Translations
What is the image point of (4, 5) after a translation left 5 units and down 3 units?
(-1, 2)
What is another word for reflection?
Flip, mirror
What direction do you rotate if it does not say?
Counter-clockwise
What is a dilation?
An enlargement or reduction of a figure.
What is the only transformation that does NOT produce a congruent figure?
dilation
Describe the translation (x, y) -> (x-2, y+9)
Left two units and up nine units.
What is the image of (5, -7) after a reflection over the x axis?
(5, 7)
Rotate the point (0, 5) 180 degrees.
(0, -5)
What is the image of (-7, 1) after a dilation by a scale factor of 4 centered at the origin?
(-28, 4)
What is the degree of a full rotation?
360
Describe the translation (x, y) -> (x, y-4)
Down 4 units.
What is the image of (-8, -5) after a reflection over the line y = x?
(-5, -8)
What is the image of the point (3, -8) after a rotation of 90 degrees counterclockwise about the origin?
(8, 3)
Dilations produce what type of figures?
Similar.
Provide a real life example of a transformation.
Answers may vary
The image of a point is (6, -2). The translation used was (x, y)-> (x+4, y-1). What was the original point?
(2, -1)
What is the image of (-9, -5) after a reflection over the line y=-x
(5, 9)
What is the image of the point (7, -5) after a rotation of 270 degrees about the origin?
(-5, -7)
The point (.25, 8) is the result of a dilation of 1/4. What is the preimage?
(1, 32)
What is the definition of rotational symmetry?
The amount of times a figure can turn and land on itself.
The image of the point (4, 4) under a translation is (6, 0). Find the coordinates of the image of the point (1, -4) under the same translation.
(3, -8)
Reflect the point (-2, 4) over the y axis, and then reflect it over the line y=-x. What quadrant is the final image in?
3
A pentagon is being rotated. Find the angle of two equal turns of this pentagon.
144
Give an example of what the rule for a dilation would look like.
Answers may vary.
Complete the transformation:
Preimage- (2, 3)
Dilated by a scale factor of 2.
Translated right 5 and down 1.
Reflected over the y axis.
(1, 5)