 Circumference of a circle The circumference is the special name of the perimeter of a circle, that is, the distance all around it. Measure the circumference
More information9 Area, Perimeter and Volume
9 Area, Perimeter and Volume 9.1 2D Shapes The following table gives the names of some 2D shapes. In this section we will consider the properties of some of these shapes. Rectangle All angles are right
More informationYou can use the postulates below to prove several theorems.
Using Area Formulas You can use the postulates below to prove several theorems. AREA POSTULATES Postulate Area of a Square Postulate The area of a square is the square of the length of its side, or s.
More informationChapter 11 Area of Quadrilateral
75 Chapter 11 11.1 Quadrilateral A plane figure bounded by four sides is known as a quadrilateral. The straight line joining the opposite corners is called its diagonal. The diagonal divides the quadrilateral
More informationPerimeter is the length of the boundary of a two dimensional figure.
Section 2.2: Perimeter and Area Perimeter is the length of the boundary of a two dimensional figure. The perimeter of a circle is called the circumference. The perimeter of any two dimensional figure whose
More informationLength, perimeter and area 3.1. Example
3.1 Length, perimeter and area Kno and use the names and abbreviations for units of length and area Be able to measure and make a sensible estimate of length and area Find out and use the formula for the
More informationGeometry Review. Here are some formulas and concepts that you will need to review before working on the practice exam.
Geometry Review Here are some formulas and concepts that you will need to review before working on the practice eam. Triangles o Perimeter or the distance around the triangle is found by adding all of
More informationI Perimeter, Area, Learning Goals 304
U N I T Perimeter, Area, Greeting cards come in a variety of shapes and sizes. You can buy a greeting card for just about any occasion! Learning Goals measure and calculate perimeter estimate, measure,
More informationCircle Theorems. Angles at the circumference are equal. The angle in a semicircle is x The angle at the centre. Cyclic Quadrilateral
The angle in a semicircle is 90 0 Angles at the circumference are equal. A B They must come from the same arc. Look out for a diameter. 2x Cyclic Quadrilateral Opposite angles add up to 180 0 A They must
More informationThe area of a figure is the measure of the size of the region enclosed by the figure. Formulas for the area of common figures: square: A = s 2
The area of a figure is the measure of the size of the region enclosed by the figure. Formulas for the area of common figures: square: A = s 2 s s rectangle: A = l w parallelogram: A = b h h b triangle:
More informationMensuration Introduction
Mensuration Introduction Mensuration is the process of measuring and calculating with measurements. Mensuration deals with the determination of length, area, or volume Measurement Types The basic measurement
More informationUNIT H1 Angles and Symmetry Activities
UNIT H1 Angles and Symmetry Activities Activities H1.1 Lines of Symmetry H1.2 Rotational and Line Symmetry H1.3 Symmetry of Regular Polygons H1.4 Interior Angles in Polygons Notes and Solutions (1 page)
More informationA. Areas of Parallelograms 1. If a parallelogram has an area of A square units, a base of b units, and a height of h units, then A = bh.
Geometry  Areas of Parallelograms A. Areas of Parallelograms. If a parallelogram has an area of A square units, a base of b units, and a height of h units, then A = bh. A B Ex: See how VDFA V CGB so rectangle
More information10.1: Areas of Parallelograms and Triangles
10.1: Areas of Parallelograms and Triangles Important Vocabulary: By the end of this lesson, you should be able to define these terms: Base of a Parallelogram, Altitude of a Parallelogram, Height of a
More information1. An isosceles trapezoid does not have perpendicular diagonals, and a rectangle and a rhombus are both parallelograms.
Quadrilaterals  Answers 1. A 2. C 3. A 4. C 5. C 6. B 7. B 8. B 9. B 10. C 11. D 12. B 13. A 14. C 15. D Quadrilaterals  Explanations 1. An isosceles trapezoid does not have perpendicular diagonals,
More informationGeometry of 2D Shapes
Name: Geometry of 2D Shapes Answer these questions in your class workbook: 1. Give the definitions of each of the following shapes and draw an example of each one: a) equilateral triangle b) isosceles
More information9 Areas and Perimeters
9 Areas and Perimeters This is is our next key Geometry unit. In it we will recap some of the concepts we have met before. We will also begin to develop a more algebraic approach to finding areas and perimeters.
