Rotations - Lloyd
Class Work:
Write the following assignment a piece of paper. Share your answers with me.
In this lesson:
Notice what happens to the coordinates (x, y) when you rotate 180°.
Notice what happens to the coordinates (x, y) when you rotate clockwise 90°.
Notice what happens to the coordinates (x, y) when you rotate counterclockwise 90°.
1) Given the graph:
a) Write the coordinates of the vertices of the PreImage.
A( , ) B( , ) C( , )
b) Click the [ ] Show image box and use the green slider to set the rotation = 180° degrees.
c) Write the coordinates of the vertices of the Image.
A'( , ) B'( , ) C'( , )
d) What happened to the coordinates? What is the Algebra rule? ( , )
2) Given the graph:
a) Write the coordinates of the vertices of the PreImage.
A( , ) B( , ) C( , )
b) Click the [ ] Show image box and use the green slider to set the rotation = 90° degrees.
Was it rotated clockwise or counterclockwise?
c) Write the coordinates of the vertices of the Image.
A( ' , ) B'( , ) C'( , )
d) What happened to the coordinates? What is the Algebra rule? ( , )
3) Given the graph:
a) Write the coordinates of the vertices of the PreImage.
A( , ) B( , ) C( , )
b) Click the [ ] Show image box and move the green slider all the way to the right.
The first Image is 90° counterclockwise. The second Image is 180°. The third Image is 90° clockwise.
(Be sure to use the third Image which is in the 4th quadrant.)
c) Write the coordinates of the vertices of the third Image.
A( ' , ) B'( , ) C'( , )
d) What happened to the coordinates? What is the Algebra rule? ( , )
4) Given the graph:
a) Name the coordinates of the vertices of the PreImage.
A( , ) B( , ) C( , )
b) Rotate the figure 180° and name the coordinates of the vertices of the Image.
A'( , ) B'( , ) C'( , )
c) Sketch the graph on your paper.
5) Given the graph:
a) Name the coordinates of the of the vertices PreImage.
A( , ) B( , ) C( , )
b) Rotate the figure 90° clockwise and name the coordinates of the vertices of the Image.
A'( , ) B'( , ) C'( , )
c) Sketch the graph on your paper.
6) Given the graph:
a) Name the coordinates of the vertices of the PreImage.
A( , ) B( , ) C( , ) D( , )
b) Rotate the figure 90° counterclockwise and name the coordinates of the vertices of the Image.
A'( , ) B'( , ) C'( , ) D'( , )
c) Sketch the graph on your paper.
7) This is graph has multiple problems.
In the top right corner of the graph, there is a new problem button. Click it to create different triangles.
a) Use the new problem button to pick a point and write it's coordinates A.
A( , )
b) Click the [ ] 90° counterclockwise box which gives you the A' coordinate. Name point.
A'( , )
c) What Algebra rule do you use to rotate 90° counterclockwise? ( , )
d) Click the [ ] 180° box which gives you the A' coordinate. Name point.
A'( , )
e) What Algebra rule do you use to rotate 180°? ( , )
f) Click the [ ] 90° clockwise box which gives you the A' coordinate. Name point.
A'( , )
e) What Algebra rule do you use to rotate 90°clockwise? ( , )
7) This is graph has multiple problems.
In the top right corner of the graph, there is a new problem button. Click it to create different triangles.
a) Use the new problem button to pick a triangle and write it's coordinates ABC.
A( , ) B( , ) C( , )
b) Click the 90° counterclockwise box which gives you the A' coordinate. Name the missing points.
B'( , ) and C'( , )
b) Click the 180° box which gives you the A' coordinate. Name the missing points.
B'( , ) and C'( , )
b) Click the 90° clockwise box which gives you the A' coordinate. Name the missing points.
B'( , ) and C'( , )
8) This is graph has multiple problems.
In the top right corner of the graph, there is a new problem button. Click it to create different triangles.
a) Use the new problem button to pick a triangle and write it's coordinates ABC.
A( , ) B( , ) C( , )
b) Click the 90° counterclockwise box which gives you the A' coordinate. Name the missing points.
B'( , ) and C'( , )
b) Click the 180° box which gives you the A' coordinate. Name the missing points.
B'( , ) and C'( , )
b) Click the 90° clockwise box which gives you the A' coordinate. Name the missing points.
B'( , ) and C'( , )
10) This is graph has multiple problems.
In the top right corner of the graph, there is a new problem button. Click it to create different triangles.
a) Use the new problem button to pick a triangle and write it's coordinates ABC.
A( , ) B( , ) C( , )
b) Click the 90° counterclockwise box which gives you the A' coordinate. Name the missing points.
B'( , ) and C'( , )
b) Click the 180° box which gives you the A' coordinate. Name the missing points.
B'( , ) and C'( , )
b) Click the 90° clockwise box which gives you the A' coordinate. Name the missing points.
B'( , ) and C'( , )
11) Summary:
a) After performing a Rotation, was the PreImage ≅ Image?
b) Are Rotations Rigid or NonRigid Transformations?
c) What happens to the coordinates (x, y) when you Rotate 180°?
d) What happens to the coordinates (x, y) when you Rotate 90° clockwise?
e) What happens to the coordinates (x, y) when you Rotate 90° counterclockwise?