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First Quarter Review

Total questions: 58

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

If angle DCA is 125 degrees, what is the measure of angle DCB?

a)

50 degrees

b)

60 degrees

c)

55 degrees

d)

65 degrees

2.

What is a part of a line that includes two points called endpoints?

a)

Ray

b)

Line

c)

Point

d)

Line segment

3.

What is a line with one end point that goes on and on forever in one direction called?

a)

Line segment

b)

Ray

c)

Point

d)

Parallel lines

4.

What are lines that intersect to form a right angle called?

a)

Interesecting lines

b)

Line segment

c)

Perpendicular lines

d)

Lines

5.

Two parallel lines intersect.

a)

True

b)

False

6.
What angle has a measure between 0 and 90 degrees? 
a)
Straight Angle
b)
Vertical Angle
c)
Acute Angle
d)
Obtuse Angle
7.
What do you call the common endpoint of two rays? 
a)
Angle
b)
Segment
c)
Ray
d)
Vertex 
8.
What do you call a flat surface that extends without end and has not thickness? 
a)
Skew
b)
Point
c)
Plane
d)
Line
9.
What angle has a measure between 90 and 180 degrees?
a)
Obtuse Angle
b)
Acute Angle
c)
Vertical Angle
d)
Straight Angle
10.
What is the best term to describe this image?
a)
intersecting lines
b)
perpendicular lines
c)
parallel lines
d)
arrows
11.
What type of angle is this? 
a)
obtuse
b)
acute
c)
right
d)
cute
12.
What do we call a collection of points that extends indefinitely in two directions? 
a)
a point
b)
a line
c)
a ray
d)
a plane
13.
Which word describes line segment AD and line segment EH?
a)
parallel
b)
perpendicular
c)
skew
14.
Which word describes line segment AB and line segment DH?
a)
parallel
b)
perpendicular
c)
skew
15.
Which word describes line segment BC and line segment CG?
a)
parallel
b)
perpendicular
c)
skew
16.
Points that lie on the same line
a)
Coplanar points
b)
Noncollinear points
c)
Collinear points
d)
Noncoplanar points
17.
Two angles whose measures have the sum 90°
a)
Complementary angles
b)
Right angle
c)
Supplementary angles
d)
Adjacent angles
18.
Angles that have the same measure
a)
Complementary angles
b)
Supplementary angles
c)
Adjacent angles
d)
Congruent angles
19.
Points that lie in the same plane
a)
Coplanar points
b)
Collinear points
c)
Noncollinear points
d)
Noncoplana points
20.
If GH = 8 and HI = 17, Find GI
a)
8
b)
9
c)
24
d)
25
21.
Given that A is between B and C, which Segment Addition statement is correct?
a)
AB + BC = AC
b)
BC + BA = BC
c)
AB + AC = BC
d)
AB + BC = AC
22.
Use the figure to write and solve an equation for x.
a)
5
b)
6
c)
7
d)
8
23.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

24.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle.

a)

m∠1 = 110° and m∠2 = 70°

b)

m∠1 = 109° and m∠2 = 71°

c)

m∠1 = 70° and m∠2 = 110°

d)

m∠1 = 71° and m∠2 = 109°

25.
What is another name for ∠H
a)
∠KGH
b)
∠LGH
c)
∠LHG
d)
∠K
26.
Find the value of ∠A.
a)
25 degrees
b)
30  degrees
c)
35 degrees
d)
90 degrees
27.
Angles with a sum of 180°
a)
complementary
b)
supplementary
28.

 BD\overrightarrow{BD}  bisects ABC\angle ABC  mABD=3x+5m\angle ABD=3x+5  and  mABC=2x+30m\angle ABC=2x+30 . Find  mDBCm\angle DBC  . 

a)

 15°15\degree  

b)

 35°35\degree  

c)

 5°5\degree  

d)

 20°20\degree  

29.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
30.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90o counter clockwise rotation

31.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
32.

How is the blue triangle rotated to the red triangle?

a)

90 clockwise

b)

90 counterclockwise

c)

180 clockwise

d)

180 counterclockwise

33.

Identify the transformation performed

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

34.
Triangle C is rotated 180° 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
35.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
36.

Translated figures are always __________________.

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

37.

A reflection ____________________.

a)

turns a figure around a point.

b)

slides an object form one place to another.

c)

flips or mirrors an object across a line.

d)

changes the size of an object.

38.

A transformation that “turns” a figure about a fixed point is a _____________________.

a)

rotation

b)

translation

c)

reflection

d)

dilation

39.

Write the converse of
 If 3x = 15, then x = 5. If\ 3x\ =\ 15,\ then\ x\ =\ 5.\   

a)

 If x 5, then 3x 15.If\ x\ \ne5,\ then\ 3x\ \ne15. 

b)

 If x = 5, then 2x = 10.If\ x\ =\ 5,\ then\ 2x\ =\ 10.  

c)

 If  3x 15, then x5.If\ \ 3x\ \ne15,\ then\ x\ne5. 

d)

 If x = 5, then 3x = 15. If\ x\ =\ 5,\ then\ 3x\ =\ 15.\   

40.

Write the converse of the following statement.

"If a figure is a triangle, then the angles add to 180.

a)

If a figure is not a triangle, then the angles do not add to 180.

b)

If the angles of a figure do not add to 180, then it is not a triangle.

c)

If a figure has angles that add to 180, then it is a triangle.

41.

Rewrite the statement as a conditional statement.

"All dolphins are mammals."

a)

If a dolphin, then a mammal.

b)

If an animal is a dolphin, then it is a mammal.

c)

If an animal is a mammal, then it is a dolphin.

d)

If an animal is not a mammal, then it is not a dolphin.

42.

Write a definition of congruent angles as a biconditional statement.

a)

Angles are congruent if they have the same size and shape.

b)

If angles are congruent, then they have the same size and shape.

c)

Congruent angles are the same.

d)

Angles are congruent if and only if they have the same size and shape.

43.
This symbol, ↔, means?
a)
and
b)
or 
c)
if and only if
d)
implies
44.
Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.
a)
Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars
b)
Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend
c)
Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life
d)
Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends
45.
p→q
What is the converse?
a)
q→p
b)
∼p→∼q
c)
∼q→∼p
d)
p→∼q
46.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
47.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
48.
Find the m∠3
a)
56
b)
124
c)
180
d)
66
49.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

50.

∠7 and ∠TPU are _______________

a)

Complementary and Adjacent

b)

Supplementary and Adjacent

c)

Adjacent

d)

Vertical

51.
If ∠BPD and ∠DPC have a sum of 72°. What is ∠APC?
a)
18°
b)
90°
c)
108°
d)
180°
52.

Which equation would you use to solve for the value of a?

a)

2a + 76 = 180

b)

2a + 76 = 90

c)

180 - 76 = a

d)

a + 76 = 180

53.

What is the value of x?

a)

18°18\degree

b)

28°28\degree

c)

15°15\degree

54.

Name an angle supplementary to ∠CBF.

a)

∠BCF

b)

∠FBA

c)

∠BFD

d)

∠CFD

55.

Name a linear pair whose vertex if F.

a)

∠JAD and ∠DAB

b)

∠FDA and ∠FDE

c)

∠HGF and FGD

d)

∠CFB and ∠BFD

56.

Find the value of x.

a)

60°

b)

65°

c)

70°

d)

120°

57.

Find the value of x.

a)

12°

b)

24°

c)

36°

d)

90°

58.

Find the value of y.

a)

85°

b)

89°

c)

90°

d)

180°