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Rigid Motions Transformations Review
Test Description: Translations, reflections, rotations
Instructions: Answer all questions to get your test result.
1) what is a translation?
A
flip
B
same shape
C
turn
D
slide
2) What is rotational symmetry
A
a shape that has even sides
B
Symmetry that looks the same after a number of rotations
C
something that is not symmetrical
D
a symmetrical circle
3) The point P (-5, -10) is rotated 180° about the origin. What are the coordinates of P'?
A
(5, -10)
B
(-10, -5)
C
(10, 5)
D
(5, 10)
4) Square ABCD has vertices, A (-2,2), B(2,2), C (2,-2), D (-2,-2), What would be the coordinates of point C with a reflection across the X-axis?
A
(1, 1)
B
(-2, 2)
C
(2 ,2)
D
(1, 2)
5) How many lines of symmetry does a square have?
A
3
B
8
C
4
D
2
6) A regular pentagon has ______ lines of symmetry?
A
6 lines of symmetry
B
5 lines of symmetry
C
4 lines of symmetry
D
2 lines of symmetry
7) A transformation in which the figure is moved such that ever point is equidistant from the pre-image
A
Translation
B
Reflection
C
Rotation
D
Dilation
8) A transformation is described by f(x, y) = (-y, x). What would be the preimage of (6, -2)?
A
(-6, -2)
B
(-2, -6)
C
(-6, 2)
D
(2, -6)
Helpful Hint
Rotations are counterclockwise if not otherwise stated!
9) What is the image of (2,4) after it has been rotated 90 degrees about the origin?
A
(4,2)
B
(-4,2)
C
(-2,4)
D
(4,-2)
10) If A(-3,-6) is transformed to create A'(-6,-3), which is the rule that was used?
A
Rotation of 180 degrees
B
Reflection over the y-axis
C
Reflection over the line y=x
D
Rotation of 90 degrees clockwise
11) Which of the following does NOT create an isometry?
A
rotation of 75 degrees about the origin
B
translation 8 spaces left and two spaces up
C
enlargement with a scale factor of 2
D
reflection over y=x
12) Write a rule to describe the transformation shown.
A
reflection across the line y=2
B
translation 4 units down
C
180 degree rotation about the origin
D
90 degree counterclockwise rotation about the origin
13) Reflection over the y-axis:
A
the y value changes to its opposite, the x value stays the same.
B
the x value changes to its opposite, the y value stays the same.
C
neither value changes.
D
both x and y values change to their opposites.
14) Write a rule to describe the transformation shown.
A
reflection across the y-axis
B
reflection across x=-1
C
reflection across y=x
D
reflection across y=-1
Helpful Hint
360/n = angle
15) What is the order of rotational symmetry, and angle of rotation, for the recycling symbol shown?
A
six; 60 degrees
B
three; 120 degrees
C
two; 180 degrees
D
three; 60 degrees
16) Write a rule to describe the transformation from H(-5,-1), I(-4,3), J(0,0) to H'(-4,-2), I'(-3,2), J'(1,-1).
A
(x,y) reflects to (y,x) then rotates 90 degress
B
(x,y) rotates to (-y,x) then translates up one unit
C
(x,y) translates to (x+1,y-1)
D
(x,y) translates to (x,y-2)
17) How many lines of symmetry does a regular dodecagon have?
A
6
B
10
C
12
D
20
18) Identify the center of the rotation that maps ABC onto A'B'C'.
A
W
B
Z
C
Y
D
X
19) Find Q''' if point Q is reflected over the x-axis, then rotated 90 degrees, and then translated right 3 up 4.
A
(-3,-1)
B
(4,1)
C
(-3,1)
D
(4,-1)
20) What type of symmetry does this image have?
A
Only line symmetry
B
None
C
Only rotational symmetry
D
Both rotational and line symmetry
*select an answer for all questions
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