Question

1. determine which method if any can prove the triangles are congruent. 1 point

13
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hl
not possible

1. determine which method if any can prove the triangles are congruent. 1 point

14

Explanation:

Step1: Analyze the given information for problem 13

We have two right - angled triangles. One pair of legs (the altitude) is common (so equal), and another pair of legs (marked with equal segments) is equal. Also, the hypotenuse - leg (HL) theorem states that if the hypotenuse and a leg of a right - triangle are equal to the hypotenuse and a leg of another right - triangle, then the two right - triangles are congruent. Here, the two triangles are right - angled (right angle is given), the hypotenuse (the non - equal sides of the big triangle which are marked as equal) and a leg (the common altitude) are equal.

Step2: Analyze the given information for problem 14 (assuming the figure shows a common side, a right - angle (marked) and another side (marked equal))

We have two right - angled triangles. One pair of legs (common side) is equal, another pair of legs (marked) is equal. By the Hypotenuse - Leg (HL) theorem (since they are right - angled triangles), if the hypotenuse and a leg of one right - triangle are equal to the hypotenuse and a leg of another right - triangle, the triangles are congruent.

Answer:

1. HL
2. HL