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DRILL
• Given:
AB  CD
AB || CD
Prove:
ABC  CDA
B
A
C
D
Geometry
Hypotenuse Leg
Congruence Theorem
Chapter 8: Section 3
Recall our theorems:
Triangle Congruence Thms.
SAS
ASA
AAS
SSS
SsA
HL
Hypotenuse Leg Theorem (HL)
• If, in 2 right triangles,
the hypotenuse and a leg
of one are congruent to
the hypotenuse and a leg
of the other, the 2
triangles are congruent.
Example 1
• Given: PQ  RS,
Q and S are
right angles.
• Prove: QPR  SRP
Q
P
R
S
Q
P
Statements
1. PQ  RS
,Q and S are
right angles.
2.
PR  PR
R
S
Reasons
1. Given
2. Reflex. Prop.
3. Q  S
3. def of rt. angle
4. ΔQPR = ΔSRP
4. HL Thm.
Homework
Page 422
#’s 1 – 6
#’s 12, 14a, 17