which pair of triangles can be proven congruent by the hl theorem?
which pair of triangles can be proven congruent by the hl theorem?
Answer
Explanation:
Step1: Recall HL - Hypotenuse - Leg theorem
The HL theorem states that if the hypotenuse and a leg of one right - triangle are congruent to the hypotenuse and a leg of another right - triangle, then the two right - triangles are congruent. So, we need to look for pairs of right - triangles where the hypotenuses are marked congruent and one pair of legs are marked congruent.
Step2: Analyze the given triangle pairs
In the first pair, we may not have right - triangles or proper markings for HL. In the second pair, we may not have right - triangles or proper markings for HL. In the third pair, we have two right - triangles (marked with right - angle symbols), the hypotenuses are marked congruent (with the same number of hash marks) and one pair of legs are marked congruent (with the same number of hash marks).
Answer:
The third pair of triangles.