Free Printable Geo Cumulative Review

1.

Angles that have a measure less than 90 degrees are called _______ ________.

a)

acute angles

b)

obtuse angles

c)

right angles

d)

straight angles

2.

Points that lie in the same plane.

a)

Colinear

b)

Intersection

c)

Parallel Planes

d)

Coplanear

3.

A (a) is part of a line that begins with a point, then extends forever in one direction.

4.

A point that divides a segment into two congruent segments.

a)

Vertex

b)

Endpoint

c)

Angle bisector

d)

Midpoint

5.

Match the following

a)

1.

Point

b)

2.

Line

c)

3.

Line Segment

d)

4.

Ray

e)

5.

Plane

6.

What is the symbol for congruent?

a)

$\cong$

b)

$\perp$

c)

$\parallel$

d)

$\equiv$

7.

When taking the converse we ___________ the hypothesis and conculsion

a)

negate

b)

switch

c)

highlight

d)

switch and negate

8.

p→q
What is the contrapositive?

a)

q→p

b)

∼p→∼q

c)

∼q→∼p

d)

p→∼q

9.

p→q
What is the converse?

a)

q→p

b)

∼p→∼q

c)

∼q→∼p

d)

p→∼q

10.

If it is a triangle then it has three sides.
What is the hypothesis?

a)

it is a polygon

b)

it is a triangle

c)

it has three sides

d)

a triangle is a polygon

11.

What is the inverse?
If Jason does not go out to dinner, then he will come to the volleyball game.

a)

If Jason goes out to dinner, then he will not come to the volleyball game.

b)

If Jason comes to the volleyball game, then he will not go out to dinner.

c)

If Jason comes to the volleyball game, then he will go out to dinner.

d)

If Jason does not go out to dinner, then he will not come to the volleyball game.

12.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

a)

If the measures of the angles are equal, then the angles are congruent.

b)

"If angles are not congruent, then the measures of the angles are not equal."

c)

If the measures of the angles are not equal, then the angles are not congruent.

d)

If the angles are not congruent, then the measure of the angles are equal.

13.

Match the following

a)

$\sim p\rightarrow\sim q$

1.

Inverse

b)

$q\rightarrow p$

2.

Converse

c)

$p\rightarrow q$

3.

Original Conditional

d)

$\sim q\rightarrow\sim p$

4.

Contrapositive

14.

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, therefore

a)

look out for the snowplows while driving to school.

b)

the big test will not be given today.

c)

the roads will be hard to drive on.

d)

you should call the school to see if school is canceled.

15.

If Bill wears a green shirt, then he will pass the test. Bill wore a green shirt.

What can you conclude?

a)

Bill wore a green shirt.

b)

Bill passed the test.

c)

Nothing

16.

Identify the hypothesis and conclusion of the conditional statement:
If it is raining, then it is cloudy.

a)

H: It is raining
C: It is cloudy.

b)

H: It is cloudy.
C: It is raining.

c)

H: Clouds make rain.
C: Rain does not make clouds.

d)

H: Rain and clouds happen together.
C: Rain and clouds do not happen together.

17.

What is the inverse of "If it is Saturday, then it is the weekend"?

a)

If it is the weekend, then it is Saturday.

b)

If it is not Saturday, then it is the weekend.

c)

If it is not the weekend, then it is not Saturday.

d)

If it is not Saturday, then it is not the weekend.

18.

What is the converse of “If you saw the movie, then you know how it ends”?

a)

If you know how the movie ends, then you saw the movie.

b)

If you did not see the movie, then you do not know how it ends.

c)

If you do not know how the movie ends, then you did not see the movie.

d)

If you do not know how the movie ends, then you saw the movie.

19.

Let p= It is warm outside

Let q= flowers are blooming

Let s= It is snowing

Which one of these sentences is equivalent to following symbols?

~s∴pΛq

a)

It is not snowing, therefore it is warm outside and flowers are not blooming

b)

It is snowing therefore it is not warm outside and flowers are blooming

c)

It is not snowing therefore it is warm outside and flowers are blooming

d)

it is not warm outside and flowers are blooming therefore it is snowing

20.

