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WorksheetsRigid Transformations
Total questions: 71
Worksheet time: 2hrs 1mins
Name
Class
Date
1.
A transformation that “turns” a figure about a fixed point at a given angle and a given direction.
a)
rotation
b)
translation
c)
reflection
d)
dilation
2.
A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.
a)
rotation
b)
translation
c)
dilation
d)
reflection
3.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
right 2, down 5
b)
right 2, down 9
c)
left 2, up 9
d)
left 2, down 9
4.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
5 units down and 5 units to the right
b)
5 units down and 1 to the right
c)
8 units down and 5 units to the right
d)
5 units down and 4 units to the right
5.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
6.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
270 counterclockwise
7.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
8.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
270o Counter Clockwise Rotation
270o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
90o Counter Clockwise Rotation
90o Counter Clockwise Rotation
d)
360o Rotation
9.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
10.
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
11.
If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?
a)
(4,0)
b)
(0,4)
c)
(-1,5)
d)
(5,-1)
12.
Point P is graphed at (4,5) shown on the grid below. Point P is 90⁰ counterclockwise to Point P'. What are the coordinates of P'?
a)
(-5, 4)
b)
(-4, 5)
c)
(5, -4)
d)
(-4, -5)
13.
Relfect the image over the y-axis and then translate it 4 to the right and down 3. Which quadrants will the image be located in?
a)
Quadrant I and II
b)
Quadrant II and III
c)
Quadrant III and IV
d)
Quadrant I and IV
14.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
15.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
right two, down five
b)
right two, down 9
c)
left two, down 9
d)
left two, down 5
16.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
17.
Another name for Reflection is...
a)
flip
b)
turn
c)
slide
d)
dilation
18.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
19.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
20.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
21.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
22.
When you translate, you ______ a number to x and y.
a)
Add or subtract
b)
Multiply or divide
c)
Add or multiply
d)
Subtract or divide
23.
When you translate, (x-4 ,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
24.
When you translate, (x, y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
25.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
26.
What is this picture an example of?
a)
Reflection
b)
Translation
c)
Rotation
d)
Dilation
27.
Describe the Transformation
a)
reflection and translation
b)
rotation and translation
c)
reflection and rotation
28.
What transformation is shown?
a)
Reflection
b)
Rotation
c)
Translation
29.
Describe the Transformation
a)
Translation
b)
Reflection
c)
Rotation
30.
Rotating a pre-image _____degrees will place it back to its original position.
a)
180
b)
90
c)
270
d)
360
31.
What Transformation is visible?
a)
Translation
b)
Rotation
c)
Dilation
d)
Reflection
32.
What Transformation is visible?
a)
Reflection
b)
Rotation
c)
Dilation
d)
Translation
33.
What Transformation is visible?
a)
Dilation
b)
Refection
c)
Translation
d)
Rotation
34.
What is the ordered pair for C' if reflected over the y-axis?
a)
(-3, 2)
b)
(3, 2)
c)
(-2, 3)
d)
(3, 0)
35.
True or False?
A rigid motion preserves angles measures but not side lengths of a figure.
A rigid motion preserves angles measures but not side lengths of a figure.
a)
True
b)
False
36.
A transformation that “turns” a figure about a fixed point at a given angle and a given direction.
a)
rotation
b)
translation
c)
reflection
d)
dilation
37.
A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.
a)
rotation
b)
translation
c)
dilation
d)
reflection
38.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
right 2, down 5
b)
right 2, down 9
c)
left 2, up 9
d)
left 2, down 9
39.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
5 units down and 5 units to the right
b)
5 units down and 1 to the right
c)
8 units down and 5 units to the right
d)
5 units down and 4 units to the right
40.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
41.
Which algebraic rule shows how triangle ABC being translated to triangle A'B'C'?
a)
(x, y) --> (x - 3, y + 8)
b)
(x, y) --> (x + 3, y - 8)
c)
(x, y) --> (x - 4, y + 9)
d)
(x, y) --> (x + 4, y - 9)
42.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
270 counterclockwise
43.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
44.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
270o Counter Clockwise Rotation
270o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
90o Counter Clockwise Rotation
90o Counter Clockwise Rotation
d)
360o Rotation
45.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
46.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
47.
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)
48.
Point (-5,2) is reflected over the y axis. Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
49.
Given C(2, 9), under which reflection is C'(2,- 9)?
a)
reflected in the x-axis
b)
reflected in the y-axis
c)
reflected in the line x = 2
d)
reflected in the line y = x
50.
The point that is to be transformed is called the:
a)
Pre-Image
b)
Image
c)
Post-Image
d)
Transformation
51.
After being transformed the new point is called a(n):
a)
Pre-Image
b)
Post Image
c)
Transformed
d)
Image
52.
What would the new point be if you rotated the point (3,-5) 270° clockwise?
a)
a. (-3,-5)
b)
b. (-5,-3)
c)
c. (5,3)
53.
What is the Value of angle A?
a)
∠A=82°
b)
∠A=98°
c)
∠A=180°
d)
∠A=8°
54.
What is the value of angle D?
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
55.
What is the value of angle M?
a)
∠M=47°
b)
∠M=133°
c)
∠M=180°
d)
∠M=33°
56.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
57.
If angle P measures 60 degrees, what is the measure of angle Q?
a)
60 degrees
b)
30 degrees
c)
120 degrees
58.
How many degrees are in a triangle?
a)
90
b)
86
c)
120
d)
180
59.
How many degrees are in a line?
a)
90
b)
70
c)
100
d)
180
60.
a)
A
b)
B
c)
C
d)
D
61.
a)
Figures 1 and 4
b)
Figures 2 and 5
c)
Figures 2 and 3
d)
Figures 3 and 5
62.
a)
4m
b)
5m
c)
3m
d)
4.5m
63.
a)
24 ft
b)
32 ft
c)
20 ft
d)
12 ft
64.
a)
A
b)
C
c)
D
65.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
66.
∠6 & ∠7 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
67.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
68.
Congruent geometric figures have the:
a)
Same size
b)
Sides Equal
c)
Same Size and Same Shape
d)
Angles Equal
69.
Find the measure of the indicated angle.
a)
95
b)
85
c)
35
d)
45
70.
Find the measure of the indicated angle.
a)
26
b)
36
c)
85
d)
144
71.
Are these shapes congruent or not congruent?
a)
congruent
b)
not congruent
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