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Geometry Semester 1

Total questions: 100

Worksheet time: 17hrs 40mins

Name
Class
Date
1.
Why is a Triangle called an Acute Triangle?
a)
It has 3 acute angles
b)
It has 2 acute angles
c)
It has 1 acute angle
d)
It has 0 acute angles
2.
Which is the measurement of an obtuse angle?
a)
90
b)
20
c)
130
d)
180
3.

Solve using the Triangle Sum Theorem

a)

x=12

b)

x=6

c)

x=11

d)

x=13

4.

Classify the triangle!

a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
5.
What is the missing angle?
a)
61
b)
50
c)
60
d)
69
6.
Why is a Triangle called an Obtuse Triangle?
a)
It has 0 obtuse angles
b)
It has 1 obtuse angle
c)
It has 2 obtuse angles
d)
It has 3 obtuse angles
7.

Find the missing angle.

a)

55

b)

35

c)

45

d)

135

8.

How are the triangles congruent, if they even are?

a)

They aren't

b)

SAS

c)

SSA

d)

HL

9.

How are the triangles congruent, if they even are?

a)

SAS

b)

They aren't

c)

AAS

d)

ASA

10.

Write the equation of the line parallel to y = 4x + 3 and passing through the point (-4, -5)

a)

y = -1/4x - 6

b)

y = -1/4x + 8

c)

y = 4x - 2

d)

y = 4x + 11

11.

Which of the following is a counterexample of the conjecture below.

Conjecture: If a number is divisible by 6 and 2, then it is divisible by 12.

a)

12

b)

36

c)

42

d)

48

12.

Find the inverse of the statement, “We can’t go swimming if there is a lightning storm”.

a)

If we can go swimming, then there is no lightning storm.

b)

If there is a lightning storm, then we can’t go swimming.

c)

If we can’t go swimming, then there is a lightning storm.

d)

If there is not a lightning storm, then we can go swimming.

13.

Describe the translation of point A(2, 1) to point A'(5, 3).

a)

(x, y) - (x – 3, y + 2)

b)

(x, y) - (x – 3, y – 2)

c)

(x, y) - (x + 3, y + 2)

d)

(x, y) - (x + 3, y – 2)

14.
a)

9

b)

52

c)

28

d)

15

15.
a)

2/3

b)

4/5

c)

3/2

d)

5/4

16.
RS is the segment bisector.  If OQ = 32 and PO = 4x, what does x equal?
a)
8
b)
28
c)
128
d)
36
17.
D is the midpoint of EF.
ED = 4x + 6
DF = 7x -9
 Find EF.
a)
5
b)
26
c)
52
d)
22
18.
Find the value of ∠A.
a)
25°
b)
30°
c)
35°
d)
90°
19.
Solve for x
a)
x = 8
b)
x = 6
c)
x = 4
d)
x = 2
20.
What type of angles are they?
a)
VERTICAL
b)
ALTERNATE INTERIOR
c)
ALTERNATE EXTERIOR
d)
CORRESPONDING
21.
WHAT IS THE VALUE OF X?
a)
16
b)
11.4
c)
0 
d)
-16
22.
WHAT TYPE OF ANGLES ARE THEY?
a)
ALTERNATE INTERIOR
b)
SAME SIDE
c)
CONSECUTIVE
d)
CORRESPONDING
23.
WHAT IS THE VALUE OF X? 
a)
-7
b)
9.4
c)
7
d)
-9.4
24.

What it the measurement for angle 1?

a)

140o

b)

180o

c)

40o

d)

160o

25.
Find y.
a)
130
b)
50
26.
Find x.
a)
80
b)
100
27.
How are the triangles congruent?
a)
AAS
b)
SAS
c)
ASA
d)
SSS
28.
How are the triangles congruent?
a)
SAS
b)
SSS
c)
AAS
d)
HL
29.
How are the triangles congruent?
a)
HL
b)
SAS
c)
ASA
d)
AAS
30.

If two triangles are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

31.

If two triangles are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

32.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
33.

Complete each proportion.

AB / AM = ? / AD

a)

BC

b)

AC

c)

MD

d)

MC

34.

What is the scale factor from ΔABC to ΔDEF?

a)

1/2

b)

7/3

c)

2

d)

10/3

35.

What is the scale factor from ΔABC to ΔXYZ?

a)

1.25

b)

1.5

c)

2

d)

2.5

36.

What is the scale factor from ΔABC to ΔHGF?

a)

1/9=.111

b)

1/6=.167

c)

1/4=.25

d)

6

37.

If the two triangles are similar, what is the measurement of x?

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

38.

If the two triangles are similar, what is the measurement of x?

a)

3

b)

1.5

c)

8

d)

2/3=0.667

39.

The two given triangles are similar, what is the value of the missing side?

a)

5

b)

7

c)

9

d)

11

40.

If the two triangles are similar, what is the measurement of x?

a)

16

b)

18

c)

2.4

d)

15

41.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
42.

