2. DEFINITION The hypotenuse leg theorem states that two triangles are congruent only if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of another triangle.
3. EXAMPLES_____ (: 1. Can we use the HL congruence thorem to prove that these triangles are congruent? A THEN YESS!!!!! D It is given that angle D and angle B are right angles. We are also given that line AD is congruent to line BC. Triangle ABC and triangle CDA are right angles by definition. Line AC is congruent to line CA by the reflexive property of congruency .Therefore triangle ABC is congruent to triangle CDA by HL. C B
4. NOW … a two - columnproof 2. Given: DA is perpendicular to AB Prove: triangle ACD and triangle ACB are congruent. A D B C
5. 3. To know these two triangles are congruent by HL what other info do we need? We know that BC=DE What do we need for hypotenuse leg? AC=FE d. f. a. c. b. e.
