Applying Triangle Congruence

Applying Triangle Congruence

Find the missing information!

Applying Triangle Congruence

• First - Identify what is marked in your figure, sides and/or angles

• Second - Identify any information you can add into the figure, sides and/or angles

• Third - Identify what information you still need for the given postulate or theorem

Multiple Choice

What information is needed to prove

 $\Delta DZX\cong\Delta YXZ$  using SSS Congruence.

•  $\overline{DX}\ \cong\ \overline{YZ}$  

•  $\overline{ZX}\ \cong\ \overline{XZ}$  

•  $\angle D\ \cong\ \angle Y$  

•  $\angle DXZ\ \cong\ \angle YZX$  

Open Ended

What information is needed to prove

 $\Delta RST\cong\Delta XYZ$  using SSS Triangle Congruence

Multiple Choice

What information is needed to prove

 $\Delta ECS\cong\Delta TRS$  using ASA Congruence.

•  $\overline{ES}\ \cong\ \overline{TS}$  

•  $\ \overline{CS}\cong\ \overline{RS}$  

•  $\angle E\ \cong\ \angle T$  

•  $\overline{EC}\ \cong\ \overline{TR}$  

Open Ended

What information is needed to prove

 $\Delta WUV\cong\Delta KMV$  using ASA Triangle Congruence

Multiple Select

What information is needed to prove

 $\Delta ZXY\cong\Delta NLM$  using AAS Congruence. 

(Select ALL possible answers) 

•  $\overline{ZX}\ \cong\ \overline{NL}$  

•  $\ \overline{ZY}\cong\ \overline{NM}$  

•  $\angle Z\ \cong\ \angle N$  

•  $\overline{XY}\ \cong\ \overline{LM}$  

Open Ended

What information is needed to prove

 $\Delta TDC\cong\Delta EDC$  using AAS Triangle Congruence

Poll

How confident do you feel identifying the missing piece when proving triangles congruent?

• Very confident

• Somewhat confident

• Not confident yet