wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Geometry Concepts and Theorems MYA

Total questions: 150

Worksheet time: 5hrs 22mins

Name
Class
Date
1.

Which pair of angles are alternate interior angles when two parallel lines are cut by a transversal?

a)

Angles on the same side of the transversal and inside the lines

b)

Angles on opposite sides of the transversal and inside the lines

c)

Angles on the same side of the transversal and outside the lines

d)

Angles on opposite sides of the transversal and outside the lines

2.

If ABC\angle ABC and DEF\angle DEF are alternate interior angles and the lines are parallel, what can you conclude?

a)

ABC=DEF\angle ABC = \angle DEF

b)

ABC+DEF=180\angle ABC + \angle DEF = 180^\circ

c)

ABC=2DEF\angle ABC = 2 \angle DEF

d)

ABC\angle ABC and DEF\angle DEF are supplementary

3.

According to the Angle Addition Postulate, if point DD is in the interior of ABC\angle ABC , then:

a)

ABD+DBC=ABC\angle ABD + \angle DBC = \angle ABC

b)

ABD=DBC\angle ABD = \angle DBC

c)

ABDDBC=ABC\angle ABD - \angle DBC = \angle ABC

d)

ABD+DBC=180\angle ABD + \angle DBC = 180^\circ

4.

If 1\angle 1 and 2\angle 2 are congruent supplements, what is the measure of each angle?

a)

4545^\circ

b)

6060^\circ

c)

9090^\circ

d)

120120^\circ

5.

Which statement best describes an angle bisector?

a)

A ray that divides an angle into two congruent angles

b)

A line that divides a segment into two equal parts

c)

A line that is perpendicular to a segment at its midpoint

d)

A segment joining two non-adjacent vertices of a polygon

6.

Given the conditional statement: "If a figure is a square, then it has four right angles." What is the hypothesis?

a)

The figure has four right angles

b)

The figure is a square

c)

The figure is a rectangle

d)

The figure has equal sides

7.

The centroid of a triangle divides each median into what ratio?

a)

1:11:1

b)

1:21:2

c)

2:12:1

d)

3:13:1

8.

If ABC\angle ABC is bisected by ray BDBD , and mABD=35m\angle ABD = 35^\circ , what is mDBCm\angle DBC ?

a)

3535^\circ

b)

7070^\circ

c)

17.517.5^\circ

d)

4545^\circ

9.

If two angles are supplements and one measures xx^\circ , what is the measure of the other angle?

a)

9090^\circ

b)

180x180^\circ - x

c)

xx^\circ

d)

180+x180^\circ + x

10.

Which of the following is a counterexample to the statement: "All quadrilaterals are rectangles"?

a)

Square

b)

Parallelogram

c)

Rectangle

d)

Rhombus

11.

If GG is the centroid of ABC\triangle ABC with vertices A(0,0)A(0,0) , B(6,0)B(6,0) , and C(0,6)C(0,6) , what are the coordinates of GG ?

a)

(2,2)(2,2)

b)

(3,3)(3,3)

c)

(2,3)(2,3)

d)

(1,1)(1,1)

12.

Which of the following is the converse of the statement: "If two lines are parallel, then alternate interior angles are congruent"?

a)

If alternate interior angles are congruent, then two lines are parallel

b)

If two lines are not parallel, then alternate interior angles are not congruent

c)

If two lines are parallel, then alternate interior angles are not congruent

d)

If alternate interior angles are not congruent, then two lines are not parallel

13.

If 1\angle 1 and 2\angle 2 are congruent and supplementary, what is the value of m1m\angle 1 ?

a)

6060^\circ

b)

9090^\circ

c)

120120^\circ

d)

180180^\circ

14.

Which of the following is true about the centroid of a triangle?

a)

It is the intersection of the angle bisectors

b)

It is the intersection of the medians

c)

It is the intersection of the altitudes

d)

It is the intersection of the perpendicular bisectors

15.

