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036B Review for Test- Unit 1

Total questions: 76

Worksheet time: 1hrs 21mins

Name
Class
Date
1.

How could you show that Quadrilateral ABCD is congruent to Quadrilateral A'B'C'D'?

a)

I would demonstrate how this is a rigid transformation by reflecting the figure over the y-axis and then translating it down 1 unit.

b)

I would demonstrate how this is a rigid transformation by rotating the figure counter clockwise about the origin and then translating it right 5 and up 4.

c)

I would demonstrate how this is a rigid transformation by reflecting over the x axis and then over the y axis.

d)

I would demonstrate how this is a rigid transformation by translating it 6 units right, then 1 unit down

2.

How could you show that quadrilateral ABCD is congruent to quadrilateral A'B'C'D'?

a)

I would demonstrate how this is a rigid transformation by translating my figure 7 right and down 2.

b)

I would demonstrate how this is a rigid transformation by rotating the figure 90° clockwise about the origin, and then translating 3 to the right.

c)

I would demonstrate how this is a rigid transformation by reflecting over the x axis and then translating to the right 5 units.

d)

I would demonstrate how this is a rigid transformation by rotating my figure 180° about the origin.

3.

The mathematical term for a slide is........

a)

translation

b)

reflection

c)

rotation

4.

The mathematical term for a flip is.....?

a)

traslation

b)

rotation

c)

reflection

5.

The mathematical term for a turn is......?

a)

translation

b)

rotation

c)

reflection

6.

Which statement describes the move from frame 1 to Frame 2?

a)

Rotate right

b)

Translate up

c)

Reflect vertically

d)

Translate down

7.

Which of these triangles are translations of Triangle A? Select ALL that apply.

a)

B

b)

C

c)

D

d)

E

e)

F

8.

This is an example of which transformation?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

9.

What is it called when you have to make more than one transformation to move a pre-image to an image?

a)

Sequence of Events

b)

Sequence of Transformations

c)

That never happens

d)

Prime Marks

10.

What is the transformation from frame #2 to frame #3?

a)

Rotation 90°90\degree counterclockwise centered on a point on figure

b)

translation down

c)

translation up

d)

Rotation 180°180\degree centered on left conner

11.

What is the transformation from frame #3 to frame #4?

a)

Rotation up

b)

reflection up

c)

translation up

d)

translation down

12.

This figure shows what transformation?

a)

This is a 90°90\degree rotation centered on the common point.

b)

This is a translation upwards

c)

This is a 180°180\degree clockwise rotation

d)

This is a 180°180\degree counterclockwise rotation

13.

Segment AB corresponds to which segment on the right figure?

a)

segment DF

b)

segment FE

c)

segment ED

d)

segment DE

14.

This diagram shows what transformation?

a)

This is a reflection of "A" over line L

b)

This is a rotation of "A" around a point on line L

c)

This is a rotation of "A" around one of the vertices.

d)

This is a translation to the fight and then a rotation of 90°90\degree clockwise.

15.

What type of transformation does this figure show?

a)

This is a reflection over the line

b)

This is a rotation over the line

c)

This is a translation across the line

d)

The line segments don't match so this is not a rigid transformation.

16.

This transformation shows what?

a)

This is a rotation about point "B"

b)

This is a rotation about point "D"

c)

This could be a 180°180\degree rotation around point "B"

d)

This is a reflection of the figure to the right.

17.

This transformation is what?

a)

This is a rotation.

b)

This is a translation.

c)

This is a reflection.

d)

The figures are not the same shape so this is not a rigid transformation.

18.

Select all of the translations that take Triangle T to Triangle U. There may be more than one correct answer.

a)
b)
c)
d)
19.

where does the point (1,2) go when reflected over the

x-axis?

a)

(1,2)

b)

(-1,-2)

c)

(1,-2)

d)

(-1,2)

20.

where does the point (1,2) go when reflected over the

y-axis?

a)

(1,2)

b)

(-1,-2)

c)

(1,-2)

d)

(-1,2)

21.

where does the point (1,2) go when rotated 90 degrees clockwise with center (0,0)?

a)

(2,1)

b)

(-2,-1)

c)

(2,-1)

d)

(-2,1)

22.

