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X Axis Y Axis Origin Symmetry

Total questions: 20

Worksheet time: 22mins

Name
Class
Date
1.
How many lines of symmetry are in the figure?
a)
0
b)
1
c)
2
d)
3
2.

What series of transformations occurred to the pentagon?

a)

It translated to the right 2 and down 3, then it reflected over the y-axis.

b)

It reflected over the x-axis, then translated left 2 and up 3.

c)

It rotated 90° counter-clockwise about the origin, then reflected over the y-axis.

d)

It reflected over the y-axis, then translated right 4 and up 3.

3.
Describe the transformation.
a)
rotation 90 degrees clockwise about the origin
b)
reflection across the y-axis
c)
rotation 90 degrees counterclockwise about the origin
d)
rotation 180 degrees about the origin
4.
Describe the transformation.
a)
translation: right 4 and up 6
b)
reflection across x=-2
c)
translation right 6 and down 1
d)
reflection across y=-2
5.
Describe the transformation.
a)
translation: right 3 and down 2
b)
felfection across y=-x
c)
rotation 180 degrees about the origin
d)
rotation 90 degrees clockwise about the origin
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.

Identify the correct picture which represents a 90o clockwise rotation about the origin.

a)
b)
c)
d)
8.
Reflect the point (2, -4) over the line y=x.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
9.

Segment AB is reflected across two parallel lines that are 5 cm apart. What is the distance between points A and A"?

a)

5 cm

b)

15 cm

c)

10 cm

d)

Not enough information to tell

10.
What type of symmetry does this shape have?
a)
Only Rotational
b)
Only Line
c)
Both Rotational and Line
d)
Neither Rotational nor Line
11.
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)
12.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
13.
Definition: The figure before a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
14.
What is the sequence of transformations?
a)
Reflect over the y then reflect over the x
b)
Reflect over the x then reflect over the y
c)
Translate 4 units then rotate 90˚
d)
Rotate 90˚ then reflect over the x
15.
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
16.
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)
17.

Isometries, also called rigid transformations, produce ____________ figures.

a)

parallel

b)

perpendicular

c)

congruent

d)

equal

18.

Determine the image of C after it's first translated by the rule

(x, y) → (x − 2, y + 5)

and is then reflected over the y-axis.

a)

(-1, 4)

b)

(1, 4)

c)

(6, -3)

d)

(-3, 6)

19.

Which sequence of transformations will result from shape F to shape F''?

a)

Reflectio over both axes

b)

Refelction, then rotation

c)

Translation, then reflection

d)

Rotation, then translation

20.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate -90 degrees cw around the origin

b)

Rotate 90 degrees cw 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 ccw about the origin.