Question

Please help me with the question below?

Answer 1

`HL`

Explanation:

.

`HL` would work because `AB` and `BD` are shown to be congruent and they are both hypotenuses of the two right triangles.

Additionally, they share the leg `BC`.

Answer 2

This is an example of the HL postulate for congruent right triangles.

Explanation:

"HL" means hypoteneuse-leg. When you have two right triangles where

1) their hypoteneuses are congruent, and

2) one leg of one triangle is congruent to one leg of the other,

then the triangles are congruent by the HL postulate.

Here, the hypoteneuses are given as congruent segments, that is what one short tick mark through each segment means. And the two triangles have one leg in common, so that leg is of course congruent with itself and that completes the requirements for the HL postulate.

Note that this postulate is only for right triangles.
Postulates that apply to all triangles require a third pair of elements to establish congruence, like SSS requiring three pairs of congruent sides.