Translations
Point A is at (2, 3). It is translated right 4 units and up 2 units. What is the new coordinate?
(6,5)
Reflect point (4, –2) over the x-axis. What is the image?
(4,2)
Rotate point (3, 4) 90° clockwise. What is the image?
(4,-3)
Dilate point (2, 3) by a scale factor of 2 about the origin. What is the image?
(4,6)
Reflect point (5, –3) over the y-axis, then translate up 4 units. What is the final coordinate?
(–5, 1)
Triangle B has a vertex at (–1, 4). It is translated left 3 units. What is the new coordinate?
(-4,4)
Reflect point (–3, 5) over the y-axis. What is the image?
(3,5)
Rotate point (–2, 5) 90° counterclockwise. What is the image?
(-5,-2)
Dilate point (–6, 4) by a scale factor of ½. What is the image?
(-3,2)
Rotate point (2, –1) 180°, then translate right 3 units. What is the final coordinate?
(1,1)
A point moves from (5, –2) to (1, –2). What translation occurred?
Left 4 units.
Reflect point (6, –1) over the line y = x. What is the image?
(-1,6)
Rotate point (6, –1) 180°. What is the image?
(–6, 1)
A point goes from (3, –2) to (9, –6). What is the scale factor?
3
Dilate point (–2, 4) by 2, then reflect over the x-axis. What is the final coordinate?
(-4,-8)
A point is translated by the rule (x – 6, y + 1).
Original point is (8, –3). What is the image of the point?
(2,-2)
A point changes from (–2, 7) to (–2, –7). What reflection occurred?
Reflection over the x-axis
A point changes from (–4, 2) to (2, 4). What rotation occurred?
90° clockwise
After dilation, a point becomes (–8, 10). The scale factor was 2. What was the original point?
(-4,5)
A point is reflected over the x-axis and then rotated 90° counterclockwise. Original point is (3, 2). What is the final coordinate?
(–2, –3)
Square C is translated so that every x-value decreases by 5 and every y-value increases by 7. Write the translation rule.
(x – 5, y + 7)
Triangle D is reflected over the y-axis. What rule describes this reflection?
(–x, y)
What is the rule for a 90° counterclockwise rotation?
(–y, x)
Write the rule for a dilation with scale factor k about the origin.
(kx, ky)
A point ends at (–6, –4) after a 90° clockwise rotation. What was the original point?
(-4,-6)