Transformations
A translation, or sliding motion, is determined by distance and direction.
Below is a flag ABCDE and its translated image ABC DE .
a)
Describe the translation.
b.
Under this translation, what would be the image of the following points.
c.
Write a rule you can use to obtain the image of any (x, y) in the coordinate plane
under this translation. State your rule in words and in symbolic form.
Below is a flag ABCDE and its translated image ABC DE .
a.
Describe the vertical translation as precisely as you can.
b.
Under this translation, what would be the image of the following points.
c.
Write a rule you can use to obtain the image of any (x, y) in the coordinate plane
under this translation. State your rule in words and in symbolic form.
Below is a flag ABCDE and its translated image ABC DE .
a.
Describe the oblique translation as precisely as you can.
b.
Under this translation, what would be the image of the following points.
c.
Write a rule you can use to obtain the image of any (x, y) in the coordinate plane
under this translation. State your rule in words and in symbolic form.
Consider flag ABCDE above and its image under a 90  counterclockwise rotation about
the origin.
a.
Complete the table above for 90  counterclockwise rotation about the origin.
b.
The points (-2, 5), (-4, -1), and (5, -3) are plotted below . Find their images under
a 90  counterclockwise rotation about the origin.
c.
Write a rule relating the coordinates of any preimage point (x, y) and its image
point under a 90  counterclockwise rotation about the origin. State your rule in
words and in symbolic form.
Consider flag ABCDE above and its image under a 180  counterclockwise rotation about
the origin.
a.
Complete the table above for 180  counterclockwise rotation about the origin.
b.
The points (-2, -5), (-4, -1), and (5, -3) are plotted below . Find their images
under a 180  counterclockwise rotation about the origin.
c.
Write a rule relating the coordinates of any preimage point (x, y) and its image
point under a 180  counterclockwise rotation about the origin. State your rule in
words and in symbolic form.
Consider flag ABCDE above and its image under a 270 counterclockwise rotation about
the origin.
a.
Complete the table above for 270 counterclockwise rotation about the origin.
b.
The points (-2, -5), (-4, -1), and (5, -3) are plotted below . Find their images
under a 270 counterclockwise rotation about the origin.
c.
Write a rule relating the coordinates of any preimage point (x, y) and its image
point under a 270 counterclockwise rotation about the origin. State your rule in
words and in symbolic form.
A flag ABCDE and its reflected image across the y-axis are shown.
a)
Investigate patterns in the coordinates of the pre-image and image pairs when
points are reflected across the y-axis. List the coordinates of the pre-image
(ABCDE) and the Reflected Image( ABC DE ) in the table above
b)
Write a rule which tells how take any point (x, y) and find its reflected image
across the y-axis. State your rule in words and in symbols.
9.
The table below shows coordinates of six pre-image points and coordinates (a,b)
of a general point. Record the coordinates of the image in the table for a
reflection over the x-axis.
b)
Write a rule which tells how take any point (x, y) and find its reflected image
across the x-axis. State your rule in words and in symbols.
10.
Record the coordinates of the image in the table below for a reflection across the
line y = x.
b)
Write a rule which tells how take any point (x, y) and find its reflected image
across the line y = x. State your rule in words and in symbols.
11.
Record the coordinates of the image in the table below for a reflection across the
line y = -x.
b)
Write a rule which tells how take any point (x, y) and find its reflected image
across the line y = -x. State your rule in words and in symbols.