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GEOM Unit 2 REVIEW

Total questions: 75

Worksheet time: 5hrs 41mins

Name
Class
Date
1.

An undefined term in Geometry. A specific location. It has no dimension and is represented by a dot.

a)

Line

b)

Midpoint

c)

Collinear

d)

Point

2.

An undefined term in Geometry. A connected straight path. It has no thickness and it continues forever in both directions.

a)

Endpoints

b)

Midpoint

c)

Line

d)

Segment Bisector

3.

Which of the following correctly names the figure shown?

a)
b)
c)
d)
4.

A flat surface made up of points that has two dimensions and extends without end.

a)
Point
b)
Plane
c)
Angle
d)
Line
5.
A line that contains point M.
a)

Line q

b)

Line p

c)

Line r

6.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
7.
An example of 2 non-collinear points.
a)
D, E
b)
C, B
c)
M, E
d)
F, B
8.

Which of the following is the correct way to name this plane?

a)

Plane PGW

b)

Plane MW

c)

Plane G

d)

Plane PRW

9.

A portion of a line consisting of two points (endpoints) and all points between them.

a)

Line

b)

Point

c)

Line Segment

d)

Collinear Points

10.

What is the name(s) of the GREEN line segment?

a)
RT
b)
RX
c)
TX
d)

TR

e)

XR

11.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

CD+BD=BC

d)

BC+BD=CD

12.

Two segments that have the same length.

a)

Line Segment

b)

Parallel

c)

Coplanar

d)

Congruent Segments

13.
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.
14.

The point that divides the segment into two segments that have the same length.

a)

Coplanar

b)

Midpoint

c)

Ray

d)

Line

15.

Find the midpoint of the line. M=(xm,ym)=(x1+x22,y1+y22)M=\left(x_m,y_m\right)=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

a)

(2,1)

b)

(1,2)

c)

(-2,1)

d)

(1,-2)

16.

What is the midpoint between (3, -1) and (7, -5)

M=(xm,ym)=(x1+x22,y1+y22)M=\left(x_m,y_m\right)=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
17.

What is the distance between the two points? d=(x2x1)2+(y2y1)2=(Δx)2+(Δy)2d=\sqrt[]{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}=\sqrt[]{\left(\Delta x\right)^2+\left(\Delta y\right)^2}

a)

2102\sqrt[]{10}

b)

222\sqrt[]{2}

c)

8

d)

40

18.

Find the distance between (-4, 5) and (7, 18). d=(x2x1)2+(y2y1)2=(Δx)2+(Δy)2d=\sqrt[]{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}=\sqrt[]{\left(\Delta x\right)^2+\left(\Delta y\right)^2}

a)
15.96
b)
16.08
c)
16.23
d)
17.03
19.
What is the perimeter of the figure? 
a)
12 units
b)
18 units
c)
24 units
d)
36 units
20.
What is the area of the figure? 
a)
12 square units
b)
24 square units
c)
18 square units
d)
36 square units
21.

What is the perimeter of the triangle? (Round to the nearest tenth)

a)

12

b)

about 13.2

c)

21

d)

about 12.6

22.
What is the area of the figure? 
a)
11 square units
b)
15 square units
c)
25 square units
d)
30 square units
23.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
24.
a)
x = 54
b)
x = 9
c)
x = 24
d)
x = 144
25.
Which of the following terms best describes Angle d? (remember that it's outside)
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
26.
Solve for the missing angle with the question mark. 
a)
A
b)
B
c)
C
d)
D
27.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
28.

Set up an equation to find x.

a)

52 + 5x + 16 + 10x + 8 = 180

b)

52 - 5x + 16

c)

52 + 5x + 16 = 10x + 8

d)

52 + 10x + 8 = 5x +16

29.

A triangle in which all sides are of equal length is called....

a)

Equilateral triangle

b)

Isosceles Triangle

c)

Obtuse angled Triangle

d)

Right angled Triangle

e)

Scalene Triangle

30.

Identify the type of triangle

a)

Isosceles Triangle

b)

Equilateral triangle

c)

Scalene triangle

d)

Right angled Triangle

31.

Identify the type of triangle

a)

Acute, Isosceles

b)

Equiangular, Equilateral

c)

Acute, Scalene

d)

Right, Isosceles

e)

Right, Equilateral

32.

Identify the type of triangle

a)

Acute angled Triangle

b)

Obtuse angled Triangle

c)

Right angled Triangle

d)

Equilateral triangle

33.

Identify the type of triangle and find the measure of the missing angle.

a)

obtuse, scalene triangle, 30o

b)

obtuse, isosceles triangle, 110o

c)

supplementary triangle, 150o

d)

acute, scalene triangle, 40o

e)

obtuse, isosceles triangle, 30o

34.

Lines in the same plane that do not intersect.

a)

Bisector

b)

Collinear

c)

Coplanar

d)

Parallel Lines

35.

A line that passes through parallel lines is called a (a)   .

36.
Two angles that add up to 180 degrees are called _____________ ______.
a)
right angles
b)
corresponding angles
c)
complementary angles
d)
supplementary angles
37.

Name the angle relationship

a)

Corresponding Angles (CorrA)

b)

Alternate Interior Angles (AIA)

c)

Alternate Exterior Angles (AEA)

d)

Vertical Angles (VA)

e)

Consecutive Interior Angles (CIA)

38.

