Dilations - Lloyd

Author:Kathryn Lloyd, chrysthanium, Edward Knote, PEREZGS

Directions:

-Do the following on a paper or Google Doc. -For problems 8 - 11, you can sketch or take a Screenshot. -ATTACH YOUR PHOTO, Screenshots, Google Doc In this lesson: Notice what happens to the coordinates (x, y) when you Dilate by a scale factor > 1. Notice what happens to the coordinates (x, y) when you Dilate by a scale factor < 1.

1) Given the graph:

a) Use the slider to set Red Scale Factor = 3 What happened? Did we enlarge or shrink? b) Write the coordinates of POINT C of the PRE-IMAGE and the POINT C' of the IMAGE . C( , ) and C'( , ) c) What happened to the coordinates? What is the Algebra rule? ( , ) d) Use the slider to set Green Scale Factor = 4 What happened? Did we enlarge or shrink? e)Write the coordinates of POINT C of the PRE-IMAGE and the POINT C' of the IMAGE. C( , ) and C''( , ) f) What happened to the coordinates? What is the Algebra rule? ( , )

2) Given the graph:

a) Use the slider to set Red Scale Factor = 2 What happened? Did we enlarge or shrink? b) Write the coordinates of POINT C of the PRE-IMAGE and the POINT C' of the IMAGE. C( , ) and C'( , ) c) What happened to the coordinates? What is the Algebra rule? ( , ) d) Use the slider to set Green Scale Factor = .5 What happened? Did we enlarge or shrink? ( .5 = ¹/₂) e)Write the coordinates of POINT C of the PRE-IMAGE and the POINT C' of the IMAGE. C( , ) and C''( , ) f) What happened to the coordinates? What is the Algebra rule? ( , )

3) Given the graph:

a) Write the coordinates of the vertices of the PRE-IMAGE. A( , ) B( , ) b) Click the [ ] About the Origin box and use the slider to set a = 2. c) What happened? Did we enlarge or shrink? d) Write the coordinates of the vertices of the IMAGE. A'( , ) B'( , ) e) What happened to the coordinates? What is the Algebra rule? ( , ) f) Now use the slider to set a = 3 g) What happened? Did we enlarge or shrink? h) Write the coordinates of the vertices of the IMAGE. A'( , ) B'( , ) i) What happened to the coordinates? What is the Algebra rule? ( , )

4) Given the graph:

a) Write the coordinates of the vertices of the PRE-IMAGE. A( , ) B( , ) b) Click the [ ] About the Origin box and use the slider to set a = .5 ( . 5 = ¹/₂ ) c) What happened? Did we enlarge or shrink? d) Write the coordinates of the vertices of the IMAGE. A'( , ) B'( , ) e) What happened to the coordinates? What is the Algebra rule? ( , ) f) Now use the slider to set a = .25 ( .25 = ¹/₄ ) g) What happened? Did we enlarge or shrink? h) Write the coordinates of the vertices of the IMAGE. A'( , ) B'( , ) i) What happened to the coordinates? What is the Algebra rule? ( , )

6) Given the graph:

a) Look at the PRE-IMAGE and the IMAGE. In this Dilation did we enlarge or shrink? b) Write the coordinates of the vertices of the PRE-IMAGE A( , ) B( , ) C( , ) c) Write the coordinates of the vertices of the IMAGE.. A'( , ) B'( , ) C'( , ) d) What happened to the coordinates? What is the Scale Factor? e) What is the Algebra Rule? ( , )

7) Given the graph:

8) Given the graph:

a) Write the coordinates of the vertices of the PRE-IMAGE. A( , ) B( , ) C( , ) b) Dilate the Image by a Scale Factor given in the Algebra Rule: ( 2x, 2y ) -Use the Polygon tool or Point and Segment tools or sketch on your paper. c) Write the coordinates of the vertices of the IMAGE. A'( , ) B'( , ) C'( , ) d) What happened to the coordinates?

9) Given the graph:

a) Write the coordinates of the vertices of the PRE-IMAGE. A( , ) B( , ) C( , ) b) Dilate the Image by a Scale Factor given in the Algebra rule: ( ½x, ½y ) -Use the Polygon tool or Point and Segment tools or sketch on your paper. c) Write the coordinates of the vertices of the IMAGE. A'( , ) B'( , ) C'( , ) d) What happened to the coordinates?

10) Summary:

a) After performing a Dilation, was the PRE-IMAGE ≅ IMAGE? b) Are Dilations Rigid or NonRigid Transformations? c) What happens to the coordinates (x, y) when you Dilate by a Scale Factor > 1? d) What happens to the coordinates (x, y) when you Dilate by a Scale Factor < 1?