Presentation is loading. Please wait.

Presentation is loading. Please wait.

HL Postulate Lesson 3.8. Postulate: If there exists a correspondence between the vertices of two right triangles such that the hypotenuse and a leg of.

Similar presentations


Presentation on theme: "HL Postulate Lesson 3.8. Postulate: If there exists a correspondence between the vertices of two right triangles such that the hypotenuse and a leg of."— Presentation transcript:

1 HL Postulate Lesson 3.8

2 Postulate: If there exists a correspondence between the vertices of two right triangles such that the hypotenuse and a leg of one triangle are congruent to the corresponding parts of the other triangle, the two right triangles are congruent. HL This only works with right triangles!

3 Given: AB  AD <1  <2 Thus <3  <4 So BC  CD, AC  AC Then triangle ABC  Triangle ADC SSS B C A D 2 4 1 3

4 B A D CC Leg, right angle, hypotenuse, S AS

5 Y X O Z Given circle O YO ⊥ YX ZO ⊥ ZX Conclude: YX  ZX StatementReason 1.Circle OGiven 2.OY  OZRadii of circle are congruent (L) 3.YO ⊥ YX, ZO ⊥ ZXGiven 4.  OYX &  OZX are rt  s ⊥ ⇒ right  (  ) 5.OX  OXReflexive (H) 6. △ OYX  △ OZXHL (2, 4, 5) 7.YX  ZXCPCTC

6 Remember, you still have three things to prove congruent: 1. Right angle 2. One leg 3. Hypotenuse


Download ppt "HL Postulate Lesson 3.8. Postulate: If there exists a correspondence between the vertices of two right triangles such that the hypotenuse and a leg of."

Similar presentations


Ads by Google