Transformations Task III – Clockwise Rotations
Part A
Name ______________________________
We will be looking at rotations of figures and how they work. A rotation
is a transformation that turns a figure about a fixed point for a given
angle, called the angle of rotation and a given direction. The angle of
rotation is the amount of rotation about a fixed point or point of
rotation. Rotations can be performed in a clockwise or counterclockwise
direction.
In the following activity ALL of the rotations will be performed in the
CLOCKWISE direction about the point of origin.
1.
Explain in your own words what the sentence above means.
2.
Draw a Rectangle using the coordinate pairs A(2,3), B(7,3), C(2,6),
D(7,6). Be sure to label each vertex with the correct letter and
connect the points.
Record the coordinates of each vertex in the column that is
labeled 0°.
Now you are ready to perform you first rotation. Rotate the
transparency 90° clockwise and record the coordinates of the vertices
for new figure in the column labeled 90°.
Rotate the transparency back to the original position.
From the original figure rotate the transparency 180° clockwise and
record the coordinates of the vertices for new figure in the
column labeled 180°.
Rotate the transparency back to the original position.
From the original figure rotate the transparency 270° clockwise and
record the coordinates of the vertices for new figure in the column
labeled 270°.
Rotate the transparency back to original position.
From the original figure rotate the transparency 360° and record the
coordinates of the vertices for new figure in the column labeled
360°.
Using the coordinates from your table draw each new figure on the
graph provided. Be sure to label each vertex(A,B,C,D) along with the
appropriate prime marks.
3.
4.
5.
6.
7.
8.
9.
10.
11.
CLOCKWISE
ROTATIONS RECORD TABLE
Triangle
0°
90°
180°
270°
360°
Vertices Rotation Rotation Rotation Rotation Rotation
A
B
C
D
12.
Describe what pattern you notice in how the coordinates changed when
the figure was rotated from 0° to 90°.
13.
Describe what pattern you notice in how the coordinates changed when
the figure was rotated from 0° to 180°.
14.
Describe what pattern you notice in how the coordinates changed when
the figure was rotated from 0° to 270°.
15.
Describe what pattern you notice in how the coordinates changed when
the figure was rotated from 0° to 360°.
16.
Did the size of the shape change after any of the rotations? Explain
why or why not.
17.
Will the patterns that you found hold true for any figure?
18.
Will the patterns hold true if you start in a different quadrant?
In the work we just completed the figure started in quadrant I of the
Cartesian Graph. The figure below is in quadrant II.
19.
Without using the transparency, test the pattern found in the table
and rotate the original figure 90° clockwise. Draw the new figure on
the graph and record the new ordered pairs.
20.
Without using the transparency, test the pattern found in the table
and rotate the original figure 180° clockwise. Draw the new figure on
the graph and record the new ordered pairs.
21.
Now use the transparency and graph to check your work.
pattern hold?
Did the