Transcript 5.4 Hypotenuse – Leg Congruence Theorem : HL

Hypotenuse – Leg Congruence
Theorem: HL
Hypotenuse-Leg Theorem (HL)
 If the hypotenuse and leg of a right
triangle are congruent to the hypotenuse
and leg of a second triangle, then the two
triangles are congruent.
A
M
leg
leg
P
C
B
leg
leg
N
A
M
leg
P
C
B
N
OR
leg
A
leg
M
P
N
leg
C
B
Examples: Determine if the
triangles are congruent. State
the postulate or theorem.
Postulates and Theorems We
Know Now:
 SSS
 - three sides
 SAS
 - two sides & the included angle
 ASA
 - two angles and the included side
 AAS
 - two angles and the non-included side
 HL
 - hypotenuse and leg of a right triangle