If mABD=40m\angle ABD = 40^\circ and mDBC=30m\angle DBC = 30^\circ , what is mABCm\angle ABC by the Angle Addition Postulate?

a)

7070^\circ

b)

6060^\circ

c)

110110^\circ

d)

1010^\circ

16.

Which of the following is a conditional statement?

a)

All triangles have three sides.

b)

If a figure is a triangle, then it has three sides.

c)

Triangles are polygons.

d)

A triangle has three angles.

17.

If a ray bisects an angle of 8080^\circ , what is the measure of each resulting angle?

a)

8080^\circ

b)

4040^\circ

c)

2020^\circ

d)

6060^\circ

18.

Which of the following is NOT a property of an angle bisector?

a)

It divides an angle into two congruent angles

b)

It always passes through the centroid

c)

It starts at the vertex of the angle

d)

It creates two adjacent angles

19.

If two parallel lines are cut by a transversal, which angles are always congruent?

a)

Alternate interior angles

b)

Consecutive interior angles

c)

Adjacent angles

d)

Linear pair angles

20.

If m1=3x+10m\angle 1 = 3x + 10 and m2=5x6m\angle 2 = 5x - 6 are congruent supplements, what is the value of xx ?

a)

1212

b)

2222

c)

2424

d)

4848

21.

Which of the following best describes the conclusion of the conditional statement: "If a polygon is a rectangle, then it has four right angles"?

a)

The polygon is a rectangle

b)

The polygon has four right angles

c)

The polygon is a square

d)

The polygon has equal sides

22.

If the centroid of a triangle is at (4,2)(4,2) and one vertex is at (1,2)(1,2) , another at (7,2)(7,2) , what is the xx -coordinate of the third vertex?

a)

44

b)

33

c)

55

d)

22

23.

Which of the following is an example of a conditional statement?

a)

All squares are rectangles.

b)

If a number is even, then it is divisible by 2.

c)

Triangles have three sides.

d)

A rectangle has four sides.

24.

If mABD=2x+10m\angle ABD = 2x + 10 and mDBC=x+20m\angle DBC = x + 20 , and mABC=80m\angle ABC = 80^\circ , what is the value of xx ?

a)

1010

b)

2020

c)

3030

d)

4040

25.

Which of the following is true about alternate interior angles?

a)

They are always supplementary

b)

They are congruent if the lines are parallel

c)

They are always adjacent

d)

They are always vertical angles

26.

If the centroid of a triangle is at (2,3)(2,3) and two vertices are at (1,2)(1,2) and (4,5)(4,5) , what are the coordinates of the third vertex?

a)

(1,2)(1,2)

b)

(1,2)(1,2)

c)

(1,2)(1,2)

d)

(1,2)(1,2)

27.

If two angles are congruent supplements, what is the sum of their measures?

a)

9090^\circ

b)

180180^\circ

c)

360360^\circ

d)

270270^\circ

28.

Which of the following is the correct definition of an angle bisector?

a)

A line that divides a segment into two equal parts

b)

A ray that divides an angle into two congruent angles

c)

A line that is perpendicular to a segment at its midpoint

d)

A segment joining two non-adjacent vertices of a polygon

29.

If mABD=25m\angle ABD = 25^\circ and mDBC=65m\angle DBC = 65^\circ , what is mABCm\angle ABC ?

a)

4040^\circ

b)

9090^\circ

c)

100100^\circ

d)

120120^\circ

30.

Which of the following is a property of the centroid of a triangle?

a)

It is always outside the triangle

b)

It divides each median into a 2:12:1 ratio

c)

It is the intersection of the angle bisectors

d)

It is the intersection of the altitudes

31.

1 and 3 \angle1\ and\ \angle3\ are

​ (a)   angles

Choose from the below words

vertical

linear

adjacent

angry

32.
Question Image

Match the following angle pair to its relationship.

a)

3 & 6

1.

