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Transformations Prove-It

Total questions: 8

Worksheet time: 2hrs 0mins

Name
Class
Date
1.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
2.
Which answer shows a reflection across the x-axis?
a)
a
b)
b
c)
c
d)
d
3.

What is the coordinate of J' after being rotated 180 degrees?

a)

(1,1)

b)

(-1 , 1)

c)

(-1 , -1)

d)

(1 , -1)

4.
Triangle RST has vertices R(1, 1), S(1, 4), and   T(3, 1).  Graph the figure and its rotated image after a counterclockwise rotation of 180° about the origin. What are the coordinates of  Tʹ?
a)
(-3, -1)
b)
(-3,-2)
c)
(5,2)
d)
(5,4)
5.
Which algebraic rule will produce a translation that is 5 units to the right?
a)
(x, y)  --> (  x ,  y + 5)
b)
(x, y)  --> (  x-5 ,  y + 5)
c)
(x, y)  --> (  x-2 ,  y + 5)
d)
(x, y)  --> (  x+5 ,  y)
6.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
7.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
8.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis