Geometry 1 lesson 11 fts

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Geometry 1 Lesson 11 FTS.notebook

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October 24, 2016

Geometry 1 Lesson 11

Fundamental Theorem of Similarity (FTS)

Supplemental Practice: Pages 104-105 #1

Do NowExplain why a dilation is not a rigid motion

Antman

Geometry 1 Lesson 11 FTS.notebook

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3. Use the definition of dilation to describe

the lengths along this ray.

1. On the first line of your paper, mark a

point    . We will use this as our center.

From point O, draw a ray OP.  

Mark the point P a few lines down from the center. 

Now, choose a P' farther down the ray, also on one of   the lines of the   notebook paper. For example, you may have placed point P, 3 lines down from the center, and point P', 5 lines down from the center.

2.

Page 101

Geometry 1 Lesson 11 FTS.notebook

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PP'

O

3. Use the definition of dilation to describe

the lengths along this ray.

1. On the first line of your paper, mark a

point . We will use this as our center.

From point O, draw a ray OP.  

Mark the point P a few lines down from the center. 

Now, choose a P' farther down the ray, also on one of   the lines of the   notebook paper. For example, you may have placed point P, 3 lines down from the center, and point P', 5 lines down from the center.

2.

Find the Scale Factor

Geometry 1 Lesson 11 FTS.notebook

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4.

PP'

O

5.

6.

Geometry 1 Lesson 11 FTS.notebook

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6.

4.

5.

PP'

OQ

Q'

Geometry 1 Lesson 11 FTS.notebook

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6.

4.

5.

PP'

OQ

Q'

Geometry 1 Lesson 11 FTS.notebook

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8.

9.

PQ ll P'Q'

P

P'

O

Q

Q'

P

P'

O

Q

Q'

PQ ll P'Q'corresponding angles

Geometry 1 Lesson 11 FTS.notebook

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8.

9.

PQ ll P'Q'

P

P'

O

Q

Q'

P

P'

O

Q

Q'

PQ ll P'Q'corresponding angles

Geometry 1 Lesson 11 FTS.notebook

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Page 101

The lines PQ and P`Q` are parallel and

Geometry 1 Lesson 11 FTS.notebook

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Geometry 1 Lesson 11 FTS.notebook

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Page 102

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Page 102

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Page 103

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Page 106

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Supplemental Practice 104

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Supplemental Practice 105

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