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Transformations in Geometry Unit 1 review

Total questions: 66

Worksheet time: 3hrs 19mins

Name
Class
Date
1.

Describe the reflection.

a)

Reflect over the x-axis

b)

Reflect over the y-axis

c)

Reflect 180 degrees

d)

Reflect over the origin

2.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

3.

Zach and Naomi are studying geometric transformations. Zach is able to move the triangle AA to  A′A'  using the following sequence of basic transformations:
        1. Reflection across the x-axis.
        2. Reflection across the y-axis.
        3. Translation two units to the right.
Naomi claims that the same three transformations, done in any order will always produce the same result. Zach disagrees. Who is correct?

a)

Zach

b)

Naomi

c)

Both are correct

d)

Both are incorrect

4.

If P is the pre-image and Q the image, select the correct segment that translates P to Q.

a)
b)
c)
d)
5.

Select the correct rotation.

a)

Rotate around the given point 180 degrees.

b)

Rotate around the given point 90 degrees clockwise.

c)

Rotate around the given point 90 degrees counterclockwise.

d)

Rotate around the given point 270 degrees clockwise.

6.

Describe the rotation.

a)

Rotate the figure around the given point 90 degrees counterclockwise.

b)

Rotate the figure around the given point 90 degrees clockwise.

c)

Rotate the figure around the given point 180 degrees.

7.

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

8.

Which of the following BEST describes the transformation?

a)

TRANSLATE 5 units down

b)

REFLECT over the x-axis

c)

ROTATE 90 degrees clockwise

d)

None of these

9.

How do you get from the red triangle to the orange triangle?

a)

reflection over the y-axis and then the x-axis

b)

rotate 270 degrees and reflect over y = 2

c)

reflection over the y-axis and translate up 7

d)

rotate 180 degrees and reflect over y = 2

e)

translate up 7, translate right 6, and then reflect over the x-axis

10.

How do you get from the green triangle to the orange triangle?

a)

rotate clockwise 90 degrees

b)

rotate counterclockwise 180 degrees

c)

translate right 11 and up 9, then translate down 3 and left 2

d)

translate right 12 and up 4

e)

reflect over the y-axis then the x-axis

11.

How do you get from the blue triangle to the red triangle?

a)

reflection over y = 2, translate right 5

b)

rotate 180 degrees

c)

rotate 270 degrees

d)

translate right 5 and reflect over the y-axis

e)

do the cha cha slide

12.

Choose the correct transformations

a)

rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

b)

right 1, down 4, and then reflection over the y-axis

c)

right 6, and then reflection over the x-axis

d)

reflection over the line y=x, and then translate up 4, right 2

13.

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

14.

What is the transformation shown?

a)

Rotation 90 degrees clockwise

b)

Reflection over y= -1

c)

Reflection over x-axis

d)

Reflection over x= -1

15.

Name this transformation

a)

Translation

b)

Rotation

c)

Reflection

16.

Identify the transformation from ABC to A'B'C'.

a)

Reflection across the x-axis

b)

Reflection across the y-axis

c)

90o clockwise rotation

d)

90o counterclockwise rotation

17.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 180 degrees
d)
Rotate 270 degrees CCW
18.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
19.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

20.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

21.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

22.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
23.
What is the definition of rotation?
a)
To move up, down, left, or right.
b)
To flip.
c)
To make a circular movement around a point.
d)
To mirror.
24.
What is the algebraic notation of a figure is Translated 9 units right and 3 units down?
a)
(x, y) --> (x - 9, y + 3)
b)
(x, y) --> (x + 9, y - 3)
c)
(x, y) --> (x + 3, y - 9)
d)
(x, y) --> (9x, 3y)
25.
What is the algebraic notation of a figure is Translated 6 units right and 5 units up?
a)
(x, y) --> (x - 6, y + 5)
b)
(x, y) --> (x + 6, y + 5)
c)
(x, y) --> (x + 5, y - 6)
d)
(x, y) --> (6x, 5y)
26.
The dashed figure is the image of the solid figure.  What is the Algebraic Notation for the Translation?
a)
(x, y) --> (x - 5, y + 4)
b)
(x, y) --> (x + 5, y - 4)
c)
(x, y) --> (x + 4, y + 5)
d)
(x, y) --> (5x, 4y)
27.

