Name: _____________________________
Common Core Geometry – Honors
Date: ______________
Hypotenuse-Leg Proofs
AIM: How do we prove right triangles congruent?
Do Now: In ABC, A  C, AB  5x  6, BC  3x  14
Find: 1. The value of x.
2. The measure of AB and BC
Properties of Right Triangles:
a. ___________________
b. ___________________
c. ___________________
d. ___________________
e. ___________________
Hypotenuse-Leg Theorem: If the hypotenuse and leg of one triangle are congruent
to the corresponding parts of the other, then the two right triangles are
congruent.
Example:
Given: PB  AC, PD  AE, AB  AD
Prove: ABP  ADP
Class Work:
1. Given: DA  AB, CB  AB, AC  BD.
Prove: ACB  BDA
2. Given: DF  CF , BE  CF , AB  CD, AF  EC .
Prove: AEB  CDF
Name: ___________________________
Common Core Geometry – Honors
1. Given: AB  AD,CB  CD, AB  CB .
Prove: ABD  CBD.
Date: ______________
Hypotenuse-Leg Proofs-HW
2. Given: NM  MR ,QR  MR , NO  QP , MP  RO .
Prove: MNO  PQR .