Quiz about Congruency and Similarity

Question 1

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

Accepted Answer

72 feet

Answer

144 feet

Answer

36 feet

Question 2

Are these two triangles similar? Which do you use to prove it?

Accepted Answer

Yes, AA Theorem

Answer

Yes, SAS Theorem

Answer

Yes, SSS Theorem

Answer

Not Similar

Question 3

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 10

Answer

x = 4

Answer

x = 2

Answer

x = 5

Question 4

Which is the correct way to write a congruency statement about the two figures shown?

Accepted Answer

FED ~ TSR

Answer

FED ~ RST

Answer

FED ~ STR

Answer

FED ~ RTS

Answer

They are all correct.

Question 5

State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

Accepted Answer

$$\Delta PQR\sim\Delta EDF;\ AA\sim$$

Answer

$$\Delta PQR\sim\Delta EDF;\ ASA\sim$$

Answer

$$\Delta PQR\sim\Delta EDF;\ SAS\sim$$

Answer

$$\Delta PRQ\sim\Delta EDF;\ AA\sim$$

Answer

$$\Delta PRQ\sim\Delta FED;\ AA\sim$$

Question 6

Solve for x. The polygons in each pair are similar.

Accepted Answer

9

Answer

11

Answer

15

Answer

10

Question 7

Which similarity statement is true for the figures shown?

Accepted Answer

SAS

Answer

AA

Answer

SSS

Answer

AAS

Question 8

Solve for X.

Accepted Answer

2 ft

Answer

3 ft

Answer

4 ft

Answer

6 ft

Question 9

The solids are similar. Find the missing dimension b.

Accepted Answer

18 m

Answer

10 m

Answer

8 m

Answer

6 m

Question 10

Which of the following would you use to prove the two triangles are similar?

Accepted Answer

SAS

Answer

SSS

Answer

AA

Answer

$$Not\sim$$

Question 11

Solve for X.

Accepted Answer

2 ft

Answer

3 ft

Answer

4 ft

Answer

6 ft

Question 12

Look at the picture. Find the value of x.

Accepted Answer

20

Answer

40

Answer

130

Answer

169

Question 13

Determine whether the triangles are similar or not. If so, state how they are similar.

Accepted Answer

Not Similar

Answer

Yes, by AA

Answer

Yes, by SAS

Answer

Yes, by SSS

Question 14

Are these two triangles similar? Which similarity criterion do you use to prove it?

Accepted Answer

Yes, SAS

Answer

Yes, AA

Answer

Yes, SSS

Answer

Not Similar

Question 15

State if the triangles are similar by SSS.

Accepted Answer

Yes, SSS Similarity

Answer

Similiar but not SSS

Answer

Not Similar

Question 16

How do these triangles appear to be similar?

Accepted Answer

AA

Answer

SAS

Answer

SSS

Answer

Not Similar

Question 17

The Side-Angle-Side Similarity (SAS ~) Theorem states that if two sides of one triangle are ________________ to two sides of another triangle and their _________________ angles are congruent, then the triangles are similar.

Accepted Answer

proportional; included

Answer

adjacent; intersect

Answer

complementary; form

Answer

adjacent; create

Question 18

Identify which triangles can be proven similar using the SSS Theorem. Mark all that apply.

Accepted Answer

Option A is correct

Accepted Answer

Option C is correct

Answer

B.

Congruency and Similarity

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