1 / 6

HL Postulate

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 one triangle are congruent to the corresponding parts of the other triangle, the two right triangles are congruent. HL.

upton
Télécharger la présentation

HL Postulate

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

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

  4. A B D C C Leg, right angle, hypotenuse, S A S

  5. Given circle O YO ⊥ YX ZO ⊥ ZX Conclude: YX  ZX Y X O Z • StatementReason • Circle O Given • OY  OZ Radii of circle are congruent (L) • YO ⊥ YX, ZO ⊥ ZX Given • OYX & OZX are rt s ⊥ ⇒ right  () • OX  OX Reflexive (H) • △OYX  △OZX HL (2, 4, 5) • YX  ZX CPCTC

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

More Related