7-3 Notes and answers REVISED Reg...
8
73 Notes and answers REVISED Reg Geo.notebook 1 October 22, 2015 Oct 179:34 PM Prove certain triangles are similar by using AA, SSS, and SAS. Use triangle similarity to solve problems. Objectives Oct 179:34 PM There are several ways to prove certain triangles are similar. The following postulate, as well as the SSS and SAS Similarity Theorems, will be used in proofs just as SSS, SAS, ASA, HL, and AAS were used to prove triangles congruent.
Transcript of 7-3 Notes and answers REVISED Reg...
73 Notes and answers REVISED Reg Geo.notebook
1
October 22, 2015
Oct 179:34 PM
Prove certain triangles are similar by using AA, SSS, and SAS.
Use triangle similarity to solve problems.
Objectives
Oct 179:34 PM
There are several ways to prove certain triangles are similar. The following postulate, as well as the SSS and SAS Similarity Theorems, will be used in proofs just as SSS, SAS, ASA, HL, and AAS were used to prove triangles congruent.
73 Notes and answers REVISED Reg Geo.notebook
2
October 22, 2015
Oct 179:34 PM
Example 1: Using the AA Similarity Postulate
Prove the triangles are similar.
Oct 179:34 PM
Check It Out! Example 1
Prove the trianglesare similar.
73 Notes and answers REVISED Reg Geo.notebook
3
October 22, 2015
Oct 179:34 PM
Oct 179:34 PM
Example 2A: Verifying Triangle Similarity
Verify that the triangles are similar.∆PQR and ∆STU
Therefore ∆PQR ~ ∆STU by SSS ~.
73 Notes and answers REVISED Reg Geo.notebook
4
October 22, 2015
Oct 179:34 PM
Example 2B: Verifying Triangle Similarity
∆DEF and ∆HJKVerify that the triangles are similar.
Therefore ∆DEF ~ ∆HJK by SAS ~.
Oct 179:34 PM
Check It Out! Example 2
Verify that ∆TXU ~ ∆VXW.
Therefore ∆TXU ~ ∆VXW by SAS ~.
73 Notes and answers REVISED Reg Geo.notebook
5
October 22, 2015
Oct 179:34 PM
Example 3: Finding Lengths in Similar Triangles
Prove why ∆ABE ~ ∆ACD, and then find CD.
Oct 179:34 PM
Check It Out! Example 3
Prove why ∆RSV ~ ∆RTU and then find RT.
73 Notes and answers REVISED Reg Geo.notebook
6
October 22, 2015
Oct 1811:26 AM
Oct 179:34 PM
Example 4: Writing Proofs with Similar Triangles
Given: 3UT = 5RT and 3VT = 5ST
Prove: ∆UVT ~ ∆RST
73 Notes and answers REVISED Reg Geo.notebook
7
October 22, 2015
Oct 179:34 PM
Check It Out! Example 4
Oct 179:34 PM
You learned in Chapter 2 that the Reflexive, Symmetric, and Transitive Properties of Equality have corresponding properties of congruence. These properties also hold true for similarity of triangles.
73 Notes and answers REVISED Reg Geo.notebook
8
October 22, 2015
Oct 222:03 PM
Assignment(p. 486) 68, 1618, 23
