congruence in right triangles n.
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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.

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objective
OBJECTIVE

To prove right triangles congruent using the Hypotenuse-Leg Theorem

vocabulary
VOCABULARY

Parts of a Right Triangle:

Hypotenuse

Leg

Leg

The right angle always point to the hypotenuse.

key concept
KEY CONCEPT

Hypotenuse-Leg Theorem (HL)

A

D

E

F

B

C

~

~

~

class work
CLASS WORK

Complete the proof.

Given: V and W are right angles

and

Prove: WVZ VWX

class work1
CLASS WORK

WVZ VWX

1. If mX = 54, what is mZ?

2. If mX = 54, what is mVWZ?

class work2
CLASS WORK

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

3.

class work3
CLASS WORK

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

4.

exit problems
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
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.