Master 3.17 Step-by-Step 1 Lesson 1, Question 4 Use a geoboard or square dot paper. Make each figure. Join the dots to divide each figure. Check that you understand the meaning of congruent. Step 1 Divide this figure into 3 congruent triangles. Hint: Make each triangle 2 units long at the bottom. Step 2 Divide this figure into 3 congruent rectangles. Hint: Make 1 side of each rectangle 2 units long. Step 3 Divide this figure into 4 congruent shapes. Hint: Make 4 rectangles. Which figure can you divide in different ways? Why can you not divide the other figures in different ways? 68 Copyright 2004 Pearson Education Canada Inc.
Master 3.18 Step-by-Step 2 Lesson 2, Question 6 Step 1 Use a ruler and draw a line. Mark one end of the line with a dot. Step 2 Use a ruler to draw another line that starts at the dot. Step 3 Use a 6-division protractor transparency to measure your angle. ¾Place the baseline of the protractor on one line. ¾Place the centre mark of the protractor on the dot. ¾Count from 0 along the protractor until you reach the other line. Read and record the angle s measure. Step 4 Use the words baseline, arm, vertex, and degrees to explain what you did. Copyright 2004 Pearson Education Canada Inc. 69
Master 3.19 Step-by-Step 3 Lesson 3, Question 4 Step 1 Look at the 90º mark on a protractor. What kind of angle measures 90º? Step 2 Use a ruler to draw an angle you think is less than 90º. Step 3 Use a ruler to draw an angle you think measures 90º. Step 4 Use a ruler to draw an angle you think is greater than 90º. Step 5 Use a protractor to check that each angle is the correct size. 70 Copyright 2004 Pearson Education Canada Inc.
Master 3.20 Step-by-Step 4 Lesson 4, Question 6 Step 1 List 3 attributes of parallelograms. Step 2 Use a ruler and draw a parallelogram on the dots. Step 3 Write something about a parallelogram that is never true. Step 4 Write something about a parallelogram that is sometimes true. Step 5 Write something about a parallelogram that is always true. Copyright 2004 Pearson Education Canada Inc. 71
Master 3.21 Step-by-Step 5 Lesson 5, Question 4 Step 1 List some attributes of a square. Hint: Think about angles and sides. Why is this quadrilateral not a square? Step 2 List some attributes of a rectangle. Hint: Think about angles and sides. Why is this quadrilateral not a rectangle? Step 3 List some attributes of a rhombus. Why is this quadrilateral not a rhombus? Step 4 List some attributes of a kite. Why is this quadrilateral not a kite? 72 Copyright 2004 Pearson Education Canada Inc.
Master 3.22 Step-by-Step 6 Lesson 6, Question 4 ¾Use the Attributes of Quadrilaterals chart in your book to solve these riddles. ¾All the figures are quadrilaterals. Write down all the different figures you find for each riddle. a) I do not have any right angles. All my sides are the same length. What am I? b) All 4 of my angles are right angles. I have 2 pairs of equal sides. What am I? c) I have 2 parallel sides. I have 2 right angles. What am I? d) Make up your own riddle by filling in two or more of these phrases: I have parallel sides. I have right angles. I have opposite sides equal. I have adjacent sides equal. Trade riddles with a classmate. Solve your classmate s riddle. Copyright 2004 Pearson Education Canada Inc. 73
Master 3.23 Step-by-Step 7 Lesson 7, Question 3 Step 1 What makes 2 figures similar? Hint: Think about the lengths of sides and the sizes of angles. Use words and pictures to show your answer for each of these questions. Step 2 Are all squares similar? Step 3 Are all rectangles similar? Step 4 Are all triangles similar? 74 Copyright 2004 Pearson Education Canada Inc.
Master 3.24 Step-by-Step 8 Lesson 8, Question 4 Step 1 Use words and pictures. Explain the difference between a pyramid and a prism. Step 2 Are these the faces of a pyramid or a prism? What is the name of the solid? How do you know? Step 3 Are these the faces of a pyramid or a prism? What is the name of the solid? How do you know? Copyright 2004 Pearson Education Canada Inc. 75
Master 3.25 Step-by-Step 9 Lesson 9, Question 4 Think about how to sort solids using faces, edges, and vertices. Think about how to sort solids using the shapes of their bases. Complete each sentence. Use all, some, or no to make each sentence true. Explain how you know the sentence is true. Step 1 rectangular prisms have 6 vertices. This is true because Step 2 cubes are rectangular prisms. This is true because Step 3 rectangular prisms are cubes. This is true because Step 4 triangular prisms have 5 congruent faces. This is true because 76 Copyright 2004 Pearson Education Canada Inc.
Master 3.26 Step-by-Step 10 Lesson 10, Question 3 Step 1 Make a list of the solids you know. Solid Edges Vertices Step 2 Record the number of edges and the number of vertices in each solid. Step 3 Use Plasticine and drinking straws to make skeletons for some of these solids. Look for patterns. Step 4 Underline the solids in your list that have skeletons with 20 or fewer edges, and 6 or fewer vertices. Copyright 2004 Pearson Education Canada Inc. 77