DO NOW 10.9.17 ? 20 ft Directions (Part 1): Directions (Part 2): Open your Engage NY Module 3 workbooks to the line paper between pages S.25 and S.26. On the top line, write today’s date. A person standing 20 feet away from a street light casts a shadow as shown in the picture. The triangles shown are SIMILAR. How many times taller is the street light than the person? Draw the two figures in the foreground (person + shadow and street light on the page. Label any given information. Interpret any information that is given, but not yet labeled in the picture. What information is unknown? ? 20 ft Directions (Part 2):  The height of the street light is ______ feet.

Turn to Page S.21 FUNDAMENTAL THEOREM OF SIMILARITY What information do you currently know that is stated or shown in the picture below?

O Stay on Page S.21 PROMPTS: Which points / segments are the pre-image (original figure) and which are the image (new figure)? Which direction is each vector traveling? Where do you think the center of dilation began? HINT: not at P or Q Is the original Segment PQ enlarged or reduced in size?

A’ Turn to Page S.22 PROMPTS: What are the coordinates for Point A? A ( , ) How can you use the coordinates to help dilate a figure with a scale factor? What does it mean when the scale factor is r = 4 ?

A’ A’’ Turn to Page S.23 PROMPTS: CHANGE YOUR DIRECTIONS TO READ AS FOLLOWS: ½ (Label as A’) and ¼ (Label as A’’) PROMPTS: What are the coordinates for Point A? A ( , ) How can you use the coordinates to help dilate a figure with a scale factor? What does it mean when the scale factor is r = ½ ? What does it mean when the scale factor is r = ¼ ? A’ A’’

53 3 153 1 A’ Turn to Page S.24 PROMPTS: Wrong Turn to Page S.24 PROMPTS: What are the coordinates for Point A? A ( , ) How can you use the coordinates to help dilate a figure with a scale factor? What does it mean when the scale factor is r = 5/3 ? A’ 53 3 153 1

A’ B’ A’ ( 4 ½ , 3 ½ ) B’ ( 2 ¼ , 1 ¼ ) Turn to Page S.25 PROMPTS: What are the coordinates for Point A and Point B? A ( , ) B ( , ) How can you use the coordinates to help dilate a figure with a scale factor? What does it mean when the scale factor is r = ½ ? What does it mean when the scale factor is r = ¼ ? A’ B’ A’ ( 4 ½ , 3 ½ ) B’ ( 2 ¼ , 1 ¼ )

Turn to Page S.26 A (7 , 9)  A’ ( , ) x 6 x 6

Stay on Page S.26

A ( , )  A’ ( , ) B ( , )  B’ ( , ) C ( , )  C’ ( , ) Turn to Page S.27 ½ A ( , )  A’ ( , ) B ( , )  B’ ( , ) C ( , )  C’ ( , )

Turn to Page S.28

Turn to Page S.29

Turn to Page S.30 ½

½ Turn to Page S.31

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