Complementary

b)

2 & 6

2.

Adjacent

c)

5 & 6

3.

Vertical

d)

2

4.

Right angle

e)

1 & 4

5.

No relationship

33.

The angle relationship shown is -  (a)  

Choose from the below words

supplementary angles

complementary angles

vertical angles

adjacent angles

34.
Question Image

Match the following

a)

∠1 and ∠4

1.

Vertical Angles

b)

∠1 and ∠7

2.

Consecutive Exterior Angles

c)

∠3 and ∠5

3.

Consecutive Interior Angles

d)

∠5 and ∠4

4.

Alternate Interior Angles

35.
Question Image

Use the diagram for the matching exercise.

a)

1 and 2

1.

Supplementary

b)

5 and 7

2.

Vertical

c)

2 and 6

3.

Corresponding

d)

3 and 5

4.

Alternate Interior

e)

1 and 7

5.

Alternate Exterior

36.

If the measure of ∠ADC is 

50 degrees, then what is the measure of ∠BDC?

37.
Question Image

Based on the graph, match each pair of angles with the relationship of their measures.

a)

1 & 7

1.

Congruent

b)

4 & 5

2.

Supplementary

c)

2 & 3

3.

Supplementary

d)

2 & 6

4.

Congruent

38.
Question Image

Match the following angle pair to its relationship.

a)

a & z

1.

Corresponding

b)

r & g

2.

Alternate Interior

c)

e & d

3.

Alternate Exterior

d)

a & d

4.

Linear Pair

e)

d & c

5.

Consecutive Exterior

39.

Find the measure of angle A,

40.

Find the angle indicated.

41.
Question Image

Use the map to match angle examples of each relationship.

a)

∠1 & ∠6

1.

vertical angles

b)

∠1 & ∠3

2.

corresponding angles

c)

∠1 & ∠17

3.

supplementary angles

d)

∠1 & ∠2

4.

linear pair

e)

∠1 & ∠18

5.

congruent angles

42.

b andg\angle b\ and\angle g are ​ ​ (a)   angles

Choose from the below words

Alternate Exterior

Alternate Interior

Consecutive Exterior

Bestie Angles

Vertical Angles

43.
Question Image

Match the following: Given the figure on the left, match the given paired angles to its correct name.

a)

\angle 12 and 6\angle6

1.

Alternate Exterior

b)

19 and 15\angle19\ and\ \angle15

2.

Alternate Interior

c)

17 and 22\angle17\ and\ \angle22

3.

Vertical Angles

d)

5 and 16\angle5\ and\ \angle16

4.

Corresponding Angles

e)

8 and 13\angle8\ and\ \angle13

5.

Same-Side Interior (Consecutive Interior)

44.

Same-Side Interior angles are ​ (a)   the lines, l and m, and on the ​ (b)   of the transversal, and they are only ​ (c)   if the lines are ​ parallel .

Angles 3 and 5 are a pair of Alternate Interior Angle, and another pair is angles ​ (d)   and ​ ​ (e)   .

Choose from the below words

inside

same side

supplementary

4

6

1

7

outside

45.

The angle relationship shown is -  (a)  

Choose from the below words

supplementary angles

complementary angles

vertical angles

adjacent angles

46.

Find the measure of angle A,

47.

Alternative Interior angles are ​ (a)   the lines, l and m, and on the ​ (b)   of the transversal, and they are only ​ (c)   if the lines are ​ parallel .

Angles 3 and 6 are a pair of Alternate Interior Angle, and another pair is angles ​ (d)   and ​ (e)   .

Choose from the below words

inside

opposite side

congruent

4

5

1

7

outside

same side

supplementary

48.
Question Image

Match the following angles

a)

∠1 and ∠7 are

1.

same side exterior angles

b)

∠2 and ∠5 are

2.

corresponding

angles

c)

∠1 and ∠6 are

3.

alternate exterior angles

d)

∠5 and ∠7 are

4.

vertical angles

49.