What do we call an unproven statement that is based on observations?

a)

counterexample

b)

conditional

c)

converse

d)

conjecture

21.

Which examples would support the conjecture that the sum of an even integer and an odd integer will be odd? Check all that apply.

a)

2 + 5 = 7

b)

-3 + 4 = 1

c)

6 + -9 = -3

d)

There are only counterexamples.

22.

What is a counterexample?

a)

A generalism that cannot be applied to a specific case

b)

A specific case that help to prove a conjecture

c)

A general case that is supported by specific examples

d)

A specific case for which a conjecture is false

23.

Which of the following is a counterexample to the conjecture that the product of two positive numbers is always greater than either number?

a)

1 x 5 = 5; 5 is not greater than 5

b)

2 x 3 = 6; 6 is greater than 2 and 3

c)

-3 x 4 = -12; -12 is not greater than -3 or 4

d)

-1 x -2 = 2; two is greater than -1 and -2

24.

In order to prove a conjecture false, ...

a)

you need only one counterexample.

b)

you need several counterexamples.

c)

you need to show all cases are false.

25.

Complementary angles are angles that together equal

a)

180 degrees

b)

90 degrees

c)

45 degrees

d)

100 degrees

26.

Find the missing angle.

a)

53

b)

67

c)

77

d)

43

27.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

28.

Find the value of x.

a)

15

b)

16

c)

18

d)

19

29.

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

30.

Are these vertical angles?

a)

yes

b)

no

31.

What is the measure of angle y?

a)

76

b)

104

32.

Which angle is congruent (equal) to the marked

54\degree

angle?

a)

$\angle1$

b)

$\angle2$

c)

$\angle3$

33.

2. FIND ∠SOR

a)

45

b)

135

c)

90

d)

180

34.

3. Find X

a)

59

b)

31

c)

177

35.

Match the following angles with the correct relationship.

a)

$\angle ADC\ and\ \angle BED$

1.

Corresponding angles

b)

$\angle CDG\ and\ \angle BEF$

2.

Alternate Exterior Angles

c)

$\angle GDE\ and\ \angle DEH$

3.

Same side Interior Angles

d)

$\angle ADE\ and\ \angle CDG$

4.

Vertical Angles

36.

What is the value of $\angle BEF$ ?

(a)

37.

$\angle WVY\ and\ \angle VWT$ are (a) angles.

When two parallel lines are cut by a transversal, the (b) angles are supplementary.

Choose from the below words

alternate interior

same side interior

alternate exterior

corresponding

vertical

38.

What is the value of x?

a)

26

b)

50

c)

87

d)

130

39.

A line that intersects two or more lines

a)

Parallel

b)

Transversal

c)

Perpendicular

40.

Two lines that intersect to form four right angles

a)

Parallel

b)

Transversal

c)

Perpendicular

41.

Outside the parallel lines; same side of the transversal; supplementary

a)

Alternate Exterior Angles

b)

Same Side Exterior Angles

c)

Corresponding Angles

d)

Same Side Interior Angles

42.

Name all angles that measure 107 degrees.

a)

a, d, g

b)

a, e, g

c)

b, d, f

d)

c, d, g

43.

WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?

a)

X=12

b)

8X - 17 + 5X +19 = 180

c)

8X - 17 = 5X +19

d)

X= -12

44.

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X?

a)

16X+180 = 90

b)

12X - 29 = 4X +1

c)

12X - 29 + 4X +1=90

d)

12X - 29 + 4X +1=180

45.

WHAT IS THE CORRECT EQUATION TO USE TO SOLVE FOR X?

a)

33 = 7X +5

b)

-7X=33

c)

33+7X+5=180

d)

33+7X+5=90

46.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

47.

Find the missing angle measure and name the pair of angles.

a)

79 degrees; Vertical Angles

b)

101 degrees; Linear Pair

c)

79 degrees; Corresponding Angles

d)

101 degrees; Alternate Interior Angles

48.

What is the midpoint between (2, -5) and (0, 15)?

a)

(1, 10)

b)

(2, 10)

c)

(1, 5)

d)

(2, 15)

49.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

50.

