Translations
Reflectons
Rotations
Multi-step Transformatoins
Congruence and Coordinates
100
Describe the transformation:
(x, y) --> (x + 3, y - 5)
Translate 3 units to the right and 5 units down.
100
Name the line of reflection
x-axis
100
Describe this rotation, using direction, angle and center.
Rotate 90 degrees clockwise about the origin.
100
If the blue point located at (3, -4) was reflected over the y-axis and translated up 2 units, what would be the coordinates of the image?
(-3, -2)
100
If triangle ABC is congruent to triangle ZYX, Which line segment is congruent to CB?
XY
200
What is the translation notation for a figure that is shifted to the left 8 units and up 2 units?
(x, y)--> (x - 8, y + 2)
200
If the image was reflected over the y-axis, what would be the coordinates for X'? X is at (-1,4)
(1, 4)
200
What is the effect of rotating a figure 180 degrees?
(x, y)-->
(-x, -y)
200
If the blue point located at (3, -4) was reflected over the x-axis and then rotated 180 degrees around the origin, what would be the coordinates of the image?
(-3, -4)
200
Trapezoid MATH is congruent to Trapezoid ROCK. Angle C is congruent to which angle?
Angle T
300
Point x is at (5, -2). What is the new point after applying the transformation
(x, y)-->(x - 7, y - 8)?
(-2, -10)
300
What effect does reflecting over the x-axis have on the image?
(x, y) -->
(x, -y)
300
Point P is located at (3, -2). If the figure is rotated 90 degrees clockwise about point the origin, what would be the coordinate of P'?
(-2, -3)
300
Triangle ABC has been transformed to A"B"C".
Step 1 is to rotate 90 degrees CW around the origin. What is step 2?
Reflect over the y-axis.
300
IF point P (-2, -4) is rotated 180 degrees around the origin, what are the coordinates of P'?
(2,4)
400
Point X is at (-1, 4). Where would X' be after applying the following translation:
(x, y)--> (x - 3, y - 2)?
(-4, 2)
400
Reflecting the point (0,-7) over the y-axis would result in the image having what coordinate?
(0, -7)
400
If the figure is rotated 180 degrees about the origin, what would be the coordinate for R'?
R is located at (6, -4).
(-6, 4)
400
ABCD has been transformed to A'B'C'D'. If step 1 is to translate 6 units to the right, what was step 2?
Reflect over the x-axis.
400
Starting with the point (-4, 5),
Translate (x,y)--> (x - 3, y - 7).
Then reflect over the x-axis
What are the new coordinates?
(-7, 2)
500
In what quadrant will the point (7, 2) land after applying the following transformation:
(x, y)--> (x, y - 7)
Quadrant IV (4)
500
What is the equation for the line of reflection?
x = -2
500
A 270 degree CCW rotation around the origin will land in the same place as which other rotation?
90 degree CW rotation around the origin
500
If you translate triangle TUV (x, y)--> (x - 3, y + 4), then reflect the image over the x-axis, what will be the coordinates of U'? U is located at (2, 1)
(-1, -5)
500
Starting with the point (-7, -9),
Reflect over the y-axis.
Then rotate 90 degrees CW around the origin.
What are the new coordinates?
(-9,-7)