Classifying Quadrilaterals


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1 1 lassifying Quadrilaterals Identify and sort quadrilaterals. 1. Which of these are parallelograms?,, quadrilateral is a closed shape with 4 straight sides. trapezoid has exactly 1 pair of parallel sides. 2. Which of these are trapezoids? G, G or indicates parallel sides. parallelogram has 2 pairs of parallel sides. 3. raw a quadrilateral that is not a parallelogram or a trapezoid. nswers will vary. or example: H rectangle, a square, and a rhombus are special parallelograms. 4. raw a square. What other shape names can be used to describe a square? and indicate equal sides. a parallelogram, a rectangle, a rhombus 6 nswers hapter 7: 2 Geometry opyright 24 Nelson
2 2 uilding Quadrilaterals Relate properties of quadrilaterals to their side lengths. 1. Use straws or toothpicks to make these shapes. raw a picture of each shape. What type of quadrilateral is each shape? a) a quadrilateral with 4 equal sides and square corners Quadrilaterals can have 4, 3, 2, or no equal side lengths. This shape has 3 equal side lengths. a square Parallelograms have 2 pairs of equal side lengths. b) a quadrilateral with 2 equal long sides and 2 equal short sides, but no square corners a parallelogram c) a quadrilateral with no equal sides, but 1 pair of parallel sides a trapezoid d) a quadrilateral with 3 equal sides, but no parallel sides a quadrilateral opyright 24 Nelson nswers hapter 7: 2 Geometry 61
3 3 ongruent Shapes Identify and construct congruent shapes. 1. Which shapes are congruent? 2 shapes are congruent if they are identical in size and shape. and and H G H I and G and I 2. onstruct a shape congruent to each shape on the grid, using the given line as one side. a) b) 62 nswers hapter 7: 2 Geometry opyright 24 Nelson
4 4 Similar Shapes Identify and describe similar shapes. 1. Which shapes look similar to the first shape? xplain. 2 shapes are similar if they are identical in shape, but not necessarily in size. and. They are also circles. 2. Which shapes look similar to the first shape? xplain. G H and H. They look like they to have 3 equal sides and 3 equal angles like the first triangle. 3. Which shapes look similar to the first shape? xplain. and. is too tall and is too long. 4. Janice says that congruent shapes are special similar shapes. o you agree? Why or why not? Yes, congruent shapes are similar shapes that happen to have the same size. opyright 24 Nelson nswers hapter 7: 2 Geometry 63
5 HPTR 7 5 Measuring ngles Measure angles using a protractor. 1. How many degrees is each angle? protractor is a tool for measuring angles This angle is 5, or 5 degrees nswers hapter 7: 2 Geometry opyright 24 Nelson
6 6 Solve Problems by cting Them Out ct out a problem to solve it. Trace this square and cut out the square you drew. ut out as many squares as you need to answer the questions below square tables are arranged to make 1 long narrow table. 1 person sits on each outside edge of a square table. How many people can sit at the long table? Sketch your answer after you act it out. useful problemsolving strategy is to act out a problem. Sometimes you may need to substitute other objects for the ones in the problem. (See Question 1.) 14 people 2. How many squares does it take to make a bigger square? ind more than one answer. Sketch your answers after you act them out. or example, 4, 9, 16. opyright 24 Nelson nswers hapter 7: 2 Geometry 65
7 7 Lines of Symmetry raw lines of symmetry. 1. Trace each shape and cut out the shape you drew. old it to find a line of symmetry. Unfold it. Repeat to find other lines of symmetry. On this page, draw all the lines of symmetry that you found for each shape. line of symmetry is a line that divides a shape in half so if you fold the shape along the line, the halves match. a) b) square has 4 lines of symmetry. c) e) d) 2. Which of the shapes in Question 1 has the most lines of symmetry? How many? The shape in part d), 3 66 nswers hapter 7: 2 Geometry opyright 24 Nelson
8 8 lassifying 2 Shapes Identify and sort 2 shapes. 1. I J H a) Which shapes have parallel sides?,,,, G, and H G 2 shapes can be sorted, or classified, in many different ways. Some of the things you can consider are the number of sides whether any sides are equal in length whether the shapes are congruent whether there are any parallel sides whether there are square corners whether the shape has symmetry b) Which shapes are similar? and c) Which shapes have symmetry?,,, G, H, and I 2. escribe another way to sort the shapes in Question 1. Which shapes belong? or example, shapes that have 6 sides: and H. Shapes that have at least 1 right corner:,,, and J. 3. raw 4 shapes of your own and show 2 ways to sort them. or example: Shapes that have 4 sides or more are quadrilaterals:,, and. Shapes that have at least 1 square corner: and. opyright 24 Nelson nswers hapter 7: 2 Geometry 67
9 Test Yourself ircle the correct answer. 1. What type of shape is shape?. a quadrilateral. a trapezoid. a rhombus. a parallelogram 2. Which shape has more than 2 lines of symmetry?. shape. shape G. shape H. shape 3. Which shape has no parallel sides?. shape. shape. shape. shape 4. Which shape is similar to shape?. shape. shape G. shape H. shape 5. Which of these shapes is congruent to shape? Which of these shape names is not another way of describing a square?. a rectangle. a trapezoid G. a parallelogram H. a quadrilateral 7. What is the measure of the angle shown? nswers hapter 7: 2 Geometry opyright 24 Nelson
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