for each pair of triangles, determine whether the hypotenuse - leg (hl) congruence property can be used to…

for each pair of triangles, determine whether the hypotenuse - leg (hl) congruence property can be used to prove that the triangles are congruent. if necessary, you may learn what the markings on a figure indicate. (a) (b) can the hl congruence property be used? yes no yes no (c) (d) can the hl congruence property be used? yes no yes no

for each pair of triangles, determine whether the hypotenuse - leg (hl) congruence property can be used to prove that the triangles are congruent. if necessary, you may learn what the markings on a figure indicate. (a) (b) can the hl congruence property be used? yes no yes no (c) (d) can the hl congruence property be used? yes no yes no

Answer

Explanation:

Step1: Recall HL - Hypotenuse - Leg congruence property

The HL congruence property 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.

Step2: Analyze part (a)

In part (a), we have two right - triangles. But we do not know if the hypotenuses are congruent and we do not know if the corresponding legs are congruent. So, the answer is No.

Step3: Analyze part (b)

In part (b), we have two right - triangles. The common side is the hypotenuse for both triangles and one of the legs is marked as congruent for both triangles. So, the answer is Yes.

Step4: Analyze part (c)

In part (c), we have two right - triangles. We know the lengths of one leg are equal (both 10 cm), but we do not know about the hypotenuses. So, the answer is No.

Step5: Analyze part (d)

In part (d), we have two right - triangles. We know the lengths of one leg are equal (marked with single tick) and the hypotenuses are equal (marked with double ticks). So, the answer is Yes.

Answer:

(a) No (b) Yes (c) No (d) Yes