What is the Geometry Set up and the Equation for this problem?

Choose from the below words

(x+8)

mACBm\angle ACB  

mACDm\angle ACD  

(9x-18)

50.

What is the relationship of the Angles

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

vertical 

51.

Which pair of angles are alternate exterior angles?

a)

Angle 7 and Angle 4

b)

Angle 2 and Angle 6

c)

Angle 8 and Angle 1

d)

Angle 2 and Angle 8

52.

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

53.

Name the angle relationship.

a)

Consecutive Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

54.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

55.

State the angle relationship and find the measure of angle 2

a)

Alternate Exterior
127

b)

Alternate Exterior
52

c)

Alternate Interior
127

d)

Alternate Interior
52

56.

Find m ∠C.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

57.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

58.

A line that passes through parallel lines is called a ______________.

a)

vertical lines

b)

a passer through line

c)

transversal

d)

perpendicular line

59.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

60.

Name the angle relationship.

a)

Same Side Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

61.

Name the angle relationship.

a)

Same Side Interior

b)

Corresponding

c)

Alternate Interiors

d)

Linear Pairs

62.

What is necessary for the lines to be parallel?

a)

Same Slope

b)

Same intercept

c)

Negative Flip of the slope

d)

None of the above

63.

What does lines being parallel mean?

a)

The lines don't like each other.

b)

The lines always intersect?

c)

The lines never intersect.

d)

Nobody knows. It's a mystery of math.

64.

Two lines that have the same slope and intercept are:

a)

Parallel

b)

Perpendicular

c)

The same line

d)

None of the above

65.

Identify the correct statement.

a)

∠1 & ∠2
are vertical angles

b)

∠2 & ∠4
are vertical angles

c)

∠5 & ∠8
are vertical angles

d)

∠1 & ∠5
are vertical angles

66.

What is the value of x?

a)

13

b)

6.2

c)

29.8

67.

Name the angle relationship.

a)

Consecutive Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

68.

A line that passes through parallel lines is called a ______________.

a)

vertical lines

b)

a passer through line

c)

transversal

d)

perpendicular line

69.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

70.
a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

71.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

72.
a)

75*

b)

40*

c)

55*

d)

50*

73.

Angles on the same side of a transversal, in corresponding positions, and are congruent are called _____.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Adjacent Angles

d)

Corresponding Angles

74.



(a)  

75.

What does SSS stand for?

a)

Small Small Small

b)

Side Side Side

c)

Small Side Small

d)

Sam's Silly Side

76.

What does SSS prove?

a)

Nothing

b)

Triangles similar

c)

Triangles congruent

d)

Triangle angle sum

77.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

78.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

79.

State if the two triangles are congruent.  If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No

80.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

SSS

d)

Not Possible

81.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

equiangular scalene

c)

equiangular isosceles

d)

equiangular equilateral

82.

Are the two triangles congruent?

a)

Not enough information

b)

Yes, by SSA

c)

Yes by AAS

d)

Yes By ASA

83.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

84.

Figures that have the same _____ and size are congruent triangles. 

a)

corresponding

b)

corners

c)

angles

d)

shape

85.

Classify the triangle shown in the picture by its angles.

a)

Obtuse

b)

Right

c)

Acute

d)

Equilateral

86.

Classify the triangle shown in the picture by its sides.

a)

Equilateral

b)

Scalene

c)

Obtuse

d)

Isosceles

87.

Classify the triangle shown in the picture by its sides.

a)

Isosceles

b)

Obtuse

c)

Equilateral

d)

Scalene

88.

Solve for x

a)

x = 12

b)

x = 4

c)

x = 3.33

d)

x = 10

89.

Find the measure of Angle A.

a)

40°40\degree

b)

140°140\degree

c)

80°80\degree

d)

100°100\degree

90.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

They're the same side!!!!!! 

