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Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent. Now: 1. Identify...

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 Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning. a. b.
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7.3 Similar Triangles Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent. Now: 1. Identify similar triangles using the AA Similarity Postulate and the SSS and SAS Similarity Theorems. 2. Use similar triangles to solve problems. http://brettedwards.com/wp-content/uploads/2012/01/ pyramid2.jpg
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Page 1: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

7.3 Similar Triangles Then: You used AAS, SSS, and SAS

Congruence Theorems to prove triangles congruent.

Now: 1. Identify similar triangles using the AA Similarity Postulate and the SSS and SAS Similarity Theorems.

2. Use similar triangles to solve problems.

http://brettedwards.com/wp-content/uploads/2012/01/pyramid2.jpg

Page 2: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Postulate 7.1

Page 3: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Example 1: Use AA Similarity Postulate

Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.

a. b.

Page 4: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Theorems 7.1 & 7.2

Page 5: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Example 2 : Use SSS and SAS Similarity Theorems

Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.

a.

Page 6: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Example 2:b.

Page 7: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Example 3: Sufficient Conditions

Given ΔABC and ΔDEC, which of the following would be sufficient information to prove the triangles are similar?

A. =

B. mA = 2mD

C. =

D. =

Page 8: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Theorem 7.4

A C

B F

E

D

Z

Y

X

Page 9: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Example 4: Parts of Similar Triangles

Identify the similar triangles. Find the measure.a. IU

Page 10: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Example 4: Parts of Similar Triangles

Identify the similar triangles. Find the measure.b. AC

Page 11: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Example 5: Indirect Measurement

SKYSCRAPERS Josh wanted to measure the height of the Sears Tower in Chicago. He used a 12-foot light pole and measured its shadow at 1 p.m. The length of the shadow was 2 feet. Then he measured the length of Sears Tower’s shadow and it was 242 feet at the same time. What is the height of the Sears Tower?

Page 12: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Example 5: Sears Tower

Step 1: To solve set up a proportion using words:

___________________ = ___________________

Step 2: Substitute the values that are known and solve

for the unknown.________= ________

Page 13: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Example 5: Indirect Measurement

LIGHTHOUSES On her trip along the East coast, Jennie stops to look at the tallest lighthouse in the U.S. located at Cape Hatteras, North Carolina.At that particular time of day, Jennie measures her shadow to be 1 foot 6 inches in length and the length of the shadow of the lighthouse to be 53 feet6 inches. Jennie knows that her heightis 5 feet 6 inches. What is the height ofthe Cape Hatteras lighthouse to the nearest foot?

Page 14: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

Example 5: Lighthouse

Step 1: To solve set up a proportion using words:

___________________ = ___________________

Step 2: Substitute the values that are known and solve

for the unknown.________= ________

Page 15: Then: You used AAS, SSS, and SAS Congruence Theorems to prove triangles congruent.  Now: 1. Identify similar triangles using the AA Similarity Postulate.

7.3 Assignment:p. 483-487 #9-16 all, 18-22 evens,

28-34 evens,40, 46, 50, 52#28 – proof on handout#30 – graph on handout


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