

Transformation Compositions
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
7 Slides • 13 Questions
1
Compositions of Transformations
2
Multiple Choice
What is translation in geometry?
Moving a shape or object without changing its size, shape, or orientation.
Changing the size of a shape or object without moving it.
Reflecting a shape or object over a line without changing its size or position.
Rotating a shape or object without changing its size or position.
3
Multiple Choice
Which transformation flips a figure over a line?
dilation
rotation
reflection
translation
4
Match
Dilation
Translation
Reflection over x-Axis
Reflection over y-Axis
180° Rotation
(x, y)-->(2x, 2y)
(x, y)-->(x+2, y-2)
(x, y)-->(x, -y)
(x, y)-->(-x, y)
(x, y)-->(-x, -y)
(x, y)-->(2x, 2y)
(x, y)-->(x+2, y-2)
(x, y)-->(x, -y)
(x, y)-->(-x, y)
(x, y)-->(-x, -y)
5
Multiple Choice
Which is the algebraic representation for a rotation 180 degrees clockwise?
(y, x)
(-y, x)
(y, -x)
(-x, -y)
6
Multiple Choice
Which of the following is the algebraic representation for a translation 7 units left and 6 units up?
(x + 7, y - 6)
(x - 7, y + 6)
(x + 6, y - 7)
(x - 6, y + 7)
7
8
9
10
11
12
13
Multiple Choice
If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?
Green Triangle
Blue Triangle
Orange Triangle
Red Triangle
14
Multiple Choice
15
Multiple Choice
16
Multiple Choice
17
Multiple Choice
Use the point P(2, –5). Write the ordered pair for the final location of the given point after completing the transformations in the order listed.
Reflection over the x-axis followed by the rule (x,y) -> (2x, 2y)
P'(4, -10)
P'(-4, -10)
P'(4, 10)
P'(-4, 10)
18
Multiple Choice
What is the ordered pair for the final location of P( 2, 3) after this series of transformations? (x,y)→(x+2, y−4) then reflected over the y−axis?
P′(−4, 1)
P′(−4, −1)
P′(1, −4)
P′(−1, −4)
19
Multiple Choice
What is the ordered pair for the final location of P( -7, 3) after this series of transformations? (x,y)→(x, y+3) then rotated 90° clockwise about the origin.
P′(−7, 6)
P′(−7, −6)
P′(6, −7)
P′(6, 7)
20
Multiple Choice
Compositions of Transformations
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