91.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

equiangular scalene

c)

equiangular isosceles

d)

equiangular equilateral

92.

Which statement indicates that the triangles in each pair are congruent.

a)

∆LMK ≅ ∆LMT

b)

∆LMK ≅ ∆TMK

c)

∆LTKM ≅ ∆LMT

d)

∆TMK ≅ ∆TLK

93.

Remember order matters. Which of the following is true?

a)

∆FGH ≅ ∆VHW

b)

∆HFG ≅ ∆HWV

c)

∆HGF ≅ ∆VHW

d)

∆FGH ≅ ∆VWH

94.

Find the measure of the indicated angle. 

a)

34

b)

46

c)

62

d)

36

95.

Choose a correct equation to find x.

a)

4x - 2 + 12x + 1 = 75

b)

4x - 2 + 75 = 12x + 1

c)

4x - 2 + 75 + 12x + 1 = 180

d)

4x - 2 - 75

96.

Solve for x.

a)

6

b)

8

c)

15

d)

13

97.

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

a)

ΔCFT\Delta CFT  

b)

ΔFTC\Delta FTC  

c)

ΔTFC\Delta TFC  

d)

ΔFCT\Delta FCT  

98.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

99.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

no, not enough information

b)

yes, SAS

c)

yes, ASA

d)

yes, HL

100.

State if the triangles are congruent and why.

a)

AAS

b)

SAS

c)

ASA

d)

SSS

101.

State if the triangles are congruent and why.

a)

Not congruent

b)

AAS

c)

SSS

d)

ASA

102.

State if the triangles are congruent and why.

a)

AAS

b)

ASA

c)

Not congruent

d)

SSS

103.

Including the Reflexive Property, which theorem proves the triangles are congruent.

a)

ASA

b)

SSS

c)

SAS

d)

AAS

104.

Using the Reflexive Property, which theorem proves that the triangles are congruent.

a)

SAS

b)

AAS

c)

ASA

d)

HL

105.

What additional information is needed to prove the triangles congruent by SSS?

a)

A

b)

B

c)

C

d)

D

106.

What is the relationship of the angles?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same-Side interior

107.

What is the relationship of the angles?

a)

Alternate Interior

b)

Alternate Exterior

c)

Same-Side Interior

d)

Corresponding

108.

What is the relationship of the angles?

a)

Alternate Interior

b)

Alternate Exterior

c)

Same-Side Interior

d)

Corresponding

109.

What is the relationship of the angles?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same-Side Interior

110.

What are supplementary angles?

a)

Two angles that are on the same side of the transversal

b)

Two angles that add up to equal 90°

c)

Two angles that add up to 180°

d)

Two angles that are corresponding

111.

What are complementary angles?

a)

Two angles that add up to 180°

b)

Two angles that are alternate interior angles

c)

Two angles that add up to 90°

d)

Two angles that are same-side interior

112.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

113.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

114.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

115.

Which triangle congruence proves that the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

116.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

117.

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

a)

ASA

b)

AAS

c)

SAS

d)

AAA

118.

What does congruent mean?

a)

Same size, but different shape

b)

Different size and different shape

c)

Same size and the same angle measure

d)

Different size, but same shape

119.

According to the SSS Theorem.  A triangle with side lengths 2, 4, and 6 would be congruent to which other triangle?

a)

1,2,3

b)

4,5,6

c)

6,4,2

d)

4,8,12

120.

Which of the following is NOT an abbreviation used for Triangle Congruence Theorems?

a)

ASA

b)

SSA

c)

SSS

d)

SAS

121.

Which theorem is used to prove that two triangles are congruent if two angles and the included side are equal?

a)

SSS (Side-Side-Side)

b)

SAS (Side-Angle-Side)

c)

ASA (Angle-Side-Angle)

d)

AAS (Angle-Angle-Side)

122.

Complete the congruence statement.

a)

ΔCRP\Delta CRP

b)

ΔPCR\Delta PCR

c)

ΔRPC\Delta RPC

d)

ΔPRC\Delta PRC

123.

