Translation & Dilation
Find the new coordinates of (1, 3) if you translate the point 3 units right and 4 units up.
(4, 7)
Find the image of (3, 2) after you reflect the point over the x-axis.
(3, -2)
What is the distance between the points (2,4) and (11,4)
9 units
In which quadrant is (-4, 5) located?
Quadrant II
What are the coordinates of (x,y) after it moves 3 units left and 7 units up.
(x-3, y+7)
Write the coordinates of point (x, y) after it is reflected over the y-axis.
(-x, y)
A line segment extends from (3, 2) to (-1, 2). What are the coordinates of its midpoint?
(1, 2)
In which quadrant are there no positive coordinates?
Quadrant III
A transformation takes (x, y) --> (2x, y+2). Are the original figure and the image congruent, similar, neither, or both?
Neither
Write the degrees and direction of another rotation that will produce the same result as a 90 degree clockwise rotation.
270 counterclockwise (or similar)
What is the distance between the points (1,1) and (4,5)
5
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)
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
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
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
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