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Practice - Grid Rigid Transformations
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Practice Page
Directions: Read carefully.

1.
Rectangle ABCD becomes rectangle A'B'C'D' under a translation of 2 units to the left and 4 units down.
a) What are the coordinates of A' ?
Choose:
(-2,-4)
 (-4,0)
(-4,-2) (-4,-6)

b) What is the value of B'C' ?
Choose:
3 units
4 units
2 units
6 units
refgraph1

 

 

2.
Seven line segments are shown on the graph below. Which of the segments listed could be the image of AB after a sequence of reflections, translations, and/or rotations?
(Check all that apply, and hit SUBMIT!)
 

CD

EF

GH

IJ

KL

MN

        

grid5

 

 

3.
ΔABC is shown at the right.
ΔA'B'C' is formed after a rotation 90º counterclockwise about the origin. ΔA''B''C'' is formed after ΔA'B'C' is reflected across the x-axis.
What are the signs of coordinates (x,y) of A'' ?
Choose:
Both x and y are positive.
x is positive, y is negative.
x is negative, y is positive.
Both x and y are negative.
grid4

 

 

4.
The horizontal lines shown on the graph are parallel. Which transformation will show that ∠1 is congruent to ∠2 ?

Choose:
reflect ∠1 over the x-axis
translate ∠1 up and right
rotate∠1 180º about (0,0)
translate ∠1 down and left
grid2

 

 

5.
Trapezoid ABCD has coordinates
A(-4,5), B(-2,4), C(-2,2) and D(-4,1). After a translation, the image of vertex C is (4,-2). What are the coordinates of the image of vertex D?
Choose:
(2,-4)
(4, 0)
(2, 1)
(2,-3)
grid7

 

 

6.
The Bolt Soda Company is designing a logo. They start with the figure shown in the third quadrant. They then add the rotation of this figure 90º clockwise about the origin to the design.

What does the new design look like?
grid8
  Choose:

grid8a

grid8b

grid8c

grid8d

 

 

7.
Pentagon A is congruent to pentagon B. Which series of transformations can be used to verify this congruence?
Use pentagon A as the pre-image.
 
grid3
  Choose:
rotate 90º clockwise, then reflect over x-axis
reflect over x-axis, then reflect over y-axis
rotate 90º clockwise, then translate 4 down
reflect over x-axis, then translate 4 right

 

 

8.
Triangle A is congruent to triangle B. Which of the following transformations cannot transform triangle A to triangle B?
 
yellowCCW
  Choose:
reflection in the x-axis, then reflection in the y-axis
180º counterclockwise rotation about the origin
reflection in the y-axis, then a translation down of 5 units
180º clockwise rotation about the origin

 

 

9.
Rectangle ABCD is congruent to rectangle QRST. Which transformation(s) to ABCD show it is congruent to QRST ?
 Choose:
translate up 6 units and right 1 unit
translate left one unit, then reflect over the x-axis
translate: (x, y) → (x - 1, y - 6)
translate down 2 units and left 1 unit, then reflect over x-axis
lettermatch

 

 

10.
Triangles A, B and C are congruent.
 
grid6
  a) Which sequence of transformations could verify that triangle A is congruent to triangle B?
Choose:
reflect over x-axis, then translate 3 units right
reflect over x-axis, then translate 3 units left
rotate 180º counterclockwise about origin, then translate 2 units left
rotate 90º counterclockwise about origin, then translate 2 units left
 
b) Which sequence of transformations could verify that triangle A is congruent to triangle C?
Choose:
rotate 180º clockwise about origin, then translate 3 down
rotate 90º counterclockwise about origin, then translate 7 down
rotate 180º counterclockwise about origin, then translate 2 units up
rotate 90º clockwise about origin, then translate 3 units left



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