Download
4 6 congruence in right triangles n.
Skip this Video
Loading SlideShow in 5 Seconds..
4.6 Congruence in Right Triangles PowerPoint Presentation
Download Presentation
4.6 Congruence in Right Triangles

4.6 Congruence in Right Triangles

345 Vues Download Presentation
Télécharger la présentation

4.6 Congruence in Right Triangles

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

  1. 4.6 Congruence in Right Triangles Chapter 4 Congruent Triangles

  2. 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*

  3. Pythagorean Theorem a2 + b2 = c2 c *c is always the hypotenuse a b

  4. Pythagorean Theorem a2 + b2 = c2 c *c is always the hypotenuse 3 4

  5. Pythagorean Theorem a2 + b2 = c2 13 *c is always the hypotenuse a 5

  6. Pythagorean Theorem 25 25 7 7 Are these triangles congruent?

  7. 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.

  8. Congruence in Right Triangles Are the two triangles congruent? A X B C Y Z

  9. Proving Triangles Congruent Given: WJ = KZ, <W and <K are right angles Prove:ΔJWZ = ΔZKJ Z W J K

  10. Proving Triangles Congruent Given: CD = EA, AD is the perpendicular bisector of CE Prove: ΔCBD = ΔEBA C D A B E

  11. 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