Congruency
Translation
Rotation
Reflection
100
What does Congruent mean?
Same size, same shape, same angles
100
What is translation?
Slide an image left and right or up and down
100
What is a rotation?
When an image turns around the coordinate grid.
100
What is a reflection? Describe in your own words
A reflection is a mirror image, either across the x-axis or the y-axis
200
Are translations congruent? Why or Why not?
Yes, if you slide a figure it still remains congruent.
200
Does the orientation of the image change for a translation?
No, the image orientation does not change. (It is still facing the same way)
200
If an image is rotated 180 degrees would it remain congruent?
Yes
200
If an image is reflected across the x-axis, does it preserve congruence?
Yes, the image is the same size and the same shape
300
Are reflections congruent? Why or Why not?
Yes, if you flip a figure it still remains congruent.
300
If an image is translated, would it preserve congruence?
Yes, translation does not change the size and shape of the image.
300
Triangle B is rotated 90° clockwise with the origin as the center of rotation to create a new figure. What is the algebraic rule for this transformation?
(x, y) -> (y, -x)
300
When I reflect over the x-axis which coordinate stays the same
The X coordinate (x,-y)
400
Are rotations congruent? Why or why not?
Yes, if you rotate a figure it still remains congruent.
400
A trapezoid was translated 4 units to the left and 5 units up. What is the algebraic rule for this transformation?
(x, y) -> (x - 4, y + 5)
400
What rotations does this represent (x, y)-->(-x, -y)?
180 degree rotation
400
Reflection over the y-axis: (x, y) to (___, ___)
(x, y) ---> (-x, y)
500
What is the difference between congruent and corresponding? Explain.
Congruent means same size, same shape, and same angles. Corresponding means they belong together.
500
What is the algebraic rule for this transformation?
(x, y) -> (x, y - 7)
500
(x, y) -> (-y, x)
90 degrees counterclockwise rotation or 270 degrees clockwise rotation
500
True or false: When a figure is reflected the result is a mirrored image .
True