Free Printable Geometry Final Review

1.

Which image shows the construction of a perpendicular bisector?

a)

b)

c)

d)

2.

Which of the following shows the construction of an angle bisector?

a)

b)

c)

d)

3.

What is a right angle?

a)

An a angle that measures more than 90 degrees.

b)

An angle that measures less than 90 degrees.

c)

An angle that measures exactly 90 degrees.

d)

An angle that measures 180 degrees.

4.

Which angle type is pictured?

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

5.

a)

14

b)

10

c)

12

d)

13

6.

a)

30

b)

6

c)

12

d)

18

7.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

8.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

9.

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

a)

counterexample

b)

conditional

c)

converse

d)

conjecture

10.

Which of the following is the basis for inductive reasoning?

a)

definitions and accepted properties

b)

facts and rules

c)

laws of logic

d)

observed patterns

11.

What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73

a)

32, 62

b)

42, 63

c)

43, 63

d)

42, 62

12.

What are the next two numbers in this pattern?
12, 17, 22, 27, ___, ___

a)

32, 37

b)

30, 37

c)

30, 33

d)

32, 35

13.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

14.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

15.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

16.

A line that passes through 2 or more lines is called a ______________.

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

17.

Identify the correct statement.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

18.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

19.

What is the justification (reason)?

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Substitution

20.

Which of the following is NOT a triangle congruence criteria?

a)

SAS

b)

AAS

c)

SSA

d)

ASA

21.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

22.

What is reason #3?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

23.

Use the congruence statement to find the missing part of the statement

a)

WV

b)

WU

c)

VU

d)

WB

24.

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

25.

A triangle ABC ,AB = 7.8 cm ,AC= 7 cm and BC = 6 cm is....

a)

Isosceles Triangle

b)

Scalene triangle

c)

Equilateral triangle

d)

Right angled Triangle

26.

Identify the type of triangle

a)

Isosceles Triangle

b)

Equilateral triangle

c)

Scalene triangle

d)

Right angled Triangle

27.

In an equilateral triangle measure of each angle is

a)

90 degrees

b)

80 degrees

c)

60 degrees

d)

25 degrees

28.

Perpendicular lines intersect at

a)

60 degrees

b)

80 degrees

c)

90 degrees

d)

120 degrees

29.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

angle bisector

30.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

31.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

32.

Solve for x.

a)

16

b)

11

c)

50

d)

6

33.

Find the measure of Angle NJZ

a)

50 degrees

b)

40 degrees

c)

38 degrees

d)

76 degrees

34.

Find HG

a)

28

b)

14

c)

41

d)

7

35.

What is the length of DC

a)

4

b)

1

c)

2

d)

3

36.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

37.

Name a midsegment of ⌂ABC

a)

segment AC

b)

segment DE

c)

segment AB

d)

segment BC

38.

Slopes of perpendicular lines are...

a)

negative reciprocals

b)

opposites

c)

identical

d)

flipped

39.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

40.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

41.

The altitudes of a triangle intersect at the _________________________.

a)

Centriod

b)

Circumcenter

c)

Incenter

d)

Orthocenter

42.

The orthocenter can be outside the triangle if the triangle is ...

a)

obtuse

b)

acute

c)

iscolese

d)

right

43.

10. What type of lines are shown

a)

perpendicular bisectors

b)

medians

c)

altitudes

d)

angle bisectors

44.

Find the measure of ONE exterior angle of a regular decagon.

a)

36

b)

10

c)

18

d)

40

45.

A polygon with six sides is called a(n) ______________.

a)

hexagon

b)

pentagon

c)

decagon

d)

septagon

46.

The sum of the interior angles of a polygon is __________________ where n is the number of sides.

a)

(n - 2)180

b)

(n - 1)180

c)

360

d)

(n - 3)(180)

47.

The sum of the exterior angles of a polygon is __________________ where n is the number of sides.

a)

360

b)

n

c)

(n - 2)180

d)

(n - 1)180

48.

