Congruent or Not Congruent?
Translation
Rotation
Reflection
Algebraic Rules
100
What does the word 'Congruent' mean?
Same Size, Same Shape, Same Angles
100
What is a 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
100
(x,y) -> (-x,-y)
180 degree rotation.
200
If you rotate a figure 90 degrees counterclockwise, does the figure remain congruent?
Yes, the figure 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
200
(x,y) -> (x, -y)
Reflection across the x-axis.
300
If a figure is translated 5 units to the left and 3 units up, does the figure remain congruent?
Yes, the figure 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)
300
(x,y) -> (x-3,y+2)
Translating 3 units to the left and 2 units up.
400
If Angle A measures to 80 degrees, what does Angle A' measure to? Explain why?
80 degrees, because A and A' correspond to each other.
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)
400
(x,y) -> (y,-x)
90 degree clockwise rotation.
500
Which transformations preserve congruence?
Translations, Reflections, and Rotations.
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
500
(x,y) -> (x,y)
360 degree rotation.