Translation & Dilation
Reflection
& Rotation
& Rotation
Distances
Miscellaneous
100
Find the new coordinates of (1, 3) if you translate the point 3 units right and 4 units up.
(4, 7)
100
Find the image of (3, 2) after you reflect the point over the x-axis.
(3, -2)
100
What is the distance between the points (2,4) and (11,4)
9 units
100
In which quadrant is (-4, 5) located?
Quadrant II
200
What are the coordinates of (x,y) after it moves 3 units left and 7 units up.
(x-3, y+7)
200
Write the coordinates of point (x, y) after it is reflected over the y-axis.
(-x, y)
200
A line segment extends from (3, 2) to (-1, 2). What are the coordinates of its midpoint?
(1, 2)
200
In which quadrant are there no positive coordinates?
Quadrant III
300
A transformation takes (x, y) --> (2x, y+2). Are the original figure and the image congruent, similar, neither, or both?
Neither
300
Write the degrees and direction of another rotation that will produce the same result as a 90 degree clockwise rotation.
270 counterclockwise (or similar)
300
What is the distance between the points (1,1) and (4,5)
5
300
If (x, y) is reflected across the x axis and the result is reflected across the y axis, what will be the new coordinates?
(-x, -y)
400
A rectangle is dilated by the rule (x,y) --> (4x, 4y). How many times larger is the area of the new rectangle than the original?
16
400
Triangle ABC has coordinates (1,1), (4,5), and 1,7). It is rotated 90 degrees clockwise. What quadrant is the image in?
Quadrant IV
400
A triangle has these coordinates: A: (9, 3) B: (5, 3) C: (5, 6). What is the perimeter of the triangle?
3 + 4 + 5 = 12
400
True or False: The shape made by (3, 1); (7, 1); (7, 5); and (3, 5) is a square. EXPLAIN HOW YOU KNOW.
True because each side length is 4 and the sides are at right angles
500
A dilation takes (x,y) --> (3x, 3y). What is the scale factor and the center for this dilation?
Scale factor = 3. Center = (0, 0)
500
What are the coordinates of (5, 3) after it is reflected across the line x = 2?
(-1, 3)
500
The line segment connecting (1, 1) and (9, 5) is partitioned into a 3:1 ratio. What are the coordinates of the point of the partition?
(7, 4)
500
Draw triangle LMN on the plane after a translation of 6 units right and 4 units down. L: (-2, 3) M: (0, 2) N: (-2, 0)
