Upload
edgar-merritt
View
214
Download
0
Embed Size (px)
Citation preview
ROCK AND ROLL HALL OF FAMEA glass pyramidal structure covers the interior exhibits. The front surface design of the “glass tent” is an isosceles triangle with a lattice framework.
OBJECTIVES:
1. Understand congruence of figures as a special case of similarity of figures.
2. Know and be able to use the four theorems providing sufficient conditions to prove triangles are congruent (SSS, SAS, AAS, ASA).
OBJECTIVES:
3. Know and be able to use properties of the incenter, circumcenter and centroid of a triangle.
4. Continue to develop the ability to write both synthetic and analytic arguments.
DEFINITIONS:
1. Congruent triangles: Congruent triangles have the same size and shape, regardless of position or orientation.
2. SSS Congruence Theorem: If 3 sides of one triangle are congruent to 3 sides of a second triangle, then the triangles are congruent.
3.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.
4. 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.
4. 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.
5. 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.
6. CPCTC: Corresponding Parts of Congruent Triangles are Congruent.
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.
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.