# Triangles congruent by ASA and AAS proofs

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##### Introduction
###### Lessons
1. Similar tirangles VS. Congruent triangles
2. Ways to prove congruency:
• SSS
• SAS
• ASA
• AAS
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##### Examples
###### Lessons
1. What is the third congruence that is needed to prove that $\triangle ABC$$\cong$$\triangle DEF$ using the given postulate or theorem?

1. $\overline {AB}$$\cong$$\overline {DE}$ and $\angle C$$\cong$$\angle F$
Prove by AAS.
2. $\overline {AC}$$\cong$$\overline {DF}$ and $\angle A$$\cong$$\angle D$
Prove by ASA.
3. $\angle A$$\cong$$\angle D$ and $\angle B$$\cong$$\angle E$
Prove by AAS.
2. Decide if the following triangles are congruent. Show your reasoning.
1. $\triangle ABC$, $\triangle CBD$

2. $\triangle XYZ$, $\triangle XWZ$

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