DO NOW 10.3.17 6 4.5 11 Directions (Part 1): Open your Engage NY Module 3 workbooks to the lined paper between pages S.6 and S.7. On the top line, write today’s date. Draw Triangle ABC and Triangle DEF below on the page. Write down the statements contained in the black boxes. The corresponding angles of similar figures are the same. GIVEN: Triangle DEF was found by applying a scale factor of 2 to Triangle ABC (DILATION SHOWN) Label the side lengths given. Find the missing side lengths. Segments: AB _______ BC _______ AC _______ DE ________ EF ________ DF ________. 6 4.5 11 6 4.5 11

Turn to Page S.7 DIRECTIONS: Follow the prompts that are given. Create a ray from Point O that extends through Point P Create a ray from Point O that extends through Point Q P’ If Segment OP were dilated using a scale factor of 3 to form Segment OP’, draw Point P’ where you think it should be placed. If Segment OQ were dilated using a scale factor of 2 to form Segment OQ’, draw Point Q’ where you think it should be placed. Q’

Turn to Page S.8 DIRECTIONS: Follow the prompts that are given. Follow Vector OP. If OP’ is twice the length of OP, draw Point P’ where you think it belongs. Follow Vector OQ. If OQ’ is triple the length of OQ, draw Point Q’ where you think it belongs.

C’ B’ A’ C’ B’ A’ Turn to Page S.8 Label the following Points on the vectors. C’ B’ A’ Draw vectors along OC, OB, and OA extending as far on the page as you can draw. B’ A’

C’ B’ A’ Turn to Page S.8 What is the length of OC? After the dilation using the scale factor of 3, what is the length of OC’? B’ A’

C’ B’ A’ Turn to Page S.8 What is the length of OB? After the dilation using the scale factor of 3, what is the length of OB’? B’ A’

C’ B’ A’ Turn to Page S.8 What is the length of OA? After the dilation using the scale factor of 3, what is the length of OA’? B’ A’

MODULE 3 LESSON 2 SUMMARY

Turn to Page S.10 Draw Lines to form: Segment OJ Segment OM Segment OL Segment OK Dilate Figure JKLM using the scale factor of ½ Create Point J’ Create Point K’ Create Point L’ Create Point M’

Turn to Page S.11 Dilate ABCDE using a scale factor of 2 with the center O. Draw a vector through the following points: Segment OA Segment OB Segment OC Segment OD Segment OE Dilate Figure ABCDE using the scale factor of 2 Create Point A’ Create Point B’ Create Point C’ Create Point D’ Create Point E’

Turn to Page S.11 Dilate ABCDE using a scale factor of 2 with the center O’. Draw a vector through the following points: Segment O’A Segment O’B Segment O’C Segment O’D Segment O’E Dilate Figure ABCDE using the scale factor of 2 Create Point A’ Create Point B’ Create Point C’ Create Point D’ Create Point E’

Turn to Page S.12 When using a scale factor of ¼, will your dilation produce an enlargement or a reduction? How do you know? Draw a vector through the following points: Segment OA Segment OB Segment OC Dilate Figure ABC using the scale factor of ¼ Create Point A’ Create Point B’ Create Point C’