1. Advanced Geometry
Section 3.8 The HL Postulate
Learner Objective: Students will solve proofs and problems using
 the HL Postulate of triangle congruence.

2. Warm Up
Statement
Reason

3. How can we prove that triangles are congruent?

4. What about SSA?
In these triangles, two pairs of corresponding sides and a NON-INCLUDED 
pair of corresponding angles are congruent.
Do the triangles appear to be congruent?

5. There is one special case when SSA does prove triangles are congruent
There is one special case when SSA does prove triangles are 
congruent. This occurs when the corresponding angles are RIGHT 
ANGLES which makes the congruent sides a HYPOTENUSE and a 
LEG of the RIGHT triangle.

7. H-L Postulate
If there exists a correspondence between the vertices of 
 two RIGHT TRIANGLES such that
the Hypotenuse and a Leg of one triangle are congruent to 
 the corresponding parts of the other triangle,
then the two RIGHT TRIANGLES are congruent.
ONLY APPLIES TO RIGHT TRIANGLES!

10. STATEMENTS
REASONS
Given:
Prove:
bisects A C B D

11. Prove: Corresponding angle bisectors of congruent triangles are 
 congruent.
STATEMENTS
REASONS D E F H A B C G
Given:
Prove:
bisects

13. HW:
Pg. 158
# 1,2,6,7,10,12,15