More informationDyffryn School Ysgol Y Dyffryn Mathematics Faculty
Dyffryn School Ysgol Y Dyffryn Mathematics Faculty Formulae and Facts Booklet Higher Tier Number Facts Sum This means add. Difference This means take away. Product This means multiply. Share This means
More informationQ1. The grid below is made of rightangled triangles like this: Shade triangles on the grid to make a quadrilateral.
Q1. The grid below is made of rightangled triangles like this: Shade triangles on the grid to make a quadrilateral. Your quadrilateral must have an area of 24 cm 2 and a perimeter of 26 cm. Page 1 of
More informationLESSON SUMMARY. Measuring Shapes
LESSON SUMMARY CXC CSEC MATHEMATICS UNIT SIX: Measurement Lesson 11 Measuring Shapes Textbook: Mathematics, A Complete Course by Raymond Toolsie, Volume 1 (Some helpful exercises and page numbers are given
More informationPostulate 17 The area of a square is the square of the length of a. Postulate 18 If two figures are congruent, then they have the same.
Chapter 11: Areas of Plane Figures (page 422) 111: Areas of Rectangles (page 423) Rectangle Rectangular Region Area is measured in units. Postulate 17 The area of a square is the square of the length
More informationMeasurement of Regular Shapes
Measurement of Regular Shapes Workbook Junior Certificate School Programme Support Service Contents Chapter 1 Perimeter and Area of Squares Page 3 Chapter 2 Perimeter and Area of Rectangles Page 6 Chapter
More informationMath Tech 1 Unit 11. Perimeter, Circumference and Area. Name Pd
Math Tech 1 Unit 11 Perimeter, Circumference and Area Name Pd 111 Perimeter Perimeter  Units  Ex. 1: Find the perimeter of a rectangle with length 7 m and width 5 m. Ex. 2: Find the perimeter of the
More informationCalculating Area, Perimeter and Volume
Calculating Area, Perimeter and Volume You will be given a formula table to complete your math assessment; however, we strongly recommend that you memorize the following formulae which will be used regularly
More informationSect 9.5  Perimeters and Areas of Polygons
Sect 9.5  Perimeters and Areas of Polygons Ojective a: Understanding Perimeters of Polygons. The Perimeter is the length around the outside of a closed two  dimensional figure. For a polygon, the perimeter
More informationThe Area is the width times the height: Area = w h
Geometry Handout Rectangle and Square Area of a Rectangle and Square (square has all sides equal) The Area is the width times the height: Area = w h Example: A rectangle is 6 m wide and 3 m high; what
More information*1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles.
Students: 1. Students understand and compute volumes and areas of simple objects. *1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles. Review
More information23. [Perimeter / Area]
3. [Perimeter / rea] Skill 3. Calculating the perimeter of polygons (). MM5. 33 44 MM6. 33 44 Convert all measurements to the same unit. Find and label the length of all sides. dd together all side lengths.
More informationS.A. = L.A. + 2B = ph + 2B
Page 1 of 5 View Tutorial 5c Objective: Find the lateral area, total surface area, and volume of rectangular prisms. A prism is a polyhedron with two congruent & parallel bases. The other faces are the
More informationTypes of Triangle Sum of internal angles of triangle = 80 Equilateral Δ: All sides are equal Each internal angle = 60 Height divide the base into two equal parts Perimeter of triangle = 3 side Height of
More informationDŵr y Felin Comprehensive School. Perimeter, Area and Volume Methodology Booklet
Dŵr y Felin Comprehensive School Perimeter, Area and Volume Methodology Booklet Perimeter, Area & Volume Perimeters, Area & Volume are key concepts within the Shape & Space aspect of Mathematics. Pupils
More informationMDPT  Geometry Practice Problems. 1. ABC is an isosceles triangle with base BC. L1 and L2 are parallel. 1=80. Find 4.