One of the triangles pictured is a rotation of triangle ABC  and one of them is a reflection.  Identify the rotation triangle and the center of rotation.

a)

PQR with center at the origin (0,0)

b)

XYZ with center at the origin (0,0)

c)

PQR with center at the vertices "A"

d)

XYZ with center at the vertices "B"

23.

One of the triangles pictured is a rotation of triangle ABC  and one of them is a reflection.  Identify the reflection triangle and the line of reflection.

a)

PQR is ABC reflected over the x axis

b)

XYZ is ABC reflected over the x axis

c)

PQR is ABC reflected over the y axis

d)

XYZ is ABC reflected over the y axis

24.

Here is a grid showing triangle ABC and two other triangles. You can use a rigid transformation to take triangle ABC to one of the other triangles. Which one? How?

a)

Triangle EBD - ABC is reflected on a line at point "B"

b)

Triangle CFG - Translate triangle ABC 7 units right so that "B" matches up with "F". Then rotate 90 degrees clockwise around "F".

c)

Triangle CFG - Rotate triangle ABC 90 degrees counterclockwise around point "C", then rotate 180 degrees around the midpoint of segment CG.

d)

Triangle EBD - Translate triangle ABC up two units.

25.

Here are two line segments. Is it possible to rotate one line segment to the other? If so, find the center of such a rotation.

a)

Yes, it is possible to rotate one of these line segments to the other. This can be done by rotating 180\degree around a point midway between the two lines.

b)

No, is not possible to rotate because the only way to get one line to the other is by a translation up 5 units and then right two units.

26.

Lin says that she can map Polygon A to Polygon B using only reflections. Do you agree with Lin? If so, then how might it be done?

a)

Yes I agree with Lin. Simply reflect "A" over an line between "A" and "B"

b)

Yes I agree with Lin. First Polygon A is reflected over a vertical line that passes the right edge of "A" and the left edge of "B". Then that image is reflected over a horizontal line that passes the through the bottom of "A" and the top of "B". This will give the image of "B".

c)

I do not agree with Lin. These are different sized images and so "A" cannot map to "B".

27.

describe a translation, rotation, or reflection that takes line L to line L'.  Select all correct answers.

a)

Translation down 3 units.

b)

Translation right 7 1/2 units.

c)

Reflection over a line parallel to L halfway between L and L'

d)

Rotation using a point halfway between L and L' as the center of rotation and an angle of 180°180\degree

28.

Points A',B' , and C' are the images of 180-degree rotations of A, B, and C, respectively, around point O. Name a segment whose length is the same as segment AO.

a)

CO

b)

BO

c)

A'O

d)

C'O

29.

Points A',B' , and C' are the images of 180-degree rotations of A, B, and C, respectively, around point O. What is the measure of angle A' O B'?

a)

79°79\degree

b)

35°35\degree

c)

180 - 79 = 101°101\degree

d)

180 - 35 = 145°145\degree

30.

Describe a SINGLE rigid transformation that takes Triangle 1 to Triangle 2.

a)

a 180-degree clockwise rotation using the midpoint of side AC as center

b)

a 180-degree counterclockwise rotation using the midpoint of side AC as center

c)

a 90-degree clockwise rotation around point "A".

31.

What is the measurement of ∠\angle HEF

a)

 115°115\degree  

b)

 110°110\degree  

c)

 117°117\degree  

d)

 120°120\degree  

32.

Lines AC and DF are parallel. What is the measure of  ∠ ABH\angle\ ABH  ?

a)

 34°34\degree  

b)

 146°146\degree  

c)

 45°45\degree  

d)

 33°33\degree  

33.

Name the interior angles in this figure or give the angle measurement.

a)

angles a, b, c and d

b)

angles c, d, e, 60 degrees

c)

angles a, b, f, g

d)

angles e, f, g, 60 degrees

34.

