Free Printable Geometry Final Review

1.

When a point is the same distance from two figures

a)

Concurrent

b)

Equidistant

c)

Circumcenter

2.

Where three or more lines, rays, or segments intersect at the same point

a)

Concurrent

b)

Equidistant

c)

Circumcenter

3.

The point of concurrency of the three perpendicular bisectors of the sides of a triangle

a)

Circumcenter

b)

Concurrent

c)

Equidistant

4.

The point of concurrency of the angle bisectors of a triangle

a)

Orthocenter

b)

Circumcenter

c)

Incenter

5.

A line that is perpendicular to a segment at its midpoint

a)

Perpendicular Bisector

b)

Orthocenter

c)

Circumcenter

6.

What is Altitude?

a)

Perpendicular segment from the vertex of a triangle to the opposite side

b)

The point of concurrency of the medians of a triangle

c)

When a point is the same distance from two figures

7.

What is Median

a)

Segment from the vertex of a triangle to the midpoint of the opposite side

b)

Perpendicular segment from the vertex of a triangle to the opposite side

c)

The point of concurrency of the medians of a triangle

8.

What is Centriod

a)

Perpendicular segment from the vertex of a triangle to the opposite side

b)

The point of concurrency of the medians of a triangle

c)

When a point is the same distance from two figures

d)

Segment from the vertex of a triangle to the midpoint of the opposite side

9.

what is Orthocenter

a)

The point of concurrency of the altitudes of a triangle

b)

The point of concurrency of the angle bisectors of a triangle

c)

Figure it out

10.

Find m< JKM

a)

90

b)

76

c)

38

d)

83

11.

Find HG

a)

28

b)

14

c)

41

d)

7

12.

Find LK

a)

3

b)

5

c)

-3

d)

6

13.

Find PQ

a)

10

b)

3

c)

-2

d)

5

14.

Find the length of RT

a)

9

b)

4.5

c)

18

d)

36

15.

If DE is the midsegment of triangle ABC, what is the value of x?

a)

x=-3

b)

x=3

c)

x=5

d)

x=-1

16.

A line, segment, or ray that divides an angle in half

a)

Perpendicular bisector

b)

Vertical angles

c)

Angle bisector

d)

Midsegment

17.

Name the dashed segment:

a)

altitude

b)

median

c)

angle bisector

d)

perpendicular bisector

18.

Name the dashed segment:

a)

altitude

b)

angle bisector

c)

perpendicular bisector

d)

median

19.

Name the dashed segment:

a)

altitude

b)

angle bisector

c)

perpendicular bisector

d)

median

20.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

21.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

22.

Point P is the circumcenter, which segment is equal to PB

a)

DA

b)

AC

c)

PC

d)

PF

23.

P is the incenter of triangle JKL. Find OP.

a)

8

b)

13

c)

17

d)

4

24.

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

a)

20

b)

10

c)

5

d)

Not Enough Information

25.

If DL = 24, then DG =

a)

16

b)

8

c)

12

d)

36

26.

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

a)

6

b)

12

c)

18

d)

Not Enough Information

27.

The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire segment.

a)

one third

b)

two thirds

c)

three fourths

d)

one half

28.

Choose the TRUE statement.

a)

$AC>DF$

b)

$AC<DF$

c)

$AC=DF$

d)

The above statements are all false.

29.

Choose the TRUE statement.

a)

$m\angle1\ >\ m\angle2$

b)

$m\angle1\ \ <\ \ m\angle2$

c)

$m\angle1=m\angle2$

d)

The above statements are all false.

30.

What is a possible third side to a triangle with side lengths of 5 and 5?

a)

9

b)

10

c)

11

d)

12

31.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

32.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

33.

The sum of two sides of a triangle is equal to the third side.

a)

Always

b)

Sometimes

c)

Never

d)

Pythagorean theorem

34.

What assumption would you make to start the indirect proof of ∆ABC≅∆DEF?

a)

∆ABC≠∆DEF

b)

∆ABC≇∆DEF

c)

<ABC≠<DEF

d)

AB≅DE

35.

