Question

8 which of the following can be used to show that these triangles are congruent? a asa b sss c sas d aas e not congruent

Explanation:

Step1: Identify vertical angles

$\angle ACB$ and $\angle DCE$ are vertical angles, so $\angle ACB=\angle DCE$.

Step2: Analyze given information

We know $BC = CE$ (marked as equal), $\angle B=\angle E = 90^{\circ}$.

Step3: Apply congruence criterion

By the ASA (Angle - Side - Angle) congruence criterion, since we have two angles and the included side equal ($\angle B=\angle E$, $BC = CE$, $\angle ACB=\angle DCE$), the triangles $\triangle ABC$ and $\triangle DEC$ are congruent.

Answer:

A. ASA