Find the ENDPOINT when the midpoint is (-4, 1) and 1 of the endpoints is (9, 2)

a)

(0, -17)

b)

(-17, 0)

c)

(0, 5)

d)

(-5, 0)

51.

What is the value of the missing angle?

a)

105

b)

80

c)

55

d)

25

52.

Find the measure of the missing angles.

a)

A

b)

B

c)

C

d)

D

53.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

54.

Solve for x.

a)

7

b)

9

c)

-11

d)

-8

55.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

56.

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

57.

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

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

58.

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

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

59.

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

60.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

61.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

62.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

SSS

c)

ASA

d)

HL

63.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

NONE

64.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

65.

$\Delta BIG\cong\Delta LAD$ , which angle is congruent to $\angle B$ ?

a)

$\angle G$

b)

$\angle L$

c)

$\angle A$

d)

$\angle D$

66.

If $\Delta GAM\cong\Delta ERS$ , what angle is congruent to $\angle RES$ ?

a)

$\angle GAM$

b)

$\angle AGM$

c)

$\angle GMA$

d)

$\angle MAG$

67.

$\Delta GAM\cong\Delta ERS$ , $\overline{GA}=11$ , $\overline{GM}=8$ , and $\overline{AM}=7$ . What is the length of $\overline{ER}$ ?

a)

7

b)

8

c)

11

d)

26

68.

What is the name of the triangle congruent to $\Delta RPE$ ?

a)

$\Delta CFT$

b)

$\Delta FTC$

c)

$\Delta TFC$

d)

$\Delta FCT$

69.

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

a)

equal

b)

congruent

c)

proportional

d)

none of these

70.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

71.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

72.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

73.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

74.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

75.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

76.

The triangles are similar, solve for the question mark.

(a)

77.

Find side length X.

(a)

78.

Solve for g in the proportion

\frac{10}{h}=\frac{2}{10}

a)

h=10

b)

h=2

c)

h=50

d)

h=100

79.

Find the scale factor going from the small triangle to the larger triangle

a)

3

b)

1/3

c)

2

d)

5

80.

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree’s shadow is 32 feet long. What is the height of the tree?

a)

20 feet

b)

24 feet

c)

29 feet

d)

51 feet

81.

Can the following 3 numbers be side measures of a triangle

4, 7, 8

a)

Yes

b)

No

82.

Can the following 3 numbers be side measures of a triangle

9, 6, 5

a)

Yes

b)

No

83.

Can the following 3 numbers be side measures of a triangle

3, 6, 2

a)

Yes

b)

No

84.

Match the following triangles with their correct definition.

a)

1.

all sides are the same length.

b)

2.

Has at least 2 equal sides.

c)

3.

Has no equal sides.

d)

4.

Has one right angle

e)

5.

Has 3 acute angles

85.

If triangles ADE and ABC shown in the figure above are similar, what is the value of x?

a)

4

b)

5

c)

6

d)

8

86.

Which of the following sets of side lengths will make a triangle?

a)

7, 15, 17

b)

8, 12, 16

c)

3, 5, 10

d)

4, 5, 10

e)

22, 11, 11

87.

What is the range of possible values for x?

a)

6 < x < 12

b)

3 < x < 9

c)

6 < x < 9

d)

3 < x < 12

88.

What is the range of possible values for x?

a)

2.8 < x < 5.4

b)

1.3 < x < 4.1

c)

2.8 < x < 4.1

d)

1.3 < x < 5.4

89.

Order the angles from least to greatest.

a)

A, B, C

b)

C, B, A

c)

B, A, C

d)

B, C, A

90.

Order the angles from least to greatest.

a)

A, B, C

b)

B, A, C

c)

A, C, B

d)

C, A, B

91.

Order the sides from least to greatest.

a)

AB, BC, CA

b)

BC, AB, CA

c)

AB, AC, BC

d)

CA, AB, BC

92.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

Not enough information

93.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

94.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

95.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

96.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

97.

Is this a right triangle

a)

Yes

b)

No

98.

