Question

got it? 2. given: ∠cab ≅ ∠dae, (overline{ba}congoverline{ea}), ∠b and ∠e are right angles prove: △abc ≅ △aed statements reasons

Explanation:

Step1: State given information

• $\angle CAB\cong\angle DAE$ (Given)
• $\overline{BA}\cong\overline{EA}$ (Given)
• $\angle B$ and $\angle E$ are right angles (Given)

Step2: Use ASA (Angle - Side - Angle) congruence criterion

Since we have two angles ($\angle CAB\cong\angle DAE$ and $\angle B\cong\angle E$ as they are right angles) and the included side ($\overline{BA}\cong\overline{EA}$) congruent.
By ASA (Angle - Side - Angle) congruence postulate, if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Answer:

Statements	Reasons
$\overline{BA}\cong\overline{EA}$	Given
$\angle B\cong\angle E$	Definition of right angles (all right angles are congruent)
$\triangle ABC\cong\triangle AED$	ASA (Angle - Side - Angle) congruence postulate