Question

1. which statement is true by the asa postulate?

△cba≅△abc
△cba≅△ade
△cba≅△dea
△cba≅△cab

Explanation:

Step1: Recall ASA Postulate

The ASA (Angle - Side - Angle) Postulate states that 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.

Step2: Analyze the triangles in the figure

In the given figure, in \(\triangle CBA\) and \(\triangle ADE\), we can observe that \(\angle B=\angle E = 90^{\circ}\), \(BA = AE\) (marked with double - hash), and \(\angle CAB=\angle DAE\) (vertical angles are congruent).

Answer:

B. \(\triangle CBA\cong\triangle ADE\)