Textbook

10 Principles of Mathematics Nelson
Chapter

Chapter 7
Section

Mid Chapter Review for Congruent and Similar Triangles

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Solutions
10 Videos

Name the triangles that are

a) congruent to `\triangle`

ABC

b) similar to `\triangle`

ABC

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Q1

`\triangle`

ABC ~ `\triangle`

RST. Complete each statement.

a) `\angle ABC`

=

b) `\angle BCA = `

c) `\frac{AB}{RS} = `

d) `\triangle STR \sim `

e) `\frac{ST}{BC} = `

f) `\angle SRT = `

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Q2

Write a proportion for the corresponding side lengths in these similar triangles.

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Q3

Dan says ,“If you know the measures of two angles in each of two triangles, you can always determine if the triangles are similar.” Is this statement true or false? Explain your reasoning.

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Q4

Determine the value of `x`

and `y`

.

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Q5

For `\triangle ABC \sim \triangle DEF`

:

a) Determine the length of `BC`

b) Determine the length of `DE`

c) Is `\triangle GHI \sim \triangle DEF`

? Explain.

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Q6

Nora, who is 172.0 cm tall, is standing near a tree. Nora’s shadow is 3.2 m long. At the same time, the shadow of the tree is 27.0 m long. How tall is the tree?

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Q7

A right triangle has side lengths 6 cm, 8 cm, and 10 cm. The longest side of a larger similar triangle measures 15 cm. Determine the perimeter and area of the larger triangle.

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Q8

Connie placed a mirror on the ground, 5.00 m from the base of a flagpole. She stepped back until she could see the top of the flagpole reflected in the mirror. Connie’s eyes are 1.50 m above the ground and she saw the reflection when she was 1.25 m from the mirror. How tall is the flagpole?

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Q9

Cam is designing a new flag for his hockey team. The flag will be triangular, with sides that measure 0.8 m, 1.2 m, and 1.0 m. Cam has created a scale diagram, with sides that measure 20 cm, 30 cm, and 25 cm, to take to a flag maker. Did Cam create his scale diagram correctly?

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Q10