What assumption would you make to start the indirect proof of:
there can be only one 90 angle in a triangle

a)

there can be more than one 90 angle in a triangle

b)

<a+<b+<c=180

c)

<a+<b+<c≠180

d)

all the angles in a triangle add up to 180.

36.

Match the vocabulary word with its definition:

Congruent angles

a)

two angles whose measures have a sum of 90 degrees

b)

a pair of adjacent angles whose noncommon sides are opposite rays

c)

two angles whose measures have a sum of 360 degrees

d)

angles that have the same measure

37.

Match the vocabulary term with its definition:

Ray

a)

a figure formed by two rays with a common endpoint

b)

the point that divides a segment into two congruent segments

c)

a part of a line that extends forever in one direction

d)

a two-dimensional figure

38.

Select all the possible names for this plane.

a)

plane CDAB

b)

plane CDB

c)

plane ADC

d)

plane TCB

39.

What is XY?

a)

XY = 7

b)

XY = 5

c)

XY = 1

d)

XY = 6

40.

If AB = 5x + 8, BC = 5x + 12, and AC = 20x, what is AB?

a)

AB = 40

b)

AB = 22

c)

AB = 36

d)

AB = 18

41.

Find the distance between point A and point B.

a)

72

b)

the square root of 72

c)

6

d)

36

42.

If angle AOD is 124 - 2x and angle DOB= 9x, what is the measure of angle DOB?

a)

72

b)

8

c)

108

d)

63

43.

Which of the following is a linear pair? (select all that apply)

a)

1 and 4

b)

1 and 3

c)

2 and 3

d)

2 and 4

44.

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.

45.

Define Acute

a)

Less than 90

b)

Exactly 90

c)

Greater than 90 and less than 180

d)

Exactly 180

46.

Define Obtuse

a)

Less than 90

b)

Exactly 90

c)

Greater than 90 and less than 180

d)

Exactly 180

47.

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.

48.

What are supplementary 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.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

angle bisector

50.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

51.

Which postulate or definition states that
m∠ADB + m∠BDC = m∠ADC?

a)

Segment Addition Postulate

b)

Angle Addition Postulate

c)

Definition of Angle Bisector

d)

Definition of Congruent Angles

52.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

53.

What type of angles are <1 and <2?

a)

Supplementary Angles

b)

Linear Pair

c)

Adjacent Angles

d)

Vertical Angles

54.

Find the value of ∠A.

a)

39 degrees

b)

49 degrees

c)

51 degrees

d)

59 degrees

55.

Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0)

a)

(4, 3.5)

b)

(3.5, 5)

c)

(3.5, 4.5)

d)

(5, 3.5)

56.

Find the next term in the pattern: 2, 3, 5, 8, 12, ____

a)

12

b)

13

c)

15

d)

17

57.

Complete the conjecture: The sum of two odd numbers is _____.

a)

even

b)

sometimes odd, sometimes even

c)

odd

d)

even most of the time

58.

Write a conditional statement from the statement: A horse has four legs.

a)

If it has 4 legs then it is a horse.

b)

Every horse has 4 legs.

c)

If it is a horse, then it has 4 legs.

d)

It has 4 legs and it is a horse.

59.

Identify the property that justifies the statement:

\overline{AB}\ \cong\ \overline{CD\ }\ and\ \overline{CD\ }\ \cong\overline{EF},\ so\ \overline{AB}\ \cong\overline{EF}.

a)

Reflexive Property of Congruence

b)

Substitution Property of Equality

c)

Symmetric Property of Congruence

d)

Transitive Property of Congruence

60.

"If I have a Siberian Husky, then I have a dog."

Identify the converse.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

If I have a dog, then I have a Siberian Husky.

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

61.

"If I have a Siberian Husky, then I have a dog."

Identify the inverse.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

If I have a dog, then I have a Siberian Husky.

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

62.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

63.

What phrase does a biconditional statement use?

a)

if, then

b)

if, when

c)

if and only if

d)

then, if

64.

