Question

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

Explanation:

• AAS Theorem: Requires two angles and a non - included side. Not applicable here as we have right triangles with hypotenuse and a leg.
• HL Theorem: Applies to right triangles. It states that if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent. This matches the given triangles (right - angled, with marked hypotenuse and leg congruent).
• ASA Postulate: Requires two angles and the included side. Not relevant as we are dealing with right triangles and hypotenuse - leg.
• SAS Postulate: Requires two sides and the included angle. Not for right - triangle hypotenuse - leg congruence.

Answer:

HL Theorem