Quiz about Proving Triangle Similarity by AA

Question 1

Are the triangles similar?

Accepted Answer

Yes

Answer

No

Answer

Cannot be determined

Question 2

Choose the correct similarity statement for the triangles.

Accepted Answer

$$\Delta ABC\sim\Delta MLN$$

Answer

$$\Delta BCA\sim\Delta MNL$$

Answer

$$\Delta CAB\sim\Delta NLM$$

Answer

None of these

Question 3

Are the triangles similar?

Accepted Answer

No

Answer

Yes

Answer

Cannot be determined

Question 4

If, which statement MUST be true?

Accepted Answer

$$\angle ADB\cong\angle AEC$$

Answer

$$\angle ABD\cong\angle ADB$$

Answer

$$\angle DAB\cong\angle DEC$$

Answer

$$\angle ACE\cong\angle AEC$$

Question 5

Are these triangles similar?

Accepted Answer

Yes, similar by AA~

Answer

No, they are not similar

Answer

Not Enough Information

Question 6

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

Accepted Answer

Yes, AA

Answer

Yes, SSS

Answer

Not Similar

Answer

Yes, SAS

Question 7

What reasons complete the proof?

Accepted Answer

Vertical Angle Theorem, AA Similarity Postulate

Answer

Given, AA Similarity Postulate

Answer

Reflexive Property, SAS Similarity Postulate

Answer

Definition of Angle Bisector, SSS Similarity Postulate

Question 8

Choose the correct similarity statement for the triangles.

Accepted Answer

$$\Delta WXZ\sim\Delta ZXY$$

Answer

$$\Delta XWZ\sim\Delta XYZ$$

Answer

$$\Delta ZWX\sim\Delta YXZ$$

Answer

None of these

Question 9

In the diagram, $$\Delta ABC\sim\Delta EDC$$ . Find $$m\angle CAD$$ .

Accepted Answer

$$50\degree$$

Answer

$$40\degree$$

Answer

$$90\degree$$

Answer

$$12$$

Question 10

What additional piece of information proves ?

Accepted Answer

$$\angle QRP\cong\angle TRS$$

Answer

$$\overline{PQ}\cong\overline{ST}$$

Answer

$$\overline{PR}\cong\overline{SR}$$

Answer

The triangles cannot be proven similar.

Question 11

Are the triangles similar?

Accepted Answer

Yes

Answer

No

Answer

Cannot be determined

Question 12

Are these two triangles similar?

Accepted Answer

Yes, Angle WXZ is congruent to Angle ZXY. Angle W is congruent to Angle Z. So, Triangle WXZ ~ to Triangle ZXY.

Answer

No.

Answer

No, they have different angle measurements.

Answer

Yes, both triangles add up to 180 degrees.

Question 13

Determine whether the triangles are similar. If they are, write a similarity statement.

Accepted Answer

They are similar. Triangle ABC ~ Triangle MLN

Answer

They are not similar.

Answer

They are similar . Triangle ABC ~ Triangle MNL

Answer

They are similar. Triangle ABC ~ Triangle NLM

Question 14

Which statement is NOT true?

Accepted Answer

Triangle XWY ~ Triangle WYX

Answer

Angle Z is congruent to Angle X.

Answer

Angle XWY is congruent to Angle ZYW because of corresponding angles.

Answer

Triangle XWY ~ Triangle ZYW

Question 15

Accepted Answer

d

Answer

a

Answer

b

Answer

c

Question 16

Question 16.

Accepted Answer

58, 90, DEF, DFE, DEF

Answer

58, 90, EDF, DFE, DEF

Answer

58, 90, DEF, DFE, EDF

Answer

58, 32, DEF, DFE, DEF

Answer

58, 90, DEF, EFD, DEF

Question 17

"length of your" = "length of your shadow"

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Proving Triangle Similarity by AA

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