Download presentation

Presentation is loading. Please wait.

Published byElijah Furniss Modified over 2 years ago

1
3.8 - The HL Postulate By: David Galaydick Mike Pettinato Matt Pettinato

2
What is it? HL stands for hypotenuse leg. It is used for proving right triangles congruent. It can be used to prove something congruent, but it is only treated as a postulate. Only applies to right triangles. No other types.

3
The Postulate T T T The postulate states: “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.” CCCCan also be stated as HL (*corresponding steps*) in proofs.

4
Using the HL Postulate The desired triangles must first be proven as right triangles. (If a triangle contains a right angle, then it is a right triangle.) Hypotenuse – The longest side of a triangle opposite of a right angle. Hypotenuses of each triangle must be proven congruent. Any leg of the two triangles must be proven congruent. Can also be the leg

5
Sample Problem AB C D Problem 1 Given:

6
Sample Problem 2 Problem 2 Given: AH HT AH HM H is the midpoint of MT. A Prove: AHM AHT A M T H Statements Reasons 1.AH HT, AH HM 2. H is the midpoint of MT 3. A 4.

7
Practice Problem 1 G N A R Y L Given: GR AL NA GL RY GL Prove: GNA LYR Statements Reasons

8
Practice Problem 2 P L U G E R S Given: PUG is isosceles w/ base PG UN UL PR EG EL PU RN UG Prove: LE RN N Statements Reasons

9
Video Tutorial

10
Works Cited Rhoad, Richard, George Milauskas, and Robert Whipple. Geometry for Enjoyment and Challenge. Evanston: McDougal Little & Company, 1991. Print. Image from Microsoft clip art

Similar presentations

OK

Proving Triangles Congruent. Steps for Proving Triangles Congruent 1.Mark the Given. 2.Mark … reflexive sides, vertical angles, alternate interior angles,

Proving Triangles Congruent. Steps for Proving Triangles Congruent 1.Mark the Given. 2.Mark … reflexive sides, vertical angles, alternate interior angles,

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on project proposal writing Ppt on water conservation free download Ppt on wireless home security system Ppt on financial system and economic development Ppt on kirchhoff's current and voltage laws Ppt on statistics and probability worksheets Ppt on peak load pricing lecture Ppt on division as equal sharing Ppt on polynomials and coordinate geometry graph Ppt on ideal gas law