1. 4.6 Congruence in Right Triangles You will construct and justify statement about right triangles.

2. Lets start off with a definition. The hypotenuse is the side opposite the right angle. h y p o t e n u s e The other two sides are called legs. l e g Remember a right triangle has one right angle.

3. If the hypotenuse and a leg of a triangle are congruent to the hypotenuse and leg on another triangle, then the two triangles are congruent. Here comes a theorem Hypotenuse-Leg Theorem {HL} BACEDF A B C D E F

4. Given: ADCB, D and B are right ’s Prove: ADC CBA It’s time for a proof. StatementReason 1. Given 1. AD  CB,  D &  B are rt  ’s 2. Def of rt  ’s 2.  ADC &  CBA are rt  ’s 3. AC  is hypotenuse 3. Def of hyp. 4. reflexive 4. AC  AC A D B C 5.  ADC  CBA 5. HL

5. Assignment Workbook Page 327 all