Translations
A translation moves a figure without changing its ________
(Hint: three words)
Shape, Size, or Orientation
A rotation moves a figure without changing its __________.
(hint: two words)
Shape or Size
True or False: A reflection changes the size of a figure.
false
A dilation that makes a figure larger is called a __________.
enlargement
A reflection over the x-axis changes (x, y) into this.
(x, -y)
In the translation rule (x, y) → (x + 4, y - 2), how does the figure move?
4 units right and 2 units down
What direction is a 90° clockwise rotation?
One turn to the right
A reflection in math is similar to looking at your face in a _______.
mirror
True or False: A dilation always produces a congruent figure.
False
The rule for dilating a point (x, y) by a scale factor of k is what?
(kx, ky)
Translations are thought of as ______
A slide
What rule describes a 270o counterclockwise rotation?
(x,y) → (y,-x)
What rule represents a reflection over the y-axis?
(x,y) → (-x, y)
The ratio used to determine how much a figure is enlarged or reduced is called the __________.
scale factor
If a point (x, y) is translated 3 units right and 4 units up, what rule describes the transformation?
(x,y) → (x+3, y+4)
A drone flies 4 meters east and 2 meters south. What transformation does this represent?
(x, y) → (x + 4, y - 2)
Where does a point in Quadrant 1 end up when rotated 180° counterclockwise about the origin?
It lands in Quadrant 3
A reflection is also known as a ________.
Flip or Mirror-Image
A dilation with a scale factor between 0 and 1 results in this type of transformation.
Reduction
A 180° rotation follows what rule?
(-x, -y)
The ordered pair (4, -6) is translated 6 units right and 2 units up. What is the new ordered pair?
(10, -4)
Rotate (4,-1) 90° counterclockwise about the origin.
What is the new point?
(1,4)
(-2,7) is reflected over the y-axis. Where is the new point?
(2,7)
A point (3,4) is dilated by a scale factor of 2. What are the new coordinates?
(6,8)
To find the area of a dilated figure multiply the original area by the _____ ______ ______ .
Scale Factor Squared