Question

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) 40 mm 40 mm can the hl congruence property be used? yes no (b) can the hl congruence property be used? yes no (c) can the hl congruence property be used? yes no (d) can the hl congruence property be used? yes no

Explanation:

Step1: Recall HL - Congruence Property

HL (Hypotenuse - Leg) congruence property is applicable only for right - triangles where the hypotenuse and one leg of one right - triangle are congruent to the hypotenuse and one leg of another right - triangle.

Step2: Analyze pair (a)

The given sides are legs, not hypotenuses. So, HL cannot be used.

Step3: Analyze pair (b)

We have right - triangles, and the hypotenuses and one pair of legs are congruent. So, HL can be used.

Step4: Analyze pair (c)

The triangles are not right - triangles. So, HL cannot be used.

Step5: Analyze pair (d)

The given sides are legs, not hypotenuses. So, HL cannot be used.

Answer:

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