Download 4-6: Congruence in Right Triangles

4-6: Congruence in Right
Triangles
CP Geometry
Mr. Gallo
Theorem 4-6: Hypotenuse-Leg (HL) Theorem
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.
X
P
Q
R
Y
Z
D
B
Given: BE bisects AD at C ,
E
AB  BC , DE  EC , AB  DE
Prove: ABC  DEC
Statement
C
A
Justification
A
D
Given: AD  CB,
B and D are right angles
Prove: ABC  CDA
Statement
Justification
B
C
Homework: p.262 #10-13, 17, 18, 30, 34-36