Transformations

Translations

100

Point X is located at (2, 7). It is translated to (2, 5). Which direction did the point move?

down

200

Point A resides at the coordinates (-2, 0). It is translated 4 units right and 1 unit up. What is it's new coordinates?

(2, 1)

300

Rectangle ABCD is drawn on a graph. Line AB is parallel to line CD. Rectangle ABCD is translated 4 units to the right to form A'B'C'D'. Which new side is congruent to side CD?

side C'D'

400

Point R is located at (6, -8). It is translated and now is located at (3, -4). What is the rule for this translation?

(x, y) -> (x-3, y+4)

500

Point Q is located at (-10, 8). It is translated using the following rule: (x, y) -> (x-2, y-3). What are point Q's new coordinates?

(-12, 5)

Reflections

100

What are the coordinates of point A after a reflection across the y-axis?

Point A: (5, -3)

(-5, -3)

200

What are the coordinates of point B after a reflection over the x-axis?

Point B: (2, 9)

(2, -9)

300

Points X and Y are reflections of each other over the x-axis. Point X is located at (-7, 18). Where is point Y?

(-7, -18)

400

What is the coordinate rule for a reflection across the y-axis?

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

500

A piece of paper is 11 inches long. It is reflected across a vertical line. How long is the paper after the reflection?

11 inches

Rotations

100

A tiger on a carousel is 5 feet tall. The carousel rotates about the center. After it stops, how tall is the tiger?

5 feet

200

Equilateral triangle ABC has three 60 degree angles. Triangle ABC is rotated 90 degrees counterclockwise. What are the measures of the new angles?

60 degrees

300

Square HIJK is rotated 90 degrees clockwise to form square LMNO. Which angle is congruent to angle H?

angle L

400

What is the rotation rule for a rotation of 180 degrees clockwise or counterclockwise?

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

500

Point (-4, -4) is rotated counterclockwise around the origin and becomes point (4, -4). What was the angle of rotation?

90 degrees

Mixed

100

True or false: If an object is translated, the side lengths change.

False

200

Point (6, -7) becomes (-6, 7). What transformation occurred?

A 180 degree rotation

300

Triangle ABC is reflected to form triangle DEF. Which angle is congruent to angle B?

Angle E

400

What is the rule for a rotation 90 degrees clockwise about the origin?

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

500

What three things remain the same after a translation, reflection, and/or rotation?

Side lengths, angle measures, and parallel lines