Quad means four. Why would all of these shapes be called quadrilaterals? Each shape has four sides.

Transcription

1 There is lots of vocabulary in this chapter! So you have 2 Study Guides today! Watch the slide show & pay attention! Quad means four. Why would all of these shapes be called quadrilaterals? Each shape has four sides. square rhombus trapezoid rectangle parallelogram 1

2 In this slide show you will learn that we identify quadrilaterals by: their angles and the length of their sides. A square has 4 sides that are each the same length and are congruent. It has four right angles (perfect corners)

3 A rhombus has four sides that are each the same length. But it has two acute & two obtuse angles. obtuse acute acute obtuse A square and a rhombus both have four sides that are the same length. So, how are they different? 3

4 A rhombus can be thought of as a slanted square. If we push on the left-hand side of the square, it might end up looking like a rhombus. The only difference between a square and a rhombus are their angles. 4

5 A square is a rectangle but with four congruent sides. A square is a rhombus but with four right angles. Although a square can be called a rectangle and a rhombus, we call it a square because it has 4 right angles & 4 congruent sides. 5

6 A trapezoid has four sides. Two sides are parallel. The opposing two sides are not parallel. These are not parallel These are parallel This trapezoid is regular. regular trapezoid Also known as an isosceles trapezoid This trapezoid is an irregular trapezoid. irregular trapezoid 6

7 A rectangle has four sides two long sides and two short sides. Two sides are parallel. The opposing two sides are also parallel. It also has four right angles. A parallelogram has four sides two long sides and two short sides. Two sides are parallel. The opposing two sides are also parallel. But, it has two acute and two obtuse angles. 7

8 A parallelogram can be thought of as a slanted rectangle. If we push on the left-hand side of this rectangle, it might end up looking like a parallelogram. The only difference between a rectangle and a parallelogram are their angles. 8

9 A rectangle is a parallelogram but with four right angles. Although a rectangle can be called a parallelogram, we call it a rectangle because it has 4 right angles. A rhombus is a parallelogram with four congruent sides Although a rhombus can be called a parallelogram, we call it a rhombus because it has 4 congruent sides. 9

10 Quadrilateral - Trapezoid - Parallelogram - Rectangle - Rhombus - Square - Four sided figure. A quadrilateral with only one set of parallel sides. A quadrilateral with two sets of parallel sides. A parallelogram with right angles. A parallelogram with equal sides. A rectangle with equal sides or a rhombus with right angles. Trapezoid Only 1 set of parallel sides Isosceles Trapezoid 4 sided figure Rhombus Parallelogram with equal sides Rhombus with right angles Parallelogram Two sets of parallel sides Square Rectangle Parallelogram with right angles Rectangle with equal sides 10

11 State whether each statement is always true, sometimes true, or false. 1) A square is a rectangle. 2) A rectangle is a square. Always True Sometimes True 3) All rectangles are squares. 4) All squares are parallelograms. False Always True State whether each statement is always true, sometimes true, or false. 5) All quadrilaterals are rectangles. False 6) A square is a trapezoid. False 7) A parallelogram is a rectangle. Sometimes True 11

12 Parallelograms Rectangles Squares Trapezoid Isosceles Trapezoid Kite Quad Rhombuses Give all the names that apply to the figure below. Circle the most specific name. 1) 2) Parallelogram, Quadrilateral 7 Quadrilateral, Parallelogram, Rectangle, Rhombus, Square 12

13 Give all the names that apply to the figure below. Circle the most specific name. 14 3) 4) Trapezoid, Quadrilateral Quadrilateral, Parallelogram, Rhombus Angle Name the Triangle Name Acute: All angles Right: Only One Obtuse: Only One less than 90. angle equal to 90. angle more than 90 The total angle sum all the angles in a triangle is 180º 13

14 Name the Triangle Side Name Equilateral: All three sides equal. Isosceles: sides equal. Two Scalene: No equal sides. The End! Take Out Your Study Guide! 14

15 # 4 There are five types of quadrilaterals. Parallelogram Rectangle Rhombus Square Trapezoid Opposite sides are parallel and congruent Parallelogram with four right angles Parallelogram with four congruent sides Rectangle with four congruent sides Quadrilateral with exactly two parallel sides # 5 Quads Venn Diagram Parallelograms Rectangles Squares Trapezoid Isosceles Trapezoid Kite Quad Rhombuses 15

16 Extra # Extra Polygon: is a closed plane figure formed by three or more line segments. Vertex: a point where two or more rays meet. Congruent: Having the same shape and the same size. Diagonal of a Polygon: a segment joining two nonconsecutive vertices. 16