The Congruent Complement Theorem (2-3) states that angles complementary to the same angle or to congruent angles are ___.

a)

congruent

b)

complementary

c)

supplementary

d)

vertical

65.

What does a proof always start with?

a)

Theorems

b)

Given Statement(s)

c)

Postulates

d)

Reasons

66.

Postulate 1-9

If two angles form a linear pair, then they are (a) .

67.

Postulate 1-8

The ___ ___ postulate states that the measurements of the interior angles of the whole angle can be added together to find the total measurement.

(a)

68.

Postulate 1-6

The ___ ___ postulate states if three points are collinear then their segments add up to the total length of the line segment. I.E. AB + BC = AC

(a)

69.

Which property is illustrated below?

If 5(x - 3) = 10, then x - 3 = 2.

a)

Division Property

b)

Multiplication Property

c)

Distributive Property

d)

Subtraction Property

70.

Which property is illustrated below?

If

\frac{x\ -\ 5}{2}=\ 18

, then

x\ -\ 5\ =\ 36

.

a)

Multiplication Property

b)

Division Property

c)

Addition Property

d)

Subtraction Property

71.

Complete the Two-Point Postulate:

"Through any two points there exists ____________________"

a)

exactly one line

b)

more than one line

c)

exactly one plane

d)

exactly two lines.

72.

Complete the Plane-Point Postulate:

"A plane contains ____________________"

a)

at least two noncollinear points

b)

at least three noncollinear points.

c)

no more than 3 noncollinear points

d)

none of the above

73.

For a conjecture to be true, it must be true...

a)

in most cases.

b)

in all cases.

c)

on Thursday mornings.

d)

at least once.

74.

Which two angles are Same-Side Interior Angles

a)

Angles 2 and 3

b)

Angles 1 and 3

c)

Angles 3 and 7

d)

Angles 3 and 5

75.

Which are two Alternate Exterior Angles?

a)

Angles 1 and 6

b)

Angles 1 and 4

c)

Angles 1 and 8

d)

Angles 3 and 7

76.

Which are two Corresponding Angles?

a)

Angle 2 and 3

b)

Angle 1 and 2

c)

Angle 2 and 7

d)

Angle 2 and 5

77.

Which are two Alternate Interior Angles?

a)

Angles 2 and 6

b)

Angles 4 and 5

c)

Angles 4 and 7

d)

Angles 3 and 6

78.

Parallel lines have what kind of slope?

a)

The same

b)

Opposite Reciprocals

c)

Opposite

d)

None

79.

Find x

a)

80

b)

100

c)

90

d)

180

80.

Which two angles are Same-Side Interior Angles

a)

Angles 2 and 3

b)

Angles 1 and 3

c)

Angles 3 and 7

d)

Angles 3 and 5

81.

Which are two Alternate Exterior Angles?

a)

Angles 1 and 6

b)

Angles 1 and 4

c)

Angles 1 and 8

d)

Angles 3 and 7

82.

Which are two Corresponding Angles?

a)

Angle 2 and 3

b)

Angle 1 and 2

c)

Angle 2 and 7

d)

Angle 2 and 5

83.

Which are two Alternate Interior Angles?

a)

Angles 2 and 6

b)

Angles 4 and 5

c)

Angles 4 and 7

d)

Angles 3 and 6

84.

Parallel lines have what kind of slope?

a)

The same

b)

Opposite Reciprocals

c)

Opposite

d)

None

85.

Find x

a)

80

b)

100

c)

90

d)

180

86.

What is the slope of the line that is perpendicular to
y = 1/2(x) + 2.3

a)

-1/2

b)

-2

c)

2

d)

1/2

87.

What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)

a)

y = 1/4x + 6

b)

y = -4x + 7

c)

y = -4x + 2

d)

y = 1/4x -1

88.

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2 (3, -4)

a)

y = 3x - 2

b)

y = -1/3x - 5

c)

y = 3x - 4

d)

y = -1/3x - 3

89.

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.

The coordinates of the point P are:

a)

(1,5)

b)

(0,4)

c)

(3, 1)

d)

(-1, 1)

90.