MDPT  Geometry Practice Problems 1. C is an isosceles triangle with base C. L1 and L are parallel. 1=80. Find 4. L1 1 4 a. 80 b. 50 c. 45 d. 60. In the figure, the measure of arc C is 7 π / 4 and O is
More informationb = base h = height Area is the number of square units that make up the inside of the shape is a square with a side length of 1 of any unit
Area is the number of square units that make up the inside of the shape of 1 of any unit is a square with a side length Jan 297:58 AM b = base h = height Jan 298:31 AM 1 Example 6 in Jan 298:33 AM A
More informationSum of the interior angles of a nsided Polygon = (n2) 180
5.1 Interior angles of a polygon Sides 3 4 5 6 n Number of Triangles 1 Sum of interiorangles 180 Sum of the interior angles of a nsided Polygon = (n2) 180 What you need to know: How to use the formula
More informationGrade 7 Area of triangle
Grade 7 Area of triangle 7.SS.2 Develop and apply a formula for determining the area of triangles parallelograms circles 1. Illustrate and explain how the area of a rectangle can be used to determine the
More informationPerimeter and Area. Chapter 11 11.1 INTRODUCTION 11.2 SQUARES AND RECTANGLES TRY THESE
PERIMETER AND AREA 205 Perimeter and Area Chapter 11 11.1 INTRODUCTION In Class VI, you have already learnt perimeters of plane figures and areas of squares and rectangles. Perimeter is the distance around
More informationRectangular Prisms Dimensions
Rectangular Prisms Dimensions 5 Rectangular prisms are (3D) threedimensional figures, which means they have three dimensions: a length, a width, and a height. The length of this rectangular prism is
More informationGeometry Final Exam Review Worksheet
Geometry Final xam Review Worksheet (1) Find the area of an equilateral triangle if each side is 8. (2) Given the figure to the right, is tangent at, sides as marked, find the values of x, y, and z please.
More informationCovering and Surrounding: Homework Examples from ACE
Covering and Surrounding: Homework Examples from ACE Investigation 1: Extending and Building on Area and Perimeter, ACE #4, #6, #17 Investigation 2: Measuring Triangles, ACE #4, #9, #12 Investigation 3:
More information43 Perimeter and Area
43 Perimeter and Area Perimeters of figures are encountered in real life situations. For example, one might want to know what length of fence will enclose a rectangular field. In this section we will study
More informationAreas of Polygons. Goal. AtHome Help. 1. A hockey team chose this logo for their uniforms.
NEMWBAnsCH // : PM Page Areas of Polygons Estimate and measure the area of polygons.. A hockey team chose this logo for their uniforms. A grid is like an area ruler. Each full square on the grid has
More informationYOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR!
DETAILED SOLUTIONS AND CONCEPTS  SIMPLE GEOMETRIC FIGURES Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu. Thank you! YOU MUST
More informationShow that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.
Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional
More informationArea LongTerm Memory Review Review 1
Review 1 1. To find the perimeter of any shape you all sides of the shape.. To find the area of a square, you the length and width. 4. What best identifies the following shape. Find the area and perimeter
More informationGeo  CH10 Practice Test
Geo  H10 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. lassify the figure. Name the vertices, edges, and base. a. triangular pyramid vertices:,,,,
More informationGeometry Vocabulary Booklet
Geometry Vocabulary Booklet Geometry Vocabulary Word Everyday Expression Example Acute An angle less than 90 degrees. Adjacent Lying next to each other. Array Numbers, letter or shapes arranged in a rectangular
More informationGeometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.
Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know
More informationCALCULATING PERIMETER. WHAT IS PERIMETER? Perimeter is the total length or distance around a figure.
CALCULATING PERIMETER WHAT IS PERIMETER? Perimeter is the total length or distance around a figure. HOW DO WE CALCULATE PERIMETER? The formula one can use to calculate perimeter depends on the type of
More informationGrade 6 Rectangle area
Grade 6 Rectangle area 6.SS.3 Develop and apply a formula for determining the perimeter of polygons area of rectangles volume of right rectangular prisms 1. Explain, using models, how the perimeter of
More informationIdentify relationships between and among linear and square metric units. area = length x width = 60 cm x 25 cm = 1500 cm 2
1 Unit Relationships Identify relationships between and among linear and square metric units. 1. Express each area in square centimetres. a) 8 m 2 80 000 cm 2 c) 3.5 m 2 35 000 cm 2 b) 12 m 2 120 000 cm
More informationLine. A straight path that continues forever in both directions.
