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
Fully describe in words the transformation (x, y) --> (x+2, y+3)
A translation right 2 and up 3
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 x-axis and then 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
Fully describe the transformation (x, y) --> (-x, y)
A reflection over the y-axis
A transformation takes (x, y) --> (2x, y+2). Are the original figure and the image congruent, similar, neither, or both?
Neither
Rotate the point (2,3) 180 degrees about the origin. What are the coordinates of the image?
(-2, -3)
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)
Fully describe in words the transformation (x, y) --> (3x, 3y)
A dilation with scale factor 3 centered at the origin
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); (8, 1); (8, 5); and (3, 5) is a square. EXPLAIN HOW YOU KNOW.
FALSE. One side length is 8-3 = 5 while the other side length is 5-1 = 4.
Fully describe the transformation (x, y) --> (y, -x)
A rotation of 90 degrees clockwise centered at the origin.