What would you call Q and Q' in the following transformation? Why?
They are invariant points because Q is mapped onto itself.
What is one word each to describe a translation and a reflection?
translation: slide
reflection: flip
What is one word each to describe a rotation and two words to describe a dilation?
rotation: turn
dilation: enlargement/reduction
What is the algebraic representation of a translation that moves a figure 2 units left and 3 units up?
(x − 2, y + 3)
What are the four types of transformations that can be done to figures?
1. translations
2. reflections
3. rotations
4. dilations
Which figure is the image in the following reflection?
Triangle A'B'C' (the blue triangle)
What direction does adding to the x-coordinate move a figure?
To the right!
Describe when a dilation will be a reduction. An enlargement?
reduction: great than 0, less than 1
enlargement: greater than 1
Making both coordinates negative rotates a figure how many degrees?
180°
What rotation is the same as rotating 90° counterclockwise?
270° clockwise
What types of transformations do not change the size of a figure?
translations, reflections, rotations
What coordinate changes when a figure is reflected over the x-axis?
the y-coordinate
What scale factor was used to produce the image dilated about the origin?
scale factor = 1/2
What is the rule for the following translation:
(1,5) → (3,0)
(x + 2, y − 5)
A dilation with a negative scale factor can look like what other transformation?
180° rotation
What is the notation symbol used to differentiate the preimage from the image?
prime
Describe the given transformation:
translation 1 unit right and 2 units down
Describe the following transformation:
rotation 90° clockwise about the origin
What is the rule for the following dilation:
(-2,3) → (-4,6)
(2x, 2y)
What transformations are isometries (do not change shape or size)?
Translations, Reflections, and Rotations
What information do you need in order to complete a rotation?
1. angle of rotation
2. center of rotation
3. direction of rotation
If point K is located at (-2,-4) and it is reflected across the y-axis then reflected across the x-axis, what point would K' have?
(2,4)
If you have point G at (-3,2) and you rotate it 90 degrees clockwise, what would the point G' be?
(2,3)
What rule describes rotating 270° clockwise?
(-y, x)
A y-axis reflection of the word WOW would produce this word.
An x-axis reflection of the word WOW would produce this word.
y-axis: WOW
x-axis: MOM