5-2 right triangles objective: to recognize and use tests for congruence of right triangles

5-2 Right TrianglesOBJECTIVE:

To recognize and use tests for congruence of right triangles.

Theorem: LL (Leg-Leg)• If the legs of one right triangle

are congruent to the corresponding legs of another right triangle, then the triangles are congruent.

Theorem: HA (hypotenuse-angle)

• If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.

Theorem: LA (leg-angle)• If one leg and an acute angle of

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

Theorem: HL (hypotenuse-leg)• If the hypotenuse and a leg of

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

Examples:•Determine the congruence pattern. (HL, LL, HA, LA)

1. AB DC

ADC DAB

_ _ _ _

A B

C D

E

F GH

I

J K L

M

2.

________

FG HG

3.

________

MJ ML

EXIT TICKET:•Determine the congruence pattern. (HL, LL, HA, LA)

S H O

P

E

X AC

T

1.

________

2.

_______

OH SH

E T

EA TA