Mid Chapter Review for Congruent and Similar Triangles
Chapter
Chapter 7
Section
Mid Chapter Review for Congruent and Similar Triangles
Solutions 10 Videos

Name the triangles that are

a) congruent to \triangle ABC

b) similar to \triangle ABC

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 =

Q2

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

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.

Q4

Determine the value of x and y.

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.

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?

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.