Geometry Vocabulary Line A straight path that continues forever in both directions. Endpoint A point that STOPS a line from continuing forever, it is a point at the end of a line segment or ray. Ray A
More informationSt Ninian s High School. I understand this part of the course = I am unsure of this part of the course =
St Ninian s High School Mathematics Department Curriculum for Excellence TJ Book E Pupil Learning Log I understand this part of the course = I am unsure of this part of the course = I do not understand
More informationPaper 2. Year 9 mathematics test. Calculator allowed. Remember: First name. Last name. Class. Date
Ma KEY STAGE 3 Year 9 mathematics test Tier 6 8 Paper 2 Calculator allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start. Write
More informationPerimeter and area formulas for common geometric figures:
Lesson 10.1 10.: Perimeter and Area of Common Geometric Figures Focused Learning Target: I will be able to Solve problems involving perimeter and area of common geometric figures. Compute areas of rectangles,
More information15 Polygons. 15.1 Angle Facts. Example 1. Solution. Example 2. Solution
15 Polygons MEP Y8 Practice Book B 15.1 Angle Facts In this section we revise some asic work with angles, and egin y using the three rules listed elow: The angles at a point add up to 360, e.g. a c a +
More information10.1 Geometry Areas of Parallelograms, Triangles and Heron s Formula
Name Due Date 4/10 https://www.youtube.com/watch?v=eh5zawhrioo 10.1 Geometry Areas of Parallelograms, Triangles and Heron s Formula Area of a Rectangle: A= Area of a Square: A= Area of a Parallelogram:
More informationGeometry Unit 6 Areas and Perimeters
Geometry Unit 6 Areas and Perimeters Name Lesson 8.1: Areas of Rectangle (and Square) and Parallelograms How do we measure areas? Area is measured in square units. The type of the square unit you choose
More informationLesson 21: Line of Symmetry and Rotational Symmetry
Lesson 21: Line of Symmetry and Rotational Symmetry Warmup 1. A(1, 6), B(4, 7), C(1, 3) R O,90 r x axis ( ABC) A B C A B C 2. Using the rules, determine the coordinates of the missing point. a) O,90 R
More information(a) 5 square units. (b) 12 square units. (c) 5 3 square units. 3 square units. (d) 6. (e) 16 square units
1. Find the area of parallelogram ACD shown below if the measures of segments A, C, and DE are 6 units, 2 units, and 1 unit respectively and AED is a right angle. (a) 5 square units (b) 12 square units
More informationArea. Area Overview. Define: Area:
Define: Area: Area Overview Kite: Parallelogram: Rectangle: Rhombus: Square: Trapezoid: Postulates/Theorems: Every closed region has an area. If closed figures are congruent, then their areas are equal.
More information2006 ACTM STATE GEOMETRY EXAM
2006 TM STT GOMTRY XM In each of the following you are to choose the best (most correct) answer and mark the corresponding letter on the answer sheet provided. The figures are not necessarily drawn to
More informationPerimeter, Area, and Volume
Perimeter is a measurement of length. It is the distance around something. We use perimeter when building a fence around a yard or any place that needs to be enclosed. In that case, we would measure the
More informationLampiran A3 LESSON PLAN 2. : Quadrilaterals (Parallelogram & Rectangle)
Lampiran A3 166 LESSON PLAN 2 School Subject Grade/ Semester Topics Time Allocation : SMP N 1 Kalasan : Mathematics : VII / 2 (Even Semester) : Quadrilaterals (Parallelogram & Rectangle) : 6 40 minutes
More informationUnit 3 Practice Test. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: lass: ate: I: Unit 3 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. The radius, diameter, or circumference of a circle is given. Find
More informationAlgebra Geometry Glossary. 90 angle
lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:
More informationSTUDENT S BOOK. Geometry and measurement
STUDENT S BOOK IES Antoni Cumella (Granollers) Curs 20082009 2D shapes: Introduction, classification, properties. Before we start: Dimension and look around Worksheet 1: Names and definition of a polygon
More informationGCSE Maths Linear Higher Tier Grade Descriptors
GSE Maths Linear Higher Tier escriptors Fractions /* Find one quantity as a fraction of another Solve problems involving fractions dd and subtract fractions dd and subtract mixed numbers Multiply and divide
More informationStudent Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes)
Student Outcomes Students give an informal derivation of the relationship between the circumference and area of a circle. Students know the formula for the area of a circle and use it to solve problems.
More informationParallelograms. Aim. Equipment. Introduction Setting up the calculations. Student Activity
Student ctivity 7 8 9 10 11 12 TINspire S Investigation Student 30min im The aim of this investigation is to learn the formulas for finding the perimeter and area of a parallelogram, and a rhombus, which
More informationTeacher Page Key. Geometry / Day # 13 Composite Figures 45 Min.