Name the angle relationship

a)

Corresponding Angles (CorrA)

b)

Alternate Interior Angles (AIA)

c)

Alternate Exterior Angles (AEA)

d)

Vertical Angles (VA)

e)

Consecutive Interior Angles (CIA)

39.

Name the angle relationship

a)

Alternate Interior Angles (AIA)

b)

Consecutive Interior Angles (CIA)

c)

Alternate Exterior Angles (AEA)

d)

Vertical Angles (VA)

e)

Corresponding Angles (CorrA)

40.

Name the angle relationship

a)

Alternate Interior Angles (AIA)

b)

Consecutive Interior Angles (CIA)

c)

Alternate Exterior Angles (AEA)

d)

Vertical Angles (VA)

e)

Corresponding Angles (CorrA)

41.

Name the angle relationship

a)

Alternate Interior Angles (AIA)

b)

Linear Angles (LA)

c)

Alternate Exterior Angles (AEA)

d)

Vertical Angles (VA)

e)

Corresponding Angles (CorrA)

42.

Solve for x.

a)

100

b)

20

c)

80

d)

4

43.

Find <5

a)

41

b)

37

c)

61

d)

27

44.

find y

a)

101

b)

105

c)

109

d)

117

45.

What is the value of x?

(a)  

46.

What is the value of x?

(a)  

47.

Find the value of x.

(a)  

48.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

49.
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°
50.

9) Given the following two parallel lines that have been cut by a transversal.


Choose all the options that represent corresponding angles.

a)

5\angle5  and  3\angle3  

b)

3\angle3  and 8\angle8  

c)

2\angle2  and 7\angle7  

d)

6\angle6  and 4\angle4  

51.

What is the sum of a Quadrilaterals interior angles?

a)

180°180\degree  

b)

360°360\degree  

c)

400°400\degree  

d)

90°90\degree  

52.
Find the missing angle.
a)
30°
b)
60°
c)
90°
d)
120°
53.
EFGH is a square.
What is the measure of angle 1?
a)
90 degrees
b)
45 degrees
c)
30 degrees
d)
60 degrees
54.

Match the following quadrilaterals with its most specific name.

a)
1.

square

b)
2.

parallalelogram

c)
3.

rhombus

d)
4.

quadrilateral

55.

Select the quadrilateral(s) that ALWAYS have the given property.

Diagonals are congruent.

a)

parallelogram

b)

rhombus

c)

rectangle

d)

square

56.

Select the quadrilateral(s) that ALWAYS have the given property.

Diagonals are perpendicular.

a)

parallelogram

b)

rhombus

c)

rectangle

d)

square

57.

Which of the following characteristics would prove that a quadrilateral is a parallelograms. 

Select all that apply

a)
Opposite angles are supplementary.
b)
Opposite angles are congruent.
c)
Adjacent angles are complementary.
d)
adjacent angles are supplementary. 
58.
Determine whether the figure is a parallelogram.  If so, state the reason.
a)
Yes, quadrilateral with 2 pairs of opposite sides ≅
b)
Yes, quadrilateral with 2 pairs of opposite angles ≅
c)
Yes, quad with diagonals bisecting each other 
d)
not a parallelogram
59.

If ABCD is a parallelogram, what is the length of BD

a)
10
b)
11
c)
7
d)
5
60.

For the Rhombus, find m∠4.

a)

62

b)

28

c)

90

d)

78

61.
A square has all the properties of a
a)
parallelogram
b)
rectangle
c)
rhombus
d)
parallelogram, rectangle, and rhombus
62.

Check ALL that are true about the DIAGONALS of a rhombus.

a)

the diagonals bisect each other

b)

the diagonals are congruent

c)

the diagonals bisect opposite angles

d)

the diagonals are perpendicular

63.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
64.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
8
c)
2
d)
6
65.

Find the value of x that makes the quadrilateral a parallelogram.

a)

5

b)

35

c)

75

d)

55

66.

Find the value of x that makes the quadrilateral a parallelogram.

a)

x = 26

b)

x = 7

c)

x = 2

d)

x = -2

67.
In order for ABCD to be a parallelogram, what must the value of x be?
a)
132
b)
66
c)
114
d)
48
68.
The diagonals of a parallelogram
a)
are always congruent
b)
bisect each other
c)
are never congruent
d)
parallel
69.
The diagonals of a ________ are congruent
a)
Parallelogram
b)
Rectangle and square
c)
Rhombus and square
d)
Trapezoid
70.

What are the properties of a parallelogram?

a)

Opposite sides are parallel

b)

Diagonals are congruent

c)

Diagonals bisect each other

d)

All sides are congruent

e)

Consecutive angles are supplementary

71.

What are the properties of a rectangle?

a)

Four right angles

b)

Opposite sides are parallel

c)

Opposite sides are congruent

d)

Diagonals bisect each other

e)

Diagonals are congruent

72.

Which quadrilateral(s) have four congruent sides?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

73.

Which quadrilateral(s) have perpendicular diagonals?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

74.

Which of the following is true about the diagonals of a rectangle? Select all that are true.

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Diagonal are perpendicular

d)

Diagonals bisect the angles

75.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28