In the Polygon Interior Angle Sum Theorem, what does $n$ represent?

a)

The measure of the largest interior angle

b)

The number of sides of the polygon

c)

Nothing

d)

The number of triangles that compose the polygon

49.

Which of the following statements is false?

a)

BD and AC are perpendicular

b)

BD and AC are congruent

c)

∠A and ∠C are congruent

d)

BD bisects AC

50.

Solve for Angle 1 and Angle 2.

a)

1= 92, 2 = 46 degrees

b)

1 = 118, 2 = 118 degrees

c)

1 = 92, 2 = 92

d)

1 = 136, 2 = 100

51.

Find the value of y.

a)

65

b)

110

c)

75

d)

None of these.

52.

The diagonals in a kite __________.

a)

are perpendicular

b)

are congruent

c)

bisect each other

53.

Base angles of an isosceles trapezoid are _____.

a)

neither

b)

supplementary

c)

congruent

54.

The legs of an isosceles trapezoid are _____.

a)

parallel

b)

perpendicular

c)

congruent

d)

skew

55.

Find the midsegment.

a)

14

b)

28

c)

12

d)

16

56.

Find the measure of ∠K:

a)

114°

b)

124°

c)

77°

d)

66°

57.

FILL IN:

A parallelogram has both pairs of opposite angles _____________.

a)

Congruent

b)

Complementary

c)

Supplementary

58.

FILL IN:

Consecutive angles of a parallelogram are ________________.

a)

Congruent

b)

Supplementary

c)

Complementary

59.

TRUE OR FALSE:

Squares, rhombuses, and rectangles are considered parallelograms.

a)

True

b)

False

60.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

61.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

62.

In the picture, side AB must be congruent to which side?

a)

AE

b)

AD

c)

CD

d)

BC

63.

The figure is a parallelogram.

Solve for x.

a)

4

b)

12

c)

5

d)

2

64.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

65.

a² + b² = c^{2
a = 9 b = 40}

a)

c = 41

b)

c = 65

c)

c = 25

d)

c = 5

66.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

67.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

68.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

69.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

70.

Fill in the blank...
SOH ___ TOA

a)

COH

b)

CAH

c)

COA

d)

CHA

71.

Define: INCENTER OF A TRIANGLE

a)

the intersection point of the three angle bisectors of a triangle

b)

when three or more lines intersect at a single point

c)

the intersection point of the three perpendicular bisectors of a triangle

d)

the point of intersection of three or more lines

72.

Which side is adjacent to angle x?

a)

1

b)

2

c)

3

73.

What is the ratio for Tangent

a)

Opp/Hyp

b)

Adj/Opp

c)

Opp/Adj

d)

Hyp/Opp

74.

Which trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

75.

Which trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

76.

Find the measure of the missing angle.

a)

28.1

b)

61.9

c)

25.2

d)

56.1

77.

Find the measure of AB.

a)

11.6

b)

6.99

c)

14.3

d)

5.7

78.

Find AB

a)

10

b)

8

c)

6.1

d)

4.9

79.

Identify the Law of Sines

a)

$\sin^2x+\cos^2x=1$

b)

$\frac{\sin\left(A\right)}{a}=\frac{\sin\left(B\right)}{b}=\frac{\sin\left(C\right)}{c}$

c)

$\sin\left(A\right)\sin\left(B\right)\sin\left(C\right)=1$

d)

Soh Cah Toa

80.

Find XZ

a)

16.004 meters

b)

544.165 meters

c)

34.7 meters

d)

1204.165 meters

81.

Which of the following formulas shows the Law of Cosines?

a)

c² = a² + b² - 4ac + cosA

b)

c² = a² - b² - 2abcosC

c)

c² = a² + b² - 2abcosC

d)

(cos A)/a = (cos B)/b

Geometry Final Review

Total questions: 81

Worksheet time: 3hrs 30mins

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