Plotting Points
What are the coordinates at the origin?
(0,0)
If coordinate P (2,1) is translated 3 units up, what are the coordinates of P'?
(2,4)
If coordinate C (9,1) is reflected over the x axis, what are the coordinates of C'?
(9, -1)
What is the word for the lines drawn on a coordinate plane?
axes
The point at (0, 6) is rotated 180o about the origin. What are the coordinates of the image of the point?
(0, -6)
Where does the point (-3, 0) lie?
On the x-axis
If coordinate X (3,5) is translated 2 units down, what are the coordinates of X'?
(3,3)
If coordinate I (8, 7) is reflected over the y axis, what are the coordinates of I'?
(-8, 7)
What is the word for moving a shape without changing its size, shape, or orientation?
translation
Describe the transformation of the algebraic rule below:
(x,y) --> (-x, -y)
It is a 180o rotation around the origin.
Which quadrant would the point (3, 1) lie in?
Quadrant I
If coordinate G (-1, -5) is translated 2 units right and 4 units up, what are the coordinates of G'?
(1, -1)
If coordinate U (4,9) is reflected over the line y=x, what are the coordinates of U'?
(9, 4)
What is the word for flipping a shape over an axis?
Reflection
Which rotation would result in the same image as a rotation 90o counterclockwise about the origin?
90o clockwise about the origin,
270o clockwise about the origin, OR
270o counterclockwise about the origin
270o clockwise rotation
What is the quadrant in which (-2, -3) lies?
Quadrant III
Triangle JKL is translated 10 units left and 1 unit up. What is a rule to describe this translation?
(x-10, y+1) or <-10, 1>
If coordinate V (1,1) is reflected over the Y axis and then translated up 1 unit, what is the new coordinate?
(-1, 0)
What is the original image called?
Preimage
A trapezoid in Quadrant III has been rotated 90o clockwise about the origin. In what quadrant will the trapezoid's image be located?
Which property changes when a figure is reflected across a line?
A side lengths
B angle measures
C perimeter
D orientation
D orientation
A triangle is translated 4 units down and 8 units to the right. Which translation returns it to its original location?
A (x, y) --> (x - 8, y + 4)
B (x, y) --> (x - 4, y + 8)
C (x, y) --> (x + 4, y - 8)
D (x, y) --> (x + 8, y - 4)
A (x, y) --> (x - 8, y + 4)
If coordinate H (5,7) is translated 2 units down and then reflected over the x axis, what are the coordinates of H'?
(5,-5)
What is the transformed shape called?
image
A triangle has vertices at (-2, -2), (-2, -5), and (-4, -5). The triangle is translated 2 units to the right and rotated 270o counterclockwise about the origin. What are the coordinates of its image?
(-2, 0), (-5, 0), (-5, 2)