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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)

ΔBCA∼ΔMNL\Delta BCA\sim\Delta MNL

b)

ΔABC∼ΔMLN\Delta ABC\sim\Delta MLN

c)

ΔCAB∼ΔNLM\Delta CAB\sim\Delta NLM

d)

None of these

3.

Are the triangles similar?

a)

Yes

b)

No

c)

Cannot be determined

4.

If ΔABD∼ΔACE\Delta ABD\sim\Delta ACE , which statement MUST be true? 

a)

 ∠ADB≅∠AEC\angle ADB\cong\angle AEC  

b)

 ∠ABD≅∠ADB\angle ABD\cong\angle ADB  

c)

 ∠DAB≅∠DEC\angle DAB\cong\angle DEC  

d)

 ∠ACE≅∠AEC\angle ACE\cong\angle AEC  

5.

Choose the correct similarity statement for the triangles.

a)

ΔXWZ∼ΔXYZ\Delta XWZ\sim\Delta XYZ

b)

ΔZWX∼ΔYXZ\Delta ZWX\sim\Delta YXZ

c)

ΔWXZ∼ΔZXY\Delta WXZ\sim\Delta ZXY

d)

None of these

6.

In the diagram, ΔABC∼ΔEDC\Delta ABC\sim\Delta EDC . Find  m∠CADm\angle CAD .  

a)

 40°40\degree  

b)

 50°50\degree  

c)

 90°90\degree  

d)

 1212  

7.

In the diagram, ΔABC∼ΔEDC\Delta ABC\sim\Delta EDC . Find  EDED .  

a)

 4040  

b)

 2424  

c)

 66  

d)

 1212  

8.

In the diagram, ΔABC∼ΔEDC\Delta ABC\sim\Delta EDC .Find  ADAD .  

a)

 4040  

b)

 2424  

c)

 66  

d)

 1212  

9.

What additional piece of information proves ΔQPR∼ΔTSR\Delta QPR\sim\Delta TSR  ?

a)

 ∠QRP≅∠TRS\angle QRP\cong\angle TRS  

b)

 PQ‾≅ST‾\overline{PQ}\cong\overline{ST}  

c)

 PR‾≅SR‾\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