What is the definition of a translation?

a)

To slide up, down, left, or right.

b)

To flip.

c)

To make a circular movement around a point.

d)

To mirror.

28.

Is the quadrilateral a parallelogram?

a)

Yes; one pair of opposite sides are parallel

b)

Yes; one pair of opposite sides are congruent

c)

Yes; one pair of opposite sides are parallel and congruent

d)

No; only one pair of sides are parallel

e)

No; only one pair of sides are congruent

29.

Polygon ABCD is a Quadrilateral which of the following pieces of information would prove that ABCD is a parallelogram?

a)

DB=AC

b)

DA=BC

c)

DA||BC

d)

DA||BC, DA=BC

30.
The opposite sides of a parallelogram are congruent.
a)
true
b)
false
c)
maybe
d)
sometimes
31.
Rectangles are not parallelograms.
a)
True
b)
False
32.
All squares are rectangles.
a)
True
b)
False
33.

Which statement best describes a trapezoid?

a)

It is a parallelogram with all sides equal in length.

b)

It is a quadrilateral with three obtuse angles.

c)

It is a quadrilateral with one pair of parallel sides.

d)

It is a triangle with one acute angle.

34.
a)

Trapezoid

b)

Rhombus

c)

Rectangle

d)

Parallelogram

35.
How many lines of symmetry does the picture have? 
a)
0 lines of symmetry
b)
1 line of symmetry
c)
2 lines of symmetry
d)
4 lines of symmetry
36.
How many lines of Symmetry does this hexagon have?
a)
3
b)
6
c)
9
d)
12
37.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

38.
What are the angles of rotation for a square?
a)
multiples of 30
b)
multiples of 45
c)
multiples of 90
d)
multiples of 180
39.
How many lines of symmetry does this shape have?
a)
2
b)
4
c)
6
d)
8
40.
Identify the angles of rotation that maps the image to itself.
a)
multiples of 120°
b)
multiples of 180°
c)
multiples of 90°
d)
multiples of 60°
41.

How many lines of symmetries does the regular polygon have?

a)

1

b)

3

c)

6

d)

7

42.

What is the smallest degree of rotational symmetry?

a)

90°

b)

45°

c)

60°

d)

120°

43.

What is the smallest degree of rotational symmetry?

a)

90°

b)

72°

c)

60°

d)

40°

44.
A trapezoid is a parallelogram.
a)
True
b)
False
45.

Find the value of "c"

a)

c = 8

b)

c = 10

c)

c = √52

d)

c = √20

46.

What is the length of the hypotenuse in the triangle shown?

a)

3

b)

4

c)

5

d)

8

47.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
48.

Find the distance.

a)

7.1

b)

7.8

c)

(6, 4.5)

d)

(2.5, 8)

49.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

50.

What is the distance between point A and point B on the coordinate plane?

a)

5

b)

6

c)

10

d)

14

51.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

52.

What is the slope of this graph?

a)

1/2

b)

2

c)

2/2

d)

2/4

53.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
54.
find the slope
a)
-3
b)
3
c)
1/3
d)
all of the above
55.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
56.
Find the slope
a)
5/2
b)
-5/2
c)
2/5
d)
-2/5
57.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
58.
 Identify the slope and y intercept to write an equation of the line.
a)
y = -1/4x + 2
b)
y = 1/4x + 2
c)
y = -4x + 2
d)
y = 4x - 2
59.

Write the equation of the line in slope-intercept form.

a)

y = (-2/3)x + 4

b)

y = (2/3)x + 4

c)

y = (3/2)x + 4

d)

y = (-3/2)x + 4

60.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
61.
Write the an equation for the graph shown.
a)
y = -2x + 2
b)
y = 2x + 2
c)
y = 1/2x- 2
d)
y = -1/2x + 2
62.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
63.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
64.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
65.

Which is the correct graph for the equation:

y=−13x−5y=-\frac{1}{3}x-5  

a)
b)
c)
d)
66.

Which is the correct graph for the equation:

y=−32x−3y=-\frac{3}{2}x-3  

a)
b)
c)
d)

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