Question

1. choose the correct answer.

which theorem or postulate could be used to prove the congruence of the pair of triangles?
ll
ha
la
hl

Explanation:

• LL (Leg - Leg): Applies when we know two legs of right - angled triangles are congruent. But we don't have information about two legs here.
• HA (Hypotenuse - Angle): For right - angled triangles, if the hypotenuse and an acute angle are congruent. Here, we have a right angle (common in right - angled triangles), a marked acute angle (given as equal), and the hypotenuse (marked as equal).
• LA (Leg - Angle): Requires a leg and an angle (other than the right angle) to prove congruence. But we are given information about the hypotenuse and an angle.
• HL (Hypotenuse - Leg): Needs hypotenuse and a leg. But we are given an angle instead of a leg.

Since we have a right - angled triangle (right angle), an acute angle (marked as equal), and the hypotenuse (marked as equal), the HA (Hypotenuse - Angle) theorem is applicable.

Answer:

HA