Question

name the correct postulate or theorem for proving these triangles congruent.

Explanation:

Step1: Identify the right triangles

Triangles \( \triangle CTR\) and \( \triangle CER\) are right - angled ( \( \angle T=\angle E = 90^{\circ}\)).

Step2: Check the hypotenuse and leg

The hypotenuse \(CR\) is common to both triangles (\(CR = CR\)). The leg \(CT = CE\) (given by the tick mark).
By the HL (Hypotenuse - Leg) congruence criterion for right - angled triangles, \( \triangle CTR\cong\triangle CER\).

Answer:

HL (Hypotenuse - Leg)