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Transformation Problems
Transformation Rules
Composition of Transformations
Isometries
Symmetry
100
What are the coordinates of A' if you dilate A(-5,4) with a scale factor of 2.
(-10,8)
100

Write out the rule for translating left 3 and up 2

(x,y)->(x-3,y+2)

100
When we do a problem that involves a composition of transformations, what is the order that we do the transformations?
We do the transformations from right to left.
100
What does it mean for a transformation to be an isometry.
Orientation and Distance are preserved.
100
What does symmetry mean?
Changing a figure so all of the parts and the whole image are congruent.
200

What is the image of point Q after a translation left 4 and up 5 if Q(-1,4)?

Q'(-5,9)

200
What is the rule for a reflection over the y-axis?
Change the sign of the x-coordinate.
200
What happens to the image if you do the following transformation: Rotation of 180° then reflection over the origin.
The image is in the same spot as the pre-image.
200
What transformations are not isometries?
Line reflections and dilations.
200
What are the different kinds of symmetry?
Point symmetry, Line symmetry, and Rotational symmetry.
300
What is the image of F(-6,-3) if you apply a rotation of 270° about the origin?
F'(-3,6)
300
What is the rule for a reflection over the origin?
Change the signs of x and y
300

What is the image of D(-8,4) after the following transformation: Translate 3 left and 6 down then Rotate 270° CW

T''(1,2)

300

Is the following transformation an isometry? Why? R270°

Yes, it keeps the shape the same size.

300
How do you find the number of lines of symmetry?
The number of congruent sides equals the number of lines of symmetry.
400
What is the pre-image if F'(3,-4) is the result of a reflection over y=x?
F(-4,3)
400
What is the rule for a dilation with a scale factor of one half?
Multiply the x and y coordinates by 1/2.
400
What is the pre-image of J''(5,6) if the following transformation was applied: D1/3 ° r y=-x
J(-12,-10)
400
Is the following composition of transformations an isometry? How do you know? D1/2 ° r origin.
Although orientation is preserved, distances are not.
400
How can you find the rotational symmetry of an object?
You take the number of rotations you can do to keep the shape the same and divide 360° by that number. So if there are 5 rotations, it's 360°/5 so it has rotational symmetry of 72°.
500
What transformation occurred if L(-3,2) and L'(3,-2)
r origin or R180°
500

Write the rule for a rotation of 270° about the origin.

(x,y)->(y,-x)

500
Write a composition of transformations in which the order matters. In other words, if you do the composition from left to right you will get a different answer than from right to left. Prove you're correct by showing what happens to a point.
Answers will vary.
500

Determine if the following transformation is an isometry: r x-axis ° D1/2 ° D2 ° r y=x ° r origin ° R270°

Yes, the orientation and distances will remain the same.

500
Describe what point symmetry is.
Point symmetry is an object that has a rotational symmetry of 180°