Question

1. name the postulate or theorem you can use to prove the triangles congruent. asa postulate aas theorem hl theorem sas postulate

Explanation:

Step1: Recall triangle congruence postulates/theorems

• ASA (Angle - Side - Angle): Two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.
• AAS (Angle - Angle - Side): Two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle.
• HL (Hypotenuse - Leg): For right triangles, if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle.
• SAS (Side - Angle - Side): Two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Step2: Analyze the given right triangles

The two triangles are right triangles (right angles are given). The hypotenuse (the longest side, marked as equal with the same tick mark) and a leg (the side adjacent to the right angle, not the hypotenuse) are congruent.

Answer:

HL Theorem