Translations, rotations, and reflections are three different types of what?

a)

Transformations

b)

Geometry

c)

Vectors

d)

Shapes

43.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

44.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

45.

A flip is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

46.

Congruent means...

a)

The same angles.

b)

The same size and same shape.

c)

Equal to.

d)

The same transformation.

47.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

48.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

49.

The result of a transformation.

a)

Pre-image

b)

Image

50.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

51.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

52.

The mathematical term for the line that you reflect a shape over is the...

a)

Mirror

b)

Reflective tape

c)

Line that you reflect over

d)

Line of reflection

53.

After a figure has been transformed, we call the new figure the...

a)

Image

b)

Different shape

c)

Figure that moved

d)

Prime

54.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
55.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

linear pair

c)

corresponding angles

d)

vertical angles

56.
In the diagram, which of the following statements are false?
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 corresponding angles
57.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
58.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
59.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
60.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
61.
A line that passes through 2 or more lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
62.
a)

a = 140

b)

b = 140

c)

c = 140

d)

d = 140

63.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
64.
What is the value of y?
a)
29
b)
119
c)
58
65.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
66.
What is a line segment?
a)
Part of a line with 2 endpoints
b)
Part of a line that has 1 endpoint
c)
Part of a line with 0 endpoints
d)
Part of a line with 5 endpoints
67.
What is a ray?
a)
Part of a line with 2 endpoints
b)
Part of a line with 1 end point and goes on forever 
c)
Part of a line with 0 endpoints
d)
Part of a line with 5 endpoints
68.
What is a line?
a)
a straight path of points that goes on and on in two directions
b)
an endless flat surface
c)
an exact location in space
d)
lines that never intersect
69.
What type of line does the picture represent?
a)
Parallel 
b)
Intersecting
c)
Perpendicular
70.
What is this?
a)
Ray
b)
Point
c)
Line
d)
Line segment
71.
What is this?
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
72.
What type of line is pictured?
a)
perpendicular
b)
parallel
c)
intersecting
73.

___________ are lines that lie in the same plane

a)

Coplanar Lines

b)

Line Segment

c)

Collinear Points

d)

Intersection

74.

Points on the same line are __________ points

a)

Coplanar

b)

Coordinate

c)

Conjecture

d)

Collinear

75.

This geometric object has no dimension and is represented as a single dot in space

a)

point

b)

line

c)

plane

d)

ray

76.

Formed by two rays that share a common end point

a)

Angle

b)

Opposite Rays

c)

Congruent

d)

Line

77.

Two angles that add to be 90 degrees

a)

Supplementary

b)

Complementary

c)

Angles

d)

Right Angle

78.

Two angles that add to be 180 degrees

a)

Supplementary

b)

Complementary

c)

Angles

d)

Straight Line

79.

The symbol ⊥ is used for which of the following notations?

a)

Parallel Lines

b)

Perpendicular lines

c)

Congruency

d)

Opposite Rays

80.
the exact middle point
a)
midpoint
b)
segment
c)
congruent
d)
angle
81.
Which of the following is NOT a correct way to describe this plane?
a)
plane ABC
b)
plane CBA
c)
plane BAC
d)
plane A
82.
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.
83.

A segment, ray, line or plane that intersects a segment at its midpoint.

a)

point

b)

segment

c)

segment bisector

d)

perpendicular lines

84.

A ray that divides an angle into two congruent adjacent angles.

a)

vertex

b)

line

c)

angle bisector

d)

midpoint

85.

If two angles of a triangle are 70 degrees each, what is one way it can be classified?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

86.

In an ISOSCELES triangle, at least how many angles are congruent?

a)

none

b)

two

c)

three

d)

not enough information to tell

87.

Each angle in an EQUILATERAL triangle is ______ degrees

a)

50

b)

45

c)

60

d)

90

88.

All 3 angles in a triangle have a sum (add up to) how many degrees?

a)

180

b)

90

c)

360

d)

150

89.

An ISOSCELES triangle has at least how many equal sides?

a)

2 sides

b)

No sides

c)

3 sides

90.

How many equal sides does a SCALENE triangle have?

a)

3 sides equal

b)

No sides equal

c)

2 sides equal

91.

What kind (or kinds) of angles are these:

a)

Adjacent

b)

Complementary

c)

Supplementary

d)

Vertical

92.

What kind (or kinds) of angles are these:

a)

Adjacent

b)

Complementary

c)

Supplementary

d)

Vertical

93.
A segment that connects the center of a circle with a point on the circle.
a)
tangent
b)
secant
c)
diameter
d)
radius
94.
A segment connecting two points on a circle that passes through the center.
a)
diameter
b)
radius
c)
secant
d)
tangent
95.
A segment that connects two points on a circle; may or may not pass through the center of the circle.
a)
tangent
b)
secant
c)
chord
d)
diameter
96.
a line segment that runs from the vertex of a triangle to the opposite side and intersects the opposite side at a 90 degree angle
a)
altitude
b)
median
c)
centroid
d)
angle
97.

The CENTROID is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

98.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

99.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

100.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

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