1. Section 4.6 Hypotenuse-Leg
SWBAT: prove right triangles are congruent using the HL Theorem!
Quick Review! X Y Z A B C
leg
leg
hypotenuse
leg
hypotenuse
leg

2. Hypotenuse-Leg (HL) Theorem:
If the _______________ and one ______ of one RIGHT triangle are congruent to the hypotenuse and one leg of another ___________ triangle, then the triangles are congruent!
hypotenuse
leg
right
To use the HL Theorem, you must know/show:
There are two right triangles
The triangles have congruent hypotenuses
There is one pair of corresponding congruent legs

3. Are the triangles congruent? If so, write the congruence statement.X Y Z A B C R S T U
No; not rt triangles
Yes by HL;
ΔRUT  ΔSUT P O N M D E F L J
Yes by AAS;
ΔDEF  ΔJLF
Yes by HL;
ΔPOM  ΔMNP

4. Using the HL Theorem in PROOFS!
Given: W J Z K
Prove:
Given
___________
Def of rt triangle
___________
3. _______________ 3. Reflexive HL
___________