Question

True or false, the following two triangles are congruent by HL.

Answer 1

True

${ \underline{ \underline{ \bf{ \gray{Explanation : }}}}}$

We know that,

H. L. theorem - It is a type of congruency where,

If the hypotenuse and one leg of the right triangle are congruent to the hypotenuse and one leg to the another right angle, then the triangles are congruent.

Here,

Observation :

Observation tells us that it is congruent having one leg and the hypotenuse is congruent to the another's right triangle's leg and hypotenuse.

In figure :

$\sf\leadsto \overline{AB} = \overline{DE} \: (hypotenuse) \:$

$\sf\leadsto \overline{BC} = \overline{EF} \: (Leg)\:$

Hope it helps!!

Answer 2

Answer:

True

We know that,

H. L. theorem - It is a type of congruency where,

If the hypotenuse and one leg of the right triangle are congruent to the hypotenuse and one leg to the another right angle, then the triangles are congruent.

Here,

Observation :

Observation tells us that it is congruent having one leg and the hypotenuse is congruent to the another's right triangle's leg and hypotenuse.

⇝ AB = DE (hypotenuse)

⇝BC = EF (Leg)