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#8.2 Proving Triangle Similarity by AA

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Are the triangles similar?

a)

Yes

b)

No

c)

Cannot be determined

2.

Choose the correct similarity statement for the triangles.

a)

ΔBCAΔMNL\Delta BCA\sim\Delta MNL

b)

ΔABCΔMLN\Delta ABC\sim\Delta MLN

c)

ΔCABΔNLM\Delta CAB\sim\Delta NLM

d)

None of these

3.

Are the triangles similar?

a)

Yes

b)

No

c)

Cannot be determined

4.

If ΔABDΔACE\Delta ABD\sim\Delta ACE , which statement MUST be true? 

a)

 ADBAEC\angle ADB\cong\angle AEC  

b)

 ABDADB\angle ABD\cong\angle ADB  

c)

 DABDEC\angle DAB\cong\angle DEC  

d)

 ACEAEC\angle ACE\cong\angle AEC  

5.

Choose the correct similarity statement for the triangles.

a)

ΔXWZΔXYZ\Delta XWZ\sim\Delta XYZ

b)

ΔZWXΔYXZ\Delta ZWX\sim\Delta YXZ

c)

ΔWXZΔZXY\Delta WXZ\sim\Delta ZXY

d)

None of these

6.

In the diagram, ΔABCΔEDC\Delta ABC\sim\Delta EDC . Find  mCADm\angle CAD .  

a)

 40°40\degree  

b)

 50°50\degree  

c)

 90°90\degree  

d)

 1212  

7.

In the diagram, ΔABCΔEDC\Delta ABC\sim\Delta EDC . Find  EDED .  

a)

 4040  

b)

 2424  

c)

 66  

d)

 1212  

8.

In the diagram, ΔABCΔEDC\Delta ABC\sim\Delta EDC .Find  ADAD .  

a)

 4040  

b)

 2424  

c)

 66  

d)

 1212  

9.

What additional piece of information proves ΔQPRΔTSR\Delta QPR\sim\Delta TSR  ?

a)

 QRPTRS\angle QRP\cong\angle TRS  

b)

 PQST\overline{PQ}\cong\overline{ST}  

c)

 PRSR\overline{PR}\cong\overline{SR}  

d)

The triangles cannot be proven similar.

10.

Are the triangles similar?

a)

Yes

b)

No

c)

Cannot be determined