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