1. EXAMPLE 3
Use the Hypotenuse-Leg Congruence Theorem
Write a proof.
GIVEN
WY XZ, WZ ZY, XY ZY
PROVE
WYZ XZY
SOLUTION
Redraw the triangles so they are side by side with corresponding parts in the same position. Mark the given information in the diagram.

2. EXAMPLE 3
Use the Hypotenuse-Leg Congruence Theorem
STATEMENTS
REASONS
WY XZ
Given
WZ ZY, XY ZY
Given
Definition of lines
Z and Y are right angles
Definition of a right triangle
WYZ and XZY are right triangles. L
ZY YZ
Reflexive Property of Congruence
WYZ XZY
HL Congruence Theorem

3. GUIDED PRACTICE
for Examples 3 and 4
Use the diagram at the right.
Redraw ACB and DBC side by side with corresponding parts in the same position.

4. GUIDED PRACTICE
for Examples 3 and 4
STATEMENTS
REASONS L
BC CB
Reflexive Property of Congruence
ACB DBC
HL Congruence Theorem

5. GUIDED PRACTICE
for Examples 3 and 4
Use the diagram at the right.
Use the information in the diagram to prove that
ACB DBC
STATEMENTS
REASONS
AC DB
Given
AB BC, CD BC
Given
Definition of lines
C B
Definition of a right triangle
ACB and DBC are right triangles.

6. Daily Homework Quiz
Is there enough given information to prove the triangles congruent? If there is, state the postulate or theorem. 2.
FGH, HJK
ANSWER
HL Thm.