Round your answer to the nearest tenth.

a)

36.9^°

b)

31.0^°

c)

59.0^°

d)

53.1^°

99.

A building 62 feet tall casts a shadow 21 foot long. At what angle is the sun shining on the building?

a)

19.80

b)

18.71

c)

70.20

d)

71.29

100.

Round your answer to the nearest tenth.

a)

1747.5 ft.

b)

1319.3 ft.

c)

1428.2 ft.

d)

2747.5 ft.

101.

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?

a)

10 feet

b)

7.5 feet

c)

8.3 feet

d)

3.8 feet

102.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.

NOTE: you are NOT finding x. you are finding the other angle

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

103.

Which trigonometric function would you use to find "h", the height of the tree?

a)

sine

b)

cosine

c)

tangent

d)

none of these

104.

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles. What is the diagonal distance it has traveled from take off to its current position?

a)

15 miles

b)

38 miles

c)

17 miles

d)

20 miles

105.

You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat?

a)

11.1 ft.

b)

9 ft.

c)

7.4 ft.

d)

13.8 ft.

106.

What is the total angle degrees in a quadrilateral?

a)

180

b)

360

c)

100

d)

96

107.

What is the measure of the missing angle?

a)

$67\degree$

b)

$304\degree$

c)

$180\degree$

d)

$56\degree$

108.

Which of the following could be the measures of the angles of a quadrilateral?

a)

$50\degree,\ 70\degree,\ 90\degree,\ 100\degree$

b)

$70\degree,\ 73\degree,\ 48\degree,\ 90\degree$

c)

$87\degree,\ 53\degree,\ 80\degree,\ 140\degree$

d)

$90\degree,\ 99\degree,\ 130\degree,\ 23\degree$

109.

Select all the properties of a rhombus

a)

4 congruent sides

b)

opposite sides congruent and parallel

c)

4 right angles

d)

diagonals bisect each other

110.

Base angles of an isosceles trapezoid are _____.

a)

neither

b)

supplementary

c)

congruent

111.

What is the sum of the interior angles of a regular Octagon?

a)

1080 degrees

b)

180 degrees

c)

360 degrees

d)

135 degrees

112.

"Find each exterior angle of a regular pentagon."

Which formula would you use? (a)

Choose from the below words

e=360/n

Sum e=360

i= Sum i/n

n= 360/e

113.

What does n represent in a polygon formula?

a)

One interior angle

b)

Number of angles

c)

Number of sides

d)

One exterior angle

114.

What is the sum of the exterior angles of a 20-gon?

a)

180 degrees

b)

3240 degrees

c)

162 degrees

d)

360 degrees

115.

Find the measure of one exterior angle for a Regular Hexagon

a)

80^o

b)

60^o

c)

120^o

d)

105^o

116.

Find the sum of the exterior angles for a Regular Hexagon

a)

180⁰

b)

360⁰

c)

540⁰

d)

720⁰

117.

Find the sum of the interior angles
for a 12-gon

a)

1080^o

b)

2160^o

c)

1600^o

d)

1800^o

118.

What is the sum of the interior angles for a Regular Pentagon?

a)

360^o

b)

900^o

c)

540^o

d)

720^o

119.

This is the exterior angle measure for a Regular Pentagon.

a)

120^o

b)

108^o

c)

115^o

d)

72^o

120.

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

a)

21 m³

b)

64 m³

c)

32 m³

d)

11 m³

121.

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

a)

120 ft³

b)

96 ft³

c)

288 ft³

d)

192 ft³

122.

What is the formula for Volume of a Cone?

a)

V=π r³h

b)

V=π r²h

c)

V= $\frac{1}{3}$ π $r^2$ h

d)

V= $\frac{4}{3}$ π $r^3$

123.

Find the volume of the conical figure. Round to the nearest hundredth.

a)

14.13 in³

b)

56.55 in³

c)

169.65 in³

d)

113.10 in³

124.

A cone has a height of 6 centimeters and a radius of 5 centimeters. What is the volume of this shape? Round to the nearest hundredth.

a)

471.24

b)

565.49

c)

188.5

d)

157.08

125.