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WorksheetsReflections and Translations in Geometry
Total questions: 27
Worksheet time: 42mins
Name
Class
Date
1.
If you are performing a reflection in the line y=x, the rule is ...
a)
(x, y)
b)
(-x, y)
c)
(x, -y)
d)
(y, x)
2.
Which transformation is NOT a rigid motion (the size changes)?
a)
reflection
b)
rotation
c)
dilation
d)
translation
3.
A __________ is a directed line segment that has both length and direction. It is used when performing translations off the coordinate plane.
a)
vector
b)
rigid motion
c)
magnitude
d)
Gru
4.
A rotation always moves _____________________ unless otherwise stated.
a)
clockwise
b)
counterclockwise
c)
sideways
d)
backwards
5.
What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?
a)
a reflection followed by a rotation
b)
a reflection followed by a translation
c)
a translation followed by a rotation
d)
a translation followed by a reflection
6.
A rigid motion creates figures that are ____________.
a)
congruent
b)
different sizes
c)
similar
d)
larger
7.
The ordered pair (-3, 4) is reflected across the x-axis. What is the new ordered pair?
a)
(-3, -4)
b)
(3, 4)
c)
(3, -4)
d)
(-3, 4)
8.
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)
9.
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
10.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
11.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
12.
If you were to rotate ABCD 270° counterclockwise about the origin, what would the coordinate of C' be?
a)
(1, 6)
b)
(-6, -2)
c)
(3, 3)
d)
(-2, 3)
13.
B(-2, -4)
Reflect over the line y = x
Reflect over the line y = x
a)
(2, -4)
b)
(-4, 2)
c)
(-4, -2)
d)
(4, 2)
14.
How many lines of symmetry does this shape have?
a)
2
b)
4
c)
6
d)
8
15.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
16.
How many of these shapes have EXACTLY ONE line of symmetry?
a)
0
b)
3
c)
6
d)
8
17.
Which shape does NOT have rotational symmetry?
a)
A
b)
B
c)
C
d)
D
18.
What is the order and angle of rotation of the flower?
a)
Order 6, 60 degrees
b)
Order 4, 90 degrees
c)
Order 3, 120 degrees
19.
What is the order of rotation in the recycling symbol?
a)
1
b)
2
c)
3
d)
1,000
20.
What is the magnitude of rotation when the order is 10?
a)
40 degrees
b)
36 degrees
c)
10 degrees
21.
What is the rule for the following reflection?
a)
Reflection across x-axis
b)
Reflection across y-axis
c)
Reflection across y = x
d)
Reflection across y = −x
22.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees around the origin and then translate down.
c)
Reflect across the x-axis and then reflect across the y-axis.
d)
Translate up and then rotate 90 degrees about the origin.
23.
Name the series of transformations that maps ABC onto DEF
a)
reflect over x then translate left 6 up 1
b)
reflect over y then translate down 6 left 1
c)
translate right 6 down 1, then reflect over x
d)
rotate 90 clockwise then reflect over y
24.
What is the sequence of transformations for the image given?
a)
Reflect over the x-axis, translate (x+8,y)
b)
Reflect over the x-axis then translate (x+6, y)
c)
Reflect over the y-axis then (x+1, y+1)
d)
Translate down 4 (y-4) and to the right 5 (x+5)
25.
Which construction is this?
a)
Translation
b)
Rotation
c)
Dilation
d)
Reflection
26.
Which construction is this?
a)
reflection
b)
rotation
c)
translation
d)
none
27.
What is the first step in constructing a translation based on a vector?
a)
Draw a line to the center of roation.
b)
Measure the distance from a vertex to the vectors tip.
c)
Measure the distance from the toe to the tip of the vector.
d)
Draw an arc from a vertex in the direction of the vector.
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