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Worksheets

Geometric Relationships

Total questions: 50

Worksheet time: 1hrs 5mins

Name
Class
Date
1.
Define Right Angle
a)
Less than 90
b)
Exactly 90
c)
Greater than 90 and less than 180
d)
Exactly 180
2.
Define Straight
a)
Less than 90
b)
Exactly 90
c)
Greater than 90 and less than 180
d)
Exactly 180
3.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
4.
Find the missing angle.  Find x.
a)
15o
b)
50o
c)
130o
d)
165o
5.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
6.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
7.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
8.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
9.
Which of the following angles can you add together to equal angle d? 
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
10.
Which of the following terms best describes Angle d? 
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
11.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
12.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
13.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
14.
Which statement is the congruence statement for the 2 triangles?
a)
∆EFG ≅ ∆MLF
b)
∆EFG ≅ ∆MFL
c)
∆EGF ≅ ∆FML
d)
∆GEF ≅ ∆FML
15.
Use the congruence statement and figure to find the missing part of the statement
a)
FS
b)
SR
c)
RF
d)
DF
16.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
17.
The triangles are congruent. Which of the following statements must be true?
a)
∠A ≅ ∠D
b)
∠B ≅ ∠E
c)
AB ≅ DE
d)
BC ≅ FD
18.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
19.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
20.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
21.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
22.
What transformation is happening to the red triangle to get to the blue triangle?
a)
Translation
b)
Rotation
c)
Reflection
23.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
24.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
25.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
26.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
27.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
28.
Reflection or Rotation
a)
Reflection
b)
Rotation
29.
Describe the Transformation
a)
Translation
b)
Reflection
c)
Rotation
30.
Turning an Object
a)
Reflection
b)
Rotation
c)
Translation
31.
a)
Reflections
b)
Translations
c)
Reflections and Rotations
d)
Translations and Rotations
32.
Rotation or Reflection
a)
Rotation
b)
Reflection
c)
translation
33.
A dilation produces a similar figure
a)
True
b)
False
34.

A dilation produces a congruent figure

a)

True

b)

False

35.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
36.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
37.
How do you write the algebraic notation when the scale factor is 1/2?
a)
(x, y) goes to (2x, 2y)
b)
(x, y) goes to (1/2x, 1/2y)
c)
(x, y) goes to (-2x, -2y)
d)
(x, y) goes to (2x, 1/2y)
38.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
39.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
40.
Does the image show a dilation?
a)
Yes
b)
No
41.
A dilation is which of the following: 
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
42.
Which of the following is the algebraic representation for a dilation?
a)
(x, y) → (x, 3y)
b)
(x, y) → (3x, 3y)
c)
(x, y) → (x, y - 3)
d)
(x, y) → (.5x, .4y)
43.
What is the letter is a the the ordered pair (0, 3)?
a)
A
b)
M
c)
R
d)
L
44.
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
45.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
46.
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
47.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
48.
What type of rotation does this represent (from red to blue)?
a)
270⁰ clockwise
b)
360⁰
c)
90⁰ counterclockwise
d)
180⁰
49.

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

50.
Triangle D is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D