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Master 3.17
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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?
______________________________________________________________
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Master 3.18
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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.
Place the baseline of the protractor on one line.
¾
Place the centre mark of the protractor on the dot.
¾
Count from 0 along the protractor until you reach the other line.
¾
Read and record the angle’s measure.
______________________________________________________________
Step 4 Use the words baseline, arm, vertex, and degrees to explain what
you did.
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
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Master 3.19
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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.
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Master 3.20
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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.
______________________________________________________________
______________________________________________________________
______________________________________________________________
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Master 3.21
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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?
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Master 3.22
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Step-by-Step 6
Lesson 6, Question 4
Use the “Attributes of Quadrilaterals” chart in your book to solve these
¾
riddles.
All the figures are quadrilaterals.
¾
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.
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Master 3.23
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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?
____________________________________
____________________________________
____________________________________
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Master 3.24
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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? ____________________________________________
______________________________________________________________
______________________________________________________________
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Master 3.25
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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 ___________________________________________
______________________________________________________________
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Master 3.26
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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.
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