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5.2 Right Triangle Congruence

Learn to solve problems using the properties of right triangles and the concept of congruence. Understand LL, HA, LA, and HL correspondences and name postulates when identifying congruence or non-congruence. Practice solving equations involving right triangles.

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5.2 Right Triangle Congruence

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  1. 5.2 Right Triangle Congruence • Use properties of Right Triangle • Use Congruence of Right Triangle. • Solving Problems by using Congruence of Right Triangle

  2. Right Triangle:A Triangle with one Right Angle ( 90 degrees)

  3. HA correspondence • HL correspondence • LL correspondence • LA correspondence • AA correspondence The Congruence Postulates

  4. LL Congruence

  5. HA Congruence

  6. LA Congruence

  7. HL Congruence

  8. Name That Postulate (when possible) HA HL LL LA

  9. Name That Postulate (when possible) Not Congruent LL LL LA

  10. Name That Postulate (when possible) Not Congruent HA HA Not Congruent

  11. Solution: 2x + 3 = 4x + 1 2x = 4 X = 2 3y + 8 = 4y – 7 8 = y – 7 Y = 15

  12. Solution: 2x + 4 = 56 2x = 52 X = 26 2y - 9 = 23 2y = 32 Y = 16

  13. Solution: y + 50 = 3y + 20 2y =30 Y = 15 2x – 4 = 6 2x = 10 X = 5

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