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Geometry: Section 3.8
Name:
Objective: To prove theorems congruent using Hypotenuse-Leg (HL) theorem.
Hypotenuse-Leg Theorem: BL If two sides of a triangle are ≅,
then the angles opposite them are ≅.
Givens ∆ABC, ! DEF, with m!A = m!D = 90˚ ,
AB = DE, BC = EF
Prove:
C
Proof:
E
B
A
D
F
G
Abbreviation:
How many conditions are involved when using HL to prove ∆’s congruent?
Given: BC ! AC, BD ! AD, AC " AD
!!!"
Prove: AB bisects ! CAD
Proof:
C
A
B
D
Y
Given: !O, YO ! YX, ZO ! ZX
Prove: YX = ZX
Proof:
Homework: 3.8 pg. 158-160 #4-18 even
X
O
Z