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## 4.6 Congruence in Right Triangles

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**4.6 Congruence in Right Triangles**Chapter 4 Congruent Triangles**4.6 Congruence in Right Triangles**Right Triangle Hypotenuse Leg Leg *The Hypotenuse is the longest side and is always across from the right angle***Pythagorean Theorem**a2 + b2 = c2 c *c is always the hypotenuse a b**Pythagorean Theorem**a2 + b2 = c2 c *c is always the hypotenuse 3 4**Pythagorean Theorem**a2 + b2 = c2 13 *c is always the hypotenuse a 5**Pythagorean Theorem**25 25 7 7 Are these triangles congruent?**Congruence in Right Triangles**Theorem 4-6 Hypotenuse-Leg (H-L) 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.**Congruence in Right Triangles**Are the two triangles congruent? A X B C Y Z**Proving Triangles Congruent**Given: WJ = KZ, <W and <K are right angles Prove:ΔJWZ = ΔZKJ Z W J K**Proving Triangles Congruent**Given: CD = EA, AD is the perpendicular bisector of CE Prove: ΔCBD = ΔEBA C D A B E**Practice**• Pg 219 1-4 Write a two-column proof • Pg 219 5-8 Answer Question • Pg 220 9 - 10 Answer Question • Pg 220 11-12 Write a two-column proof • Pg 220-221 14-17 • Pg 222 28 – 29 Write a two-column proof