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

a)

(7,9)

b)

(9,7)

c)

(-3,9)

d)

(5,1)

91.

If a line perpendicular to line AB was drawn through point D, which point below represents the coordinate of the perpendicular intersection point?

a)

(-2, 0)

b)

(0, -1)

c)

(2, -2)

d)

none of these

92.

What is the distance between point D and point E?

a)

$\sqrt{20}$

b)

$\sqrt{6}$

c)

20

93.

What is the distance between the point (15,13) and the line

y\ =\ 3x-2

? Round your answer to the nearest tenth.

a)

3.5

b)

5.8

c)

7.1

d)

9.5

e)

11.9

94.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

95.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

96.

State the angle relationship and find the measure of angle 1

a)

Corresponding
110

b)

Alternate Exterior
110

c)

Corresponding
70

d)

Alternate Exterior
70

97.

State the angle relationship and find the measure of angle 1

a)

Alternate Interior
37

b)

Alternate Interior
143

c)

Corresponding
143

d)

Corresponding
37

98.

State the angle relationship and find the measure of angle 1

a)

Alternate Interior
49

b)

Same Side Interior
131

c)

Same Side Interior
49

d)

Alternate Interior
131

99.

Find the distance between point A(-1,7) and the line y = 3x.

a)

$\sqrt{10}$

b)

$\sqrt{40}$

c)

$\sqrt{9}$

d)

$\sqrt{36}$

100.

(a)

101.

(a)

102.

a)

62

b)

28

c)

118

d)

31

103.

Part of a line. Has one endpoint and continues on forever in one direction.

a)

Line Segment

b)

Line

c)

Ray

d)

Point

104.

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.

105.

Define Acute

a)

Less than 90

b)

Exactly 90

c)

Greater than 90 and less than 180

d)

Exactly 180

106.

Define Obtuse

a)

Less than 90

b)

Exactly 90

c)

Greater than 90 and less than 180

d)

Exactly 180

107.

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.

108.

What are supplementary 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

109.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

angle bisector

110.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

111.

Which postulate or definition states that
m∠ADB + m∠BDC = m∠ADC?

a)

Segment Addition Postulate

b)

Angle Addition Postulate

c)

Definition of Angle Bisector

d)

Definition of Congruent Angles

112.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

113.

What type of angles are <1 and <2?

a)

Supplementary Angles

b)

Linear Pair

c)

Adjacent Angles

d)

Vertical Angles

114.

Find the length indicated.

a)

25

b)

5

c)

-5

d)

12.5

115.

Find the missing angle.

a)

43

b)

47

c)

57

d)

67

116.

Angle JHG measures 161.

a)

m∠GHK=80.5,
m∠KHJ=161

b)

m∠GHK=161,
m∠KHJ=80.5

c)

m∠GHK=80.5,
m∠KHJ=80.5

d)

m∠GHK=161,
m∠KHJ=161

117.

Find the value of ∠A.

a)

39 degrees

b)

49 degrees

c)

51 degrees

d)

59 degrees

118.

Find $\angle PSR$ if $\angle TSP=54\degree$ and $\angle TSR\ =138\degree$

a)

$\angle TSR=192\degree$

b)

$\angle TSR=84\degree$

c)

$\angle TSR=42\degree$

d)

$\angle TSR=126\degree$

119.

Solve for x if $\angle ABD=x+67$ , $\angle ABC=104\degree$ , and $\angle DBC\ =\ x+51$ .

a)

x = 53

b)

x = 37

c)

x = 7

d)

x = $-7$

120.

Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0)

a)

(4, 3.5)

b)

(3.5, 5)

c)

(3.5, 4.5)

d)

(5, 3.5)

121.

Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school?

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

122.

Find the distance between the points: (-3, -4) and (5, 5)

a)

11.8

b)

14.4

c)

12

d)

19

123.

What is the distance between (-5, 3) and (4, -5)

a)

Square root of -145

b)

Square root of 145

c)

145

d)

-145

124.

