Download presentation
Presentation is loading. Please wait.
1
REASONING WITH CONGRUENT TRIANGLES: LESSON 16
2
ROCK AND ROLL HALL OF FAME
A glass pyramidal structure covers the interior exhibits. The front surface design of the “glass tent” is an isosceles triangle with a lattice framework.
3
OBJECTIVES: Understand congruence of figures as a special case of similarity of figures. Know and be able to use the four theorems providing sufficient conditions to prove triangles are congruent (SSS, SAS, AAS, ASA).
4
OBJECTIVES: Know and be able to use properties of the incenter, circumcenter and centroid of a triangle. Continue to develop the ability to write both synthetic and analytic arguments.
5
DEFINITIONS: Congruent triangles: Congruent triangles have the same size and shape, regardless of position or orientation.
6
SSS Congruence Theorem: If 3 sides of one triangle are congruent to 3 sides of a second triangle, then the triangles are congruent.
7
SAS Congruence Theorem: If 2 sides and the included angle of one triangle are congruent to the corresponding sides and included angle of a second triangle, then the triangles are congruent.
8
ASA Congruence Theorem: If 2 angles and the included side of one triangle are congruent to the corresponding angles and included side of a second triangle, then the triangles are congruent.
9
AAS Congruence Theorem: If 2 angles and a nonincluded side of one triangle are congruent to the corresponding 2 angles and nonincluded side of a second triangle, then the triangles are congruent.
10
HL Congruence Theorem: If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the 2 triangles are congruent. CPCTC: Corresponding Parts of Congruent Triangles are Congruent.
11
Let’s look at some examples of the SSS, SAS, ASA,AAS and HL Congruence Theorems: Pull out the notes that were given to you and let’s start with the Side-Side-Side Triangle Congruence Theorem.
12
Since you have seen the notes and the examples, let’s work out some problems together!! Pull out your worksheet on Similarity and Congruence from Unit 3 – Page 28 and Using Congruent Triangles: CPCTC from Practice 4-4.
13
Homework 6.1-More Congruent Triangles Worksheet
You may work in groups!!
Similar presentations
© 2024 SlidePlayer.com Inc.
All rights reserved.