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Formal Geometry 2016-2017 rose.revilleza@washoeschools.net MrsRevillezaMath.weebly.com

Chapter 7 Pages 454 - 527 Geometry – Glencoe McGraw-Hill (Red Textbook)

7.1: Ratios and Proportions

“I can write ratios.”

“I can write and solve proportions.”

New Vocabulary

Ratio

Extended Ratios

Proportion

=

Means Extremes

Cross products

Cross Product Property

Equivalent Proportions

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1.

2.

3.

4.

5. 6.

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7.1: Ratios and Proportions HOMEWORK Page 460 – 461 # 2, 14, 16, 24, 28, 35 (Write the question & picture (if applicable) to each) You must show you work!

#2 #14

#16 #24

#28 #35

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7.2: Similar Polygons

“I can use proportions to identify similar polygons.”

“I can solve problems using the properties of similar polygons.”

New Vocabulary

Similar Polygons

Corresponding Angles Corresponding Sides

Scale Factor

Theorem 7.1 – Perimeters of Similar Polygons

1. Are these figures similar? If so write the scale factor.

2.

3.

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7.2: Similar Polygons HOMEWORK Page 469 – 470 # 8, 10, 16, 18, 24 (Write the question & picture (if applicable) to each) You must show you work!

#8 #10

#16 #18

#24

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7.3: Similar Triangles (Day 1)

“I can identify similar triangles using the AA Similarity Postulate and the SSS and SAS Similarity Theorems.”

“I can use similar triangles to solve problems.”

New Vocabulary (*Page 478)

Postulate 7.1 Angle-Angle (AA) Similarity

Theorem 7.2 Side-Side-Side (SSS) Similarity

Theorem 7.3 Side-Angle-Side (SAS) Similarity

Theorem 7.4 Properties of Similarity

Identify the similar Triangles. Then find each measure.

1. Find EG and HG

2. Find PS and PR

3. Find WZ and UZ

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7.3: Similar Triangles (Day 1) HOMEWORK Page 480 # 16-21 (Write the question & picture (if applicable) to each) You must show you work!

#16 #17

#18 #19

#20 #21

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7.3: Similar Triangles (Day 2 – Proofs)

“I can identify similar triangles using the AA Similarity Postulate and the SSS and SAS Similarity Theorems.”

“I can use similar triangles to solve problems.”

3 ways to prove triangles are similar

Corresponding Parts of Similar Triangles After proving triangles are similar you can state:

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7.3: Similar Triangles (Day 2) HOMEWORK Write a two-column proof for each of the following.

#1

#2

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7.4: Parallel Lines and Proportional Parts

“I can use proportional parts within triangles.”

“I can use proportional parts with parallel lines.”

New Vocabulary

Theorem 7.5 Triangle Proportionality Theorem

Theorem 7.6 Converse of Triangle Proportionality Theorem

MIDSEGMENT OF A TRIANGLE

Theorem 7.7 Triangle Midsegment Theorem

Corollary 7.1 Proportional Parts of Parallel Lines

Corollary 7.2 Congruent Parts of Parallel Lines

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7.4: Parallel Lines & Proportional Parts HOMEWORK Page 489 – 491 #10, 12, 18, 20, 24, 36 (Write the question & picture (if applicable) to each) You must show you work!

#10 #12

#18 #20

#24 #36

MID CHAPTER QUIZ NEXT CLASS!

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7.5: Parts of Similar Triangles

“I can recognize and use proportional relationships of corresponding angle bisectors, altitudes, and medians of

similar triangles.”

“I can use the Triangle Bisector Theorem.”

New Vocabulary

SPECIAL SEGMENTS OF SIMILAR TRIANGLES

Theorem 7.8

Theorem 7.9

Theorem 7.10

Theorem 7.11 Triangle Angle Bisector

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7.5: Parts of Similar Triangles HOMEWORK Page 499 – 500 # 6, 8, 12, 14, 16 (Write the question & picture (if applicable) to each) You must show you work!

#6 #8

#12 #14

#16

One more section!

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9.6: Dilations

“I can draw dilations.”

“I can draw dilations in the coordinate plane.”

New Vocabulary

Scale Factor

Important Properties of Dilations

Dilations on a Coordinate Plane

Scenario 1: The center of dilation is at the origin, (0,0).

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Scenario 2: The center of dilation is NOT the origin.

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9.6: Dilations HOMEWORK You must show you work!

Dilate the shape from the center of dilation at (2, -8) by a scale factor of 3.