If ∠C and ∠D are supplementary, and the measure of ∠D is 45°, what is the measure of ∠C?

a)

135

b)

45

c)

125

d)

90

125.

If ∠H and ∠J are complementary, and the measure of ∠H is 45°, what is the measure of ∠J?

a)

135

b)

45

c)

60

d)

55

126.

The midpoint of segment EF is M(1, -1). One endpoint is E(3, -2). Find the coordinates of endpoint F.

4 lines

127.

Which property is illustrated below?

If $\angle DOG\cong\angle BOW$ and $\angle BOW\cong\angle CAT$ , then $\angle DOG\cong\angle CAT$ .

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Substitution Property

128.

Two planes intersect at a

a)

point

b)

line

c)

plane

d)

ray

129.

Which of the following theorems would verify that ∠COB & ∠AOD are congruent?

a)

Straight Angle Theorem

b)

Congruent Angle Theorem

c)

Vertical Angles Theorem

d)

Linear Pair Theorem

130.

The Congruent Complement Theorem (2-3) states that angles complementary to the same angle or to congruent angles are ___.

a)

congruent

b)

complementary

c)

supplementary

d)

vertical

131.

What does a proof always start with?

a)

Theorems

b)

Given Statement(s)

c)

Postulates

d)

Reasons

132.

Name the intersection of planes ADF and EHG.

a)

Point E

b)

Point F

c)

Line EF

d)

Line FG

133.

Postulate 1-9

If two angles form a linear pair, then they are (a) .

134.

Postulate 1-8

The ___ ___ postulate states that the measurements of the interior angles of the whole angle can be added together to find the total measurement.

(a)

135.

Postulate 1-6

The ___ ___ postulate states if three points are collinear then their segments add up to the total length of the line segment. I.E. AB + BC = AC

(a)

136.

What property is illustrated below?

If 5x + 3 = 18, then 5x = 15.

a)

Subtraction Property

b)

Addition Property

c)

Multiplication Property

d)

Substitution Property

137.

$\overline{xy}\cong\overline{xy}$ .

Which property is illustrated below?

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Substitution Property

138.

What property is illustrated below?

If 4(x - 3) = 23, then 4x - 12 = 23.

a)

Multiplication Property

b)

Distributive Property

c)

Division Property

d)

Substitution Property

139.

Which property is illustrated below?

If

\frac{x\ -\ 5}{2}=\ 18

, then

x\ -\ 5\ =\ 36

.

a)

Multiplication Property

b)

Division Property

c)

Addition Property

d)

Subtraction Property

140.

Which property is illustrated below?

If 5(x - 3) = 10, then x - 3 = 2.

a)

Division Property

b)

Multiplication Property

c)

Distributive Property

d)

Subtraction Property

141.

Which property is illustrated below?

If x = 4, then 6x + 2 = 6(4) + 2.

a)

Substitution Property

b)

Multiplication Property

c)

Reflexive Property

d)

Transitive Property

142.

Complete the Two-Point Postulate:

"Through any two points there exists ____________________"

a)

exactly one line

b)

more than one line

c)

exactly one plane

d)

exactly two lines.

143.

Complete the Plane-Point Postulate:

"A plane contains ____________________"

a)

at least two noncollinear points

b)

at least three noncollinear points.

c)

no more than 3 noncollinear points

d)

none of the above

144.

a)

True

b)

False

145.

a)

True

b)

False

146.

Which statement is TRUE, based on this diagram?

a)

Point O is the midpoint of $\overline{SP}$

b)

$\overline{SP}$ and $\overline{QM}$ intersect at point U.

c)

Plane L and Plane K intersect at $\overline{QM}$

d)

Plane L and Plane K intersect at $\overline{SP}$

147.

To fully disprove a conjecture, one needs to find only ONE counterexample.

a)

True

b)

False

148.

Which of the following conjectures is false?

a)

The product of two even numbers is even.

b)

The sum of two even numbers is even.

c)

The product of two odd numbers is odd.

d)

The sum of two odd numbers is odd.

149.

Complete the conjecture.
The sum of two negative numbers is ___________.

a)

positive

b)

negative

c)

odd

d)

even

150.

