Quiz about Similar Triangles Solving Measures

Question 1

Choose answer choices for x and y. Round to the nearest tenth if necessary.

Take. your. time.

Accepted Answer

y = 4.5

Accepted Answer

x = 6

Answer

y = 10

Answer

x = 6.5

Answer

y = 3.3

Question 2

What is the size of angle x and the length of sides y and z?

Accepted Answer

x = 63, y = 2.5, z = 9.6

Answer

x = 63, y = 6.4, z = 3.75

Answer

x = 97, y = 6.4, z = 9.6

Answer

x = 97, y = 2.5, z = 3.75

Question 3

Which is a correct congruence statement.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 4

Identify the correct similar triangles

Accepted Answer

$$\Delta GEF\sim\Delta HGF\sim\Delta HEG$$

Answer

$$\Delta FGE\sim\Delta FGH\sim\Delta GHE$$

Answer

$$\Delta GEF\sim\Delta HFG\sim\Delta HEG$$

Answer

$$\Delta FGE\sim\Delta FHG\sim\Delta GEH$$

Question 5

What is a possible equation for solving for x?

Accepted Answer

$$\frac{4}{x\ }=\frac{x}{16}$$

Accepted Answer

$$\frac{16}{x\ }=\frac{x}{4}$$

Answer

$$\frac{4}{x\ }=\frac{x}{12}$$

Answer

$$\frac{x}{4}=\frac{4}{y}$$

Question 6

Find the value of x

Accepted Answer

6.72

Answer

12.14

Answer

85.71

Answer

7.29

Question 7

To find the clearance under an overpass, you need to find the height of a vertical concrete support beam. You use a cardboard square to line up the top and bottom of the beam. Your friend measures the vertical distance from you to the beam. What is the approximate height of the beam?

Accepted Answer

14.5 feet

Answer

9.5 feet

Answer

47.6 feet

Answer

3.6 feet

Answer

8.6 feet

Question 8

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

Accepted Answer

AA

Answer

SAS

Answer

SSS

Answer

Not Similar

Question 9

What does AA similarity theorem state?

Accepted Answer

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Answer

If two angles of one triangle are congruent to two sides of another triangle, then the triangles are similar.

Answer

If two sides of one triangle are congruent to two sides of another triangle, then the triangles are similar.

Answer

If two sides of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Question 10

If two angles of one triangle are congruent to two angles of another triangle, then what can be said about the two triangles?

Accepted Answer

The two triangles are similar.

Answer

The two triangles are parallel.

Answer

The two triangles are congruent.

Answer

The two triangles are perpendicular.

Similar Triangles Solving Measures

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