#8.2 Proving Triangle Similarity by AA

Are the triangles similar?

• Yes

• No

• Cannot be determined

Choose the correct similarity statement for the triangles.

• $\Delta BCA\sim\Delta MNL$

• $\Delta ABC\sim\Delta MLN$

• $\Delta CAB\sim\Delta NLM$
  

• None of these

Are the triangles similar?

• Yes

• No

• Cannot be determined

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

•  $\angle ADB\cong\angle AEC$  

•  $\angle ABD\cong\angle ADB$  

•  $\angle DAB\cong\angle DEC$  

•  $\angle ACE\cong\angle AEC$  

Choose the correct similarity statement for the triangles.

• $\Delta XWZ\sim\Delta XYZ$

• $\Delta ZWX\sim\Delta YXZ$

• $\Delta WXZ\sim\Delta ZXY$
  

• None of these

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

•  $40\degree$  

•  $50\degree$  

•  $90\degree$  

•  $12$  

In the diagram, $\Delta ABC\sim\Delta EDC$ . Find  $ED$ .  

•  $40$  

•  $24$  

•  $6$  

•  $12$  

In the diagram, $\Delta ABC\sim\Delta EDC$ .Find  $AD$ .  

•  $40$  

•  $24$  

•  $6$  

•  $12$  

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

•  $\angle QRP\cong\angle TRS$  

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

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

• The triangles cannot be proven similar.

Are the triangles similar?

• Yes

• No

• Cannot be determined