Teacher Page Key Geometry / Day # 13 Composite Figures 45 Min. 91.G.1. Find the area and perimeter of a geometric figure composed of a combination of two or more rectangles, triangles, and/or semicircles
More information12 CONSTRUCTIONS AND LOCI
12 ONSTRUTIONS N LOI rchitects make scale drawings of projects they are working on for both planning and presentation purposes. Originally these were done on paper using ink, and copies had to be made
More informationEDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 1. Chapter 5. Working with shape and space
EDEXCEL FUNCTIONAL SKILLS PILOT Maths Level 1 Chapter 5 Working with shape and space SECTION H 1 Calculating perimeter 86 2 Calculating area 87 3 Calculating volume 89 4 Angles 91 5 Line symmetry 92 6
More informationAlgebra III. Lesson 33. Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms  Trapezoids
Algebra III Lesson 33 Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms  Trapezoids Quadrilaterals What is a quadrilateral? Quad means? 4 Lateral means?
More informationNational 4: Expressions and Formulae
Biggar High School Mathematics Department National 4 Pupil Booklet National 4: Expressions and Formulae Learning Intention Success Criteria I can simplify algebraic expressions. I can simplify and carry
More informationEstimating Angle Measures
1 Estimating Angle Measures Compare and estimate angle measures. You will need a protractor. 1. Estimate the size of each angle. a) c) You can estimate the size of an angle by comparing it to an angle
More informationPaper 2. Year 9 mathematics test. Calculator allowed. Remember: First name. Last name. Class. Date
Ma KEY STAGE 3 Year 9 mathematics test Tier 5 7 Paper 2 Calculator allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start. Write
More informationPERIMETER AND AREA OF PLANE FIGURES
PERIMETER AND AREA OF PLANE FIGURES Q.. Find the area of a triangle whose sides are 8 cm, 4 cm and 30 cm. Also, find the length of altitude corresponding to the largest side of the triangle. Ans. Let ABC
More informationMathematics Second Practice Test 1 Levels 46 Calculator not allowed
Mathematics Second Practice Test 1 Levels 46 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school
More informationAREA QUESTIONS AND ANSWERS
AREA QUESTIONS AND ANSWERS 1. The length and breadth of a square are increased by 40$ and 30% respectively. The area of the resulting rectangle exceeds the area of the square by: (a) 42% (b) 62% (c) 82%
More informationGrade 9 Herons Formula
ID : ww9heronsformula [1] Grade 9 Herons Formula For more such worksheets visit www.edugain.com Answer t he quest ions (1) Find the area of the unshaded region in the f igure below: () The perimeter
More informationGeo  CH9 Practice Test
Geo  H9 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the area of the parallelogram. a. 35 in 2 c. 21 in 2 b. 14 in 2 d. 28 in 2 2.
More informationVOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region.
Math 6 NOTES 7.5 Name VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region. **The formula for the volume of a rectangular prism is:** l = length w = width h = height Study Tip:
More informationSigns, Signs, Every Place There Are Signs! Area of Regular Polygons p. 171 Boundary Lines Area of Parallelograms and Triangles p.
C H A P T E R Perimeter and Area Regatta is another word for boat race. In sailing regattas, sailboats compete on courses defined by marks or buoys. These courses often start and end at the same mark,
More informationSimilar shapes. 33.1 Similar triangles CHAPTER. Example 1
imilar shapes 33 HTR 33.1 imilar triangles Triangle and triangle have the same shape but not the same size. They are called similar triangles. The angles in triangle are the same as the angles in triangle,
More informationGeometry Chapter 9 Extending Perimeter, Circumference, and Area
Geometry Chapter 9 Extending Perimeter, Circumference, and Area Lesson 1 Developing Formulas for Triangles and Quadrilaterals Learning Targets LT91: Solve problems involving the perimeter and area of
More informationQ1. Lindy has 4 triangles, all the same size. She uses them to make a star. Calculate the perimeter of the star. 2 marks.
Q1. Lindy has 4 triangles, all the same size. She uses them to make a star. Calculate the perimeter of the star. Page 1 of 16 Q2. Liam has two rectangular tiles like this. He makes this L shape. What is
More informationNumber & Place Value. Addition & Subtraction. Digit Value: determine the value of each digit. determine the value of each digit
Number & Place Value Addition & Subtraction UKS2 The principal focus of mathematics teaching in upper key stage 2 is to ensure that pupils extend their understanding of the number system and place value
More informationName Revision Sheet 1
Name Revision Sheet 1 1 What is 8? Show your working 11 Solve the equation y 1 Round 79 to the nearest 10. 1 Expand ( x 1 0 ) Use BIDMAS to work out 5 1 How many lines of symmetry does a square have? 1
More information