Download presentation

Presentation is loading. Please wait.

1
**4.4 – Prove Triangles Congruent by HL**

Geometry Ms. Rinaldi

2
Right Triangles In a right triangle, the sides next to the right angle are called the legs. The side opposite the right angle is called the hypotenuse. hypotenuse leg leg

3
**Hypotenuse-Leg (HL) Congruence Postulate *Only for RIGHT Triangles***

B If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent. If it’s a right triangle, Hypotenuse Leg Then C A S T R

4
**Decide whether the congruence statement is true. **

EXAMPLE 1 Use HL Decide whether the congruence statement is true. Explain your reasoning. A B D C SOLUTION It’s a right triangle (H) (L) So by HL,

5
**Decide whether the congruence statement is true. **

EXAMPLE 2 Use HL Decide whether the congruence statement is true. Explain your reasoning. A C B D SOLUTION It’s a not a right triangle, so HL does not apply. Also, you have an Angle-Side-Side, but ASS is not a congruence postulate, so there is not enough information.

6
EXAMPLE 3 Use HL Decide whether the congruence statement is true. Explain your reasoning.

7
**Decide whether the congruence statement is true. **

EXAMPLE 4 Use HL Decide whether the congruence statement is true. Explain your reasoning. C D F A B E

8
**State the third congruence that must be given to prove that **

EXAMPLE 5 Use HL State the third congruence that must be given to prove that using the indicated postulate. B Given: Angle A and D are right angles. Use the HL Congruence Postulate. A C E F D

Similar presentations

OK

Triangle Similarity Keystone Geometry. 2 Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding.

Triangle Similarity Keystone Geometry. 2 Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on forest society and colonialism free download Ppt on 1857 the first war of independence Ppt on value of pie in math Ppt on power line carrier communication ppt Ppt on obesity prevention jobs Ppt on mass media in india Ppt on credit policy and procedure Ppt on inhabiting other planets found Hrm ppt on recruitment agencies Download ppt on live line maintenance usa