Translations
Reflections
Rotations
Dilations
Properties/Mixed
100
If you have point (x,y) and you are asked to move the point a units to the right and b units down, what would your new point be?
What is (x + a, y - b)?
100
A composition of two refections can always be combined into one single transformation. How do we know which one?
A double reflection of parallel lines results in one single translation.
A double reflection of intersecting lines results in one single rotation.
100
The direction of a rotation (clockwise, counterclockwise) ______________ affects the outcome of the preimage.
always, sometimes, or never
Sometimes. 180 and -180 will give the same result.
100
How do you know is a dilation will make the figure bigger or smaller?
If the scale factor is less than 1, the figure will get smaller.
If the scale factor is greater than 1, the figure will get larger.
100
These 5 properties are reserved in all isometries.
Betweenness
Angle measures
Distance
Collinearity
Parallelism
200
Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.
What is (7,16)?
200
Find the new coordinates of (3,-2) after you reflect the point over the x-axis.
What is (-3,-2)?
200
Find the new coordinates of (5,4) after you rotate the point with 180º.
What is (4,5)?
200
Find the new coordinates of (3,-2) if you dilate the point with a scale factor of 4.
What is (12,-8)?
200
This transformation does not result in a congruent figure.
What is a dilation?
300
Write the notation of point (x,y) after it moves 3 spots to the left and 7 spots up.
What is (x-3,y+7)?
300
Write the notation of point (x,y) after it is reflected over the line y = -x.
What is (-y,-x)?
300
Write the notation of point (x,y) after it rotates 90º clockwise.
What is (y,-x)?
300
Write the notation of point (x,y) after it is dilated with r=6.
What is (6x,6y)?
300
How does the number of refections performed affect the orentiation of the figure?
An odd number of reflections will change the orientation of the figure, while an even number of reflections will return the figure to its original orientation.
400
Describe the translation for this notation: (x,y) --> (x + 8, y + 4)
What is a translation of 8 units to the right and 4 units up?
400
A picture with one point (-3,4) was reflected over the line y=-1. What should be the new coordinates of the point?
What is (-3, -6)?
400
Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates of vertex R after the rectangle is rotated 90º counterclockwise about the point (2, 0)?
What is (3,4)?
400
Line segment CD was dilated around the origin by a scale factor of 0.5. The endpoints of the image are C' (4,0) and D' (6,2). What are the coordinates of the endpoints of the original line segment?
What is C(8,0) and D(12,4)?
400
Write the following in transformation notation:
rotate a shape 90 degrees clockwise around the origin, then translate it 5 units to the right, reflect it across the x-axis, and finally, dilate it by a factor of 2 centered at the origin
Have student write correct answer on board
500
Graph ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
What is L'(6,-1), M'(12,0), N'(9,5)?
500
Graph rectangle DEFG after a reflection over the line y=x.
D(5,5)
E(5,8)
F(8,8)
G(8,5)
What is D'(5,5), E'(8,5), F'(8,8), G'(5,8)?
500
Graph ∆JKL after a rotation of 180º about the point (-1,1).
J(5,6) K(7,9) L (1,2)
J'(-7, -4) K'(-9, -7) L'(-3, 0)
500
Graph ∆DEF after a dilation with a scale factor of 0.5 about the point (-1,-4):
D(2,-1) E(2,2) F(3,-3)
D'(5, 2) E'(5, 8) F'(7, -2)
500
Transform the parabola by reflecting it on the y-axis and translating it 2 units up. What is the point of the new vertex?
What is (2, -3)?