# HL Congruence (Hypotenuse-Leg Congruence)

How to solve HL congruence problems: postulate, example and its solution (proof).

## Postulate

If the hypotenuse and the leg of a right triangle

are congruent to

the hypotenuse and the leg of another right triangle,

then those two right triangles are congruent.

## Example

First, show that △*ABC* and △*DCB* are right triangles.

∠*A* and ∠*D* are right angles.

So △*ABC* and △*DCB* are right triangles.

*BC* is equal to itself.

So *BC* ≅ *BC*.

Use the given statement.*AB* ≅ *CD*

The hypotenuse and the leg of △*ABC*

are congruent to

the hypotenuse and the leg of △*DCB*.

Then, by the HL congruence postulate,

△*ABC* ≅ △*DCB*.