Triangles congruent by ASA and AAS proofs

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Intros

Lessons

1. Similar tirangles VS. Congruent triangles
2. Ways to prove congruency:

Examples

Lessons

What is the third congruence that is needed to prove that $\triangle ABC$ $△ A BC$ $\cong$ $≅$ $\triangle DEF$ $△ D EF$ 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.
Decide if the following triangles are congruent. Show your reasoning.
1. $\triangle ABC$ , $\triangle CBD$
2. $\triangle XYZ$ , $\triangle XWZ$

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