Dilations - Lloyd
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:
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? ( , )
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?