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Proving RightTriangles Congruent

Proving RightTriangles Congruent. Free powerpoints at http://www.worldofteaching.com. F. B. A. C. E. D. The Idea of a Congruence. Two geometric figures with exactly the same size and shape. How much do you need to know. . . . . . about two triangles

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Proving RightTriangles Congruent

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  1. Proving RightTriangles Congruent Free powerpoints at http://www.worldofteaching.com

  2. F B A C E D The Idea of a Congruence Two geometric figures with exactly the same size and shape.

  3. How much do you need to know. . . . . . about two triangles to prove that they are congruent?

  4. Corresponding Parts • AB DE • BC EF • AC DF •  A  D •  B  E •  C  F B A C E F D In Lesson 4.2, you learned that if all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent. ABC DEF

  5. SSS SAS ASA AAS Do you need all six ? NO !

  6. HL HA LL LA Do you need to use these for right triangles ? NO !

  7. Right triangle vocabulary Leg hypotenuse leg Since you know the right angles always match you only need two more parts to be congruent.

  8. LL : leg - leg

  9. LA : leg - angle

  10. HA : hypotenuse - angle

  11. HL : hypotenuse - leg

  12. Name That Postulate (when possible)

  13. Let’s Practice ACFE Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: B D For SAS: AF For AAS:

  14. HW Indicate the additional information needed to enable us to apply the specified congruence postulate. A For LA: B C D For LL: E F

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