1. Congruence in Right Triangles
Learning Target: I can prove right triangles congruent using HL Theorem

2. Right Triangles contain ·one right angle
·two legs (sides beside the right angle)
·one hypotenuse (side opposite the right angle)
legs
hypotenuse
*do not assume the legs are congruent
right angle

3. Hypotenuse-Leg Theorem (HL Theorem)
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

4. What additional information you would need to use the HL Theorem.1. 2. 3.
None
Right Angles
A pair of legs 4. 5.
Right angles.
Hypotenuses

5. Think about these when trying to write proofs
To use the HL theorem, you must show
·there are two right angles
·the triangles have congruent hypotenuses
·there is one pair on congruent legs
Think about these when trying to write proofs