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# 4-6 - PowerPoint PPT Presentation

Congruence in Right Triangles. 4-6. OBJECTIVE. To prove right triangles congruent using the Hypotenuse-Leg Theorem. VOCABULARY. Parts of a Right Triangle:. Hypotenuse. Leg. Leg. The right angle always point to the hypotenuse. KEY CONCEPT. Hypotenuse-Leg Theorem (HL). A. D. E. F. B.

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## 4-6

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Congruence in Right Triangles

### 4-6

OBJECTIVE

To prove right triangles congruent using the Hypotenuse-Leg Theorem

VOCABULARY

Parts of a Right Triangle:

Hypotenuse

Leg

Leg

The right angle always point to the hypotenuse.

KEY CONCEPT

Hypotenuse-Leg Theorem (HL)

A

D

E

F

B

C

~

~

~

CLASS WORK

Complete the proof.

Given: V and W are right angles

and

Prove: WVZ VWX

CLASS WORK

WVZ VWX

1. If mX = 54, what is mZ?

2. If mX = 54, what is mVWZ?

CLASS WORK

For what values of x and y are the triangles congruent by HL?

3.

CLASS WORK

What additional information would prove each pair of triangles congruent by the Hypotenuse-Leg Theorem?

4.

EXIT PROBLEMS

For what values of x and y are the triangles congruent by HL?

What additional information would prove each pair of triangles congruent by the Hypotenuse-Leg Theorem?

5.

6. 7.

SUMMARY

The Hypotenuse-Leg Theorem allows us to prove two triangles congruent if we can mark a pair of right angles, one set of legs congruent, and both hypotenuses congruent.