Translations
Point X is located at (2, 7). It is translated to (2, 5). Which direction did the point move?
down
What are the coordinates of point A after a reflection across the y-axis?
Point A: (5, -3)
(-5, -3)
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
True or false: If an object is translated, the side lengths change.
False
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)
What are the coordinates of point B after a reflection over the x-axis?
Point B: (2, 9)
(2, -9)
60 degrees
Point (6, -7) becomes (-6, 7). What transformation occurred?
A 180 degree rotation
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'
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)
Square HIJK is rotated 90 degrees clockwise to form square LMNO. Which angle is congruent to angle H?
angle L
Triangle ABC is reflected to form triangle DEF. Which angle is congruent to angle B?
Angle E
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)
What is the coordinate rule for a reflection across the y-axis?
(x,y) -> (-x, y)
What is the rotation rule for a rotation of 180 degrees clockwise or counterclockwise?
(x, y) -> (-x, -y)
What is the rule for a rotation 90 degrees clockwise about the origin?
(x, y) -> (y, -x)
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)
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
Point (-4, -4) is rotated counterclockwise around the origin and becomes point (4, -4). What was the angle of rotation?
90 degrees
What three things remain the same after a translation, reflection, and/or rotation?
Side lengths, angle measures, and parallel lines