For a conjecture to be true, it must be true...

a)

in most cases.

b)

in all cases.

c)

on Thursday mornings.

d)

at least once.

151.

What is the hypothesis of the given Conditional Statement?

a)

Jimmy will go to Orlando

b)

Jimmy goes on vacation

c)

Jimmy will go to Orlando

d)

Who is Jimmy?

152.

The opposite angles of a parallelogram are ...

a)

complementary

b)

congruent

c)

supplementary

d)

perpendicular

153.

In a parallelogram, consecutive angles are __________.

a)

congruent

b)

supplementary

c)

corresponding

d)

parallel

154.

In a parallelogram, diagonals are __________.

a)

perpendicular

b)

bisected

c)

congruent

d)

parallel

155.

The opposite sides of a parallelogram are congruent.

a)

true

b)

false

c)

maybe

d)

sometimes

156.

A rhombus is a parallelogram with...

a)

four congruent angles

b)

four right angles

c)

four congruent sides

d)

two congruent sides

157.

A rectangle is a parallelogram with...

a)

four right angles

b)

four congruent sides

c)

two sides parallel

d)

None of the above

158.

A square is a parallelogram with...(read all options before selecting)

a)

four right angles

b)

four congruent sides

c)

four right angles and four congruent sides

d)

none of the above

159.

Name the following shape:

a)

Rhombus

b)

Rectangle

c)

Square

160.

Name the following shape:

a)

Rhombus

b)

Rectangle

c)

Square

161.

Name the following shape:

a)

Rhombus

b)

Rectangle

c)

Square

162.

Find m∠2.

a)

62

b)

28

c)

90

d)

78

163.

Find y.

a)

2

b)

4

c)

6

d)

8

164.

ABCD is a rectangle. m∠BCE = 4x-23 and m∠DCE = 5+5x. Find m∠BCE.

a)

25

b)

12

c)

130

d)

32

165.

The diagonals of a rectangle are

a)

Congruent

b)

Parallel

c)

Perpendicular

d)

Skew

166.

Each diagonal of this quadrilateral bisects a pair of opposite angles.

a)

Parallelogram

b)

Rhombus

c)

Rectangle

d)

Isosceles Trapezoid

167.

Which quadrilateral does not have diagonals that are perpendicular?

a)

Rectangle

b)

Rhombus

c)

Square

d)

Kite

168.

Which of the following statements is false?

a)

a kite has no parallel sides

b)

a kite has one pair of congruent angles

c)

the diagonals of a kite are perpendicular

d)

the diagonals of a kite are congruent

169.

Which of the following statements is true?

a)

a kite has congruent opposite sides

b)

a kite has two pairs of congruent angles

c)

the diagonals of a kite are perpendicular

d)

the diagonals of a kite form 4 congruent triangles

170.

Find the value of y.

a)

65

b)

110

c)

75

d)

None of these.

171.

According the the definition of a kite, "A kite is a quadrilateral with..."

a)

2 pairs of OPPOSITE congruent sides.

b)

2 pairs of CONSECUTIVE congruent sides.

c)

4 congruent sides.

d)

congruent diagonals.

172.

Is this a kite?

a)

Yes!

b)

No.

173.

A trapezoid is a parallelogram.

a)

True

b)

False

174.

Base angles of an isosceles trapezoid are _____.

a)

neither

b)

supplementary

c)

congruent

175.

The legs of an isosceles trapezoid are _____.

a)

parallel

b)

perpendicular

c)

congruent

d)

skew

176.

A trapezoid is a quadrilateral with exactly one pair of _____ sides.

a)

parallel

b)

congruent

c)

perpendicular

d)

skew

177.

Find the measure of DG.

a)

14

b)

28

c)

12

d)

16

178.

Find the value of x.

a)

35

b)

3

c)

33

d)

None of these

179.

Find the measure of the midsegment XY:

a)

21

b)

9

c)

12

d)

10.5

180.

Find the length of KL.

a)

10

b)

21

c)

26

d)

42

181.