Name all the alternate interior angles in this figure.

a)

angles "d" and "b" also angles "a" and "g"

b)

angles "d" and "a" also angles "b" and "g"

c)

angles "e" and "g" also angles "d" and "f"

35.

What is the measure of  ∠ DBA +b + ∠ CBE\angle\ DBA\ +b\ +\ \angle\ CBE  

a)

 180°180\degree  

b)

 45°45\degree  

c)

 90°90\degree  

36.

What is measure of the missing angle at point "L" ?

a)

85°85\degree

b)

88°88\degree

c)

90°90\degree

37.

Parallelogram ABCD was translated to parallelogram A'B'C'D'.


How many units and in which direction were the x-coordinates of parallelogram ABCD moved?

a)

3 units to the right

b)

3 units to the left

c)

7 units to the right

d)

7 units to the left

38.
a)

a translation across the x-axis

b)

a rotation

c)

a reflection across the x-axis

d)

a dilation

39.

Which type of transformation is represented by the figures in the graph?

a)

reflection and translation

b)

reflection

c)

rotation

d)

dilation and rotation

40.

Which transformation maps the solid figure A onto the dashed figure B?

a)

Rotation 180o about the origin

b)

Translation to the right and down

c)

Reflection across the x-axis

d)

Reflection across the y-axis

41.

This figure depicts the image of rectangle PQRS after a transformation. Which transformation produced the image P'Q'R'S'?

a)

a 1800 counterclockwise rotation about the point (0,0)

b)

a translation of four units to the right

c)

a 900 counterclockwise rotation about the point (0,0)

d)

a reflection over the y-axis

42.

Which of the following describes the transformation from figure A to figure B on the grid?

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation about point (0,0)

d)

translation 6 units right

43.

Karin used a single transformation of trapezoid P to create the image Q on the coordinate plane shown. Which of these describe the transformation that Karin used?

a)

reflection over the x-axis

b)

reflection over the y-axis

c)

translation down

d)

translation up

44.

Lainey drew figure P on a coordinate grid. Then she did a one-step transformation of figure P to draw figure Q as shown. Which of the following one-step transformations of figure P could Lainey have done to draw figure Q?

a)

reflection over the x-axis

b)

reflection over the y-axis

c)

rotation 1800 clockwise

d)

translation to the right

45.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
46.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
47.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
48.
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)
49.
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.
50.
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)
51.

What it the measurement for angle 9?

a)

140o

b)

180o

c)

40o

d)

160o

52.

What it the measurement for angle 12?

a)

140o

b)

180o

c)

40o

d)

160o

53.
If angle 8 is 70 degrees, how many degrees is angle 2?
a)
20 degrees
b)
70 degrees
c)
110 degrees
d)
130 degrees
54.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
55.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
56.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
57.

In the diagram, which of the following statements are true? Select all that apply.

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are alternate interior angles

58.
A line that passes through 2 or more lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
59.
Find the value of x. 
a)
x = 133
b)
x = 47
60.

Are two rectangles with the same side lengths always congruent?

a)

No, if I traced with patty paper, they would not be the same.

b)

No, just because the side lengths are the same doesn't mean that the angles are the same.

c)

Yes, all rectangles have 90° angles. So, if I know that the side lengths and angles are the same, then they must be congruent.

d)

No, if it's turned differently, then they can't be congruent.

61.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
62.
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)
63.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
64.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
65.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
66.
Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
67.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
68.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
69.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
70.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
71.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
72.

What is a Parallel Line?

a)

Lines that Cross

b)

Lines that do not cross

c)

Lines that cross at a 90 degree angle

73.

Which two lines are parallel?

a)

g and h

b)

f and g

c)

j and k

74.

What is the angle measure of AED?

a)

50

b)

100

c)

130

d)

189

75.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
76.
Identify the transformation from ABC to A'B'C'.
a)
Translation
b)
90o clockwise rotation
c)
90o counterclockwise rotation
d)
Reflection across the x-axis

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