1 / 10

Triangle Congruence: Hypotenuse-Leg Theorem Explanation

Understand the HL Postulate for congruent right triangles with detailed examples and proof steps. Learn how to apply this theorem effectively in geometry. Practice with interactive games.

frances-prince
Download Presentation

Triangle Congruence: Hypotenuse-Leg Theorem Explanation

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. Warm Up

  2. http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431621.htmlhttp://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431621.html

  3. 3.8 HL Postulate 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!

  4. 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

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

  6. Given circle O YO ⊥ YX ZO ⊥ ZX Conclude: YX = ZX Y X O Z • Statement Reason • Circle O Given • OY = OZ Radii of circle are congruent (L) • OX = OX Reflexive (H) • <OYX = <OZX ⊥ ⇒ right < (<) • △OYX = △OZX HL (2, 3, 4) • YX = ZX CPCTC

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

  8. http://www.classzone.com/books/geometry_concepts/page_build2.cfm?id=game&ch=5&CFID=40580573&CFTOKEN=83522164http://www.classzone.com/books/geometry_concepts/page_build2.cfm?id=game&ch=5&CFID=40580573&CFTOKEN=83522164

More Related