Find the measure of the x (midsegment):

a)

25

b)

9

c)

12

d)

15

182.

Classify the triangle by angles and sides.

a)

Right Scalene

b)

Acute Isosceles

c)

Obtuse Isosceles

d)

Equiangular Equilateral

183.

Classify the triangle by angles and sides.

a)

Right Scalene

b)

Right Isosceles

c)

Acute Isosceles

d)

Right Obtuse

184.

Classify the triangle by angles and sides.

a)

Obtuse Scalene

b)

Obtuse Isosceles

c)

Right Scalene

d)

Acute Isosceles

185.

Classify the triangle by angles and sides.

a)

Equiangular Equilateral

b)

Right Isosceles

c)

Right Scalene

d)

Acute Isosceles

186.

Determine the length of $\overline{JK}$

a)

13 units

b)

32 units

c)

14 units

d)

34 units

187.

Determine the length of $\overline{RP}$

a)

0.9 units

b)

2.3 units

c)

0.25 units

d)

0.71 units

188.

Determine the length of $\overline{CB}$

a)

21 units

b)

15 units

c)

6 units

d)

x units

189.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

190.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

191.

Which segment is congruent to EF?

a)

HG

b)

HF

c)

GF

d)

IE

192.

What does SAS stand for?

a)

Side-Angle-Side

b)

Super-Awesome-Side

c)

Side-Angle-Supersized

d)

Sensationally Awesome Superman

193.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

194.

What are the five ways to prove triangles congruent?

a)

SSS, ASA, AAS, SAS, HL

b)

SSS, SSA, HL, AAS, SAS

c)

SAS, SSA, HL, AAS, SSS

d)

HL, SAS, SSA, SSS, ASA

195.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

AAA

b)

AAS

c)

ASA

d)

Not necessarily congruent

196.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

SSA

b)

AAS

c)

ASA

d)

Not necessarily congruent

197.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

198.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

199.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

200.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

They're the same side!!!!!!

201.

Find the measure of each angle indicated.

a)

$70\degree$

b)

$170\degree$

c)

$10\degree$

d)

$40\degree$

202.

Find the measure of each angle indicated.

a)

$50\degree$

b)

$120\degree$

c)

$30\degree$

d)

$20\degree$

203.

Find the measure of each angle indicated.

a)

$105\degree$

b)

$75\degree$

c)

$55\degree$

d)

$115\degree$

204.

Find the measure of each angle indicated.

a)

$95\degree$

b)

$185\degree$

c)

$55\degree$

d)

$100\degree$

205.

Find the measure of each angle indicated.

a)

$60\degree$

b)

$130\degree$

c)

$50\degree$

d)

$110\degree$

206.

Which of the following angles are remote interior angles to

\angle d

?

a)

$\angle a\ and\ \angle b$

b)

$\angle a\ and\ \angle c$

c)

$\angle b\ and\ \angle d$

d)

$\angle a,\ \angle b,\ and\ \angle c$

207.

For isosceles triangles, when we are given that two sides are congruent we can prove that ______________________.

a)

two angles are congruent

b)

the third side is congruent

c)

three angles are congruent

d)

no other relationships exist

208.

When we are given two angles of a triangle are congruent, we can prove ____________________.

a)

three sides are congruent

b)

two sides are congruent

c)

three angles are congruent

d)

no other relationships exist

209.

What is the

m\angle U

?

(a)

210.

What is the

m\angle T

?

(a)

211.

What is the measure of

EF

?

(a)

212.

Find the value of x

(a)

213.

Find the value of x.

(a)

214.

If ΔABC is an isosceles triangle and ΔDBE is an equilateral triangle, find each numbered angle measure.

4 lines

215.

In ΔABC, if

\overline{AC}\cong\overline{CB}

,

m\angle A=\left(3x+18\right)\degree

,

m\angle B=\left(7x-58\right)\degree

,

m\angle C=\left(2x-8\right)\degree

, find the value of x and the measure of each angle.

4 lines

Geometry Final Review

Total questions: 215

Worksheet time: 10hrs 40mins

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