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Construction and transformation review

Total questions: 62

Worksheet time: 2hrs 9mins

Name
Class
Date
1.

You may use construction tools. This diagram is a straightedge and compass construction. C is the center of both circles. Select all statements that must be true by construction. (2 answers)

a)

Segments AB and AD have the same length.

b)

Segments AC and AD have the same length.

c)

Segments AC and CD have the same length.

d)

Triangle BCE is isosceles.

e)

Triangle CDE is isosceles.

2.

Line CD is the perpendicular bisector of segment AB. The lines intersect at point E. Which of these statements is true?

a)

E is closer to A.

b)

E is closer to B.

c)

E is the same distance from A and B.

d)

There is not enough information to be sure.

3.

A circle is defined as:

a)

A shape with four equal sides

b)

A closed curve where all points are equidistant from a center point

c)

A polygon with three sides

d)

A line segment with two endpoints

4.

Triangle ABC is isosceles. Which tool is used to construct the perpendicular bisector for segment AB?

a)

Protractor

b)

Straightedge and compass

c)

Ruler

d)

Divider

5.

The 3 circles in the diagram have centers A, B, and C. Why do segments AB and AC have the same length?

a)

Because A is not equidistant from B and C.

b)

Because B and C are the same point.

c)

Because the circles are identical.

d)

Because AB and AC are radii of the same circle. Radii is the plural of radius

6.

Classify triangle ABC based on the 3 circles in the diagram with centers A, B, and C.

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Right-angled

7.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
8.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
9.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
10.

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

a)

90o clockwise rotation around the origin

b)

90o counter clockwise rotation around the origin

c)

Reflection across the y-axis

d)

Reflection across the x-axis

11.
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
12.

Describe the transformation shown in the graph.

a)

Reflect over x-axis

b)

Reflect over y-axis

c)

Rotate 270 degrees CCW around the origin

d)

Rotate 90 degress CCW around the origin

13.
After being transformed the new point is called a(n):
a)
Pre-Image
b)
Post Image
c)
Transformed
d)
Image
14.

What are lines of Symmetry

a)

A line of symmetry cuts a picture in half such that each half of the figure is the mirror image of the other half of the figure.

b)

A line that cuts any shape down the middle

c)

Any line that crosses a shape at any point.

d)

A line that a cuts a shape diagonally.

15.

What shape has more than one line of symmetry

a)

A

b)

k

c)

C

d)

O

16.

Does all shapes have a line of symmetry?

a)

Yes

b)

No

17.

Which shape has the most lines of symmetry?

a)
b)
c)
d)
18.

What order of rotation and angle of rotation does the picture have?

a)

Order = 0, 360⁰

b)

Order = 1, 360⁰

c)

Order = 2, 180⁰

d)

Order = 3, 120⁰

19.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
20.
How many lines of Symmetry does this hexagon have?
a)
3
b)
6
c)
9
d)
12
21.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
22.

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

a)

Rotational

b)

Reflectional

c)

Both

d)

Neither

23.
1. Find X 
a)
28
b)
5
c)
55
d)
40
24.
2. Find X
a)
9
b)
27
c)
45
25.
3. Find X
a)
59
b)
31
c)
177
26.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
27.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
28.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
29.
Find what the value of x.
a)
118
b)
108
c)
28
d)
58
30.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
31.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
32.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
33.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
34.
Name a pair of alternate interior angles.
a)
angle 3 & angle 4
b)
angle 5 & angle 6
c)
angle 3 & angle 6
d)
angle 3 & angle 5
35.
If angle 6 is 25 degrees, how many degrees is angle 7?
a)
25 degrees
b)
50 degrees
c)
90 degrees
d)
155 degrees
36.
If angle 1 is 135 degrees, how many degrees is angle 3?
a)
45 degrees
b)
65 degrees
c)
135 degrees
d)
225 degrees
37.
Angles that are exactly 90 degrees are called _____ ______.
a)
tight angles
b)
acute angles
c)
obtuse angles
d)
right angles
38.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
39.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
40.
Find the measure of each angle indicated.
a)
62
b)
53
c)
71
d)
50
41.

The angles inside an equilateral triangle are all ...

a)

20 degrees

b)

50 degrees

c)

60 degrees

d)

45 degrees

42.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
43.

Which image shows the construction of a perpendicular bisector?

a)
b)
c)
d)
44.

Which of the following shows the construction of an angle bisector?

a)
b)
c)
d)
45.

Which of these is a set of perpendicular lines?

a)
b)
c)
d)
46.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
47.

Which figure below has 120 degree rotation symmetry?

a)
b)
c)
d)

None of them

48.

Lines m and n are parallel. Which statement MUST be true?

a)

Angle 1 + Angle 2 = 100

b)

Angle 1 = Angle 6

c)

Angle 5 + Angle 7 = 180

d)

Angle 2 = Angle 8

49.

Select the sequence of transformations that will take Polygon P to Polygon Q.

a)

Rotate 180 degrees about point A.

b)

Translate so that A is taken to J. Then reflect over BA.

c)

Rotate 60 degrees counterclockwise around A, then reflect over FA.

d)

Reflect over line BA, then rotate 60 degrees counterclockwise about point A.

50.

Which figure below has 180 degree rotation symmetry?

a)
b)
c)
d)

None of them

51.

What does congruent mean?

a)

Completely different size and shape

b)

Similar size and shape

c)

Same size and shape

52.

Which diagram shows a dotted line that is not a line of symmetry?

a)
b)
c)
d)
53.

Which pair of angles indicates a corresponding angle relationship?

a)

b)

c)

d)

54.

Which pair of angles indicates an alternate interior angle relationship?

a)

b)

c)

d)

55.

Which pair of angles indicates a vertical angle relationship?

a)

b)

c)

d)

56.

Select all the true statements.

a)

Two rhombuses with the same side lengths are always congruent.

b)

Two rectangles with the same side lengths are always congruent.

c)

Two parallelograms with the same side lengths are always congruent.

d)

Two squares with the same side lengths are always congruent.

57.

Which of these sequences of transformations would not return a shape to its original position? Select your answer.

a)

Reflect over line p, then reflect over line p again.

b)

Rotate 120 counterclockwise around center C, then rotate 220 counterclockwise around C again.

c)

Translate 3 units up, then 3 units down.

d)

Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.

58.

Select all the figures with 180 degree rotation symmetry

a)

Right triangle

b)

Sguare

c)

Regular hexagon

d)

Isosceles triangle

59.

The original object is called

a)

Pre-image

b)

Image

60.

Find the way we could describe the rigid transformation

a)

Reflect across the line segment BC

b)

Rotate around point 𝐵 as the center 𝑑 degrees; then, reflect across line 𝐿𝐵𝐶.

c)

Reflect across the line segment BC then rotate around B as the center d degrees

d)

Rotate 180 degree clockwise around B

61.

Regular hexagon ABCDEF is inscribed in a circle with center H. What is the image of segment AB after a reflection over line BE?

a)

Segment EF

b)

Segment BC

c)

Segment DE

62.

Select all the ways we could describe the rigid transformation that takes AEFB to CFED .

a)

Rotate AEFB 180 degrees clockwise around point G

b)

Reflect AEFB across line FE.

c)

Translate AEFB by the directed line segment from F to E , and then reflect across line FE.

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