∆ABC ≅ ∆XYZ, which is true?

a)

AB ≅ XY

b)

AB ≅ YX

c)

AB ≅ XZ

d)

BC ≅ CB

124.

Which pieces of information could you use to prove the triangles congruent? (Select multiple.)

a)

m∠Q = m∠S

b)

m∠P = m∠R

c)

m∠POQ = m∠ROS

d)

SO = QO

e)

RO = PO

125.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

126.

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

127.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

They're the same side!!!!!! 

128.

What congruence theorem proves triangle ABD is congruent to triangle CBE?

a)

AAS

b)

ASA

c)

SAS

d)

NEI

129.

If the two triangles are congruent, answer with the criterion that proves them congruent. 

a)

SSS

b)

Not Congruent

c)

HL

d)

SAS

130.

AD is a perpendicular bisector. Solve for x

a)

8

b)

4

c)

20

d)

11

131.

Solve for the value of x.

a)

x = 10

b)

x = 20

c)

x = 3

d)

x = 45

132.
a)

QR = 4

b)

QR = 20

c)

QR = 11

d)

QR = 5

133.

Angle ABC measures 34o. What is the measure of angle CBD?

a)

17o

b)

34o

c)

68o

134.

Name the perpendicular bisector.

a)

Line CP

b)

Segment AP

c)

Segment AC

d)

Line AB

135.

D is the circumcenter, find EH

a)

15

b)

16

c)

17

d)

19

136.

VT is a perpendicular bisector of triangle XYZ. What is the total length of XY?

a)

30

b)

20

c)

10

d)

15

137.

if mVTYm\angle VTY  is 7x+20, what is the value of x?

a)

13

b)

10

c)

20

d)

15

138.

FT is a perpendicular bisector of ΔPIG.\Delta PIG.  Solve for x

a)

6.58

b)

18.75

c)

3.12

139.

Solve for x

a)

18

b)

32

c)

20

140.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

141.

What is x?

a)

15

b)

23

c)

2

d)

92

142.

What is the average number of students in each class if there are 250 students in 10 classes?

a)

240

b)

25

143.

Mandy earns money by delivering groceries. She earned
$4 on Monday, $7 on Tuesday, $5 on Wednesday, $4 on
Thursday, and $5 on Friday. What is the average amount
of money Mandy earned per day?

a)

25

b)

5

c)

21

144.

Find the weighted average P when the coordinates of A, B & C are -2, 4 & 9 respectively,

given that Point B weighs twice as much as point A and point C weighs four times as much as point A.

Note: write your answer as a single number or P = your answer

(a)  

145.

Find the coordinate of A in Segment AB given that B is located at -5,

the weighted average P = 7, and point A weighs twice as much as point B.

Note: enter your answer as a single number

(a)  

146.

How do you find the average of a set of scores?

a)

To find the average, sum all the scores and divide by the number of scores.

b)

Multiply all the scores and then divide by the number of scores.

c)

Add the highest and lowest scores and divide by two.

d)

Count the number of scores and take the largest one.

147.

How do you calculate a weighted average?

a)

Multiply each score by its corresponding weight, sum all the products, and then divide by the total of the weights.

b)

Add all the scores together and divide by the number of scores.

c)

Take the highest score and multiply it by the total number of scores.

d)

Calculate the average of the weights and then apply it to the scores.

148.

What is the significance of weights in calculating averages?

a)

Weights determine the influence of each score on the overall average; higher weights mean that score has a greater impact.

b)

Weights are used to adjust the scores to fit a normal distribution.

c)

Weights are irrelevant in calculating averages and can be ignored.

d)

Weights only apply to statistical models and not to simple averages.

149.

What is a weighted average?

a)

A method of calculating the mean of a dataset without considering the importance of values.

b)

An average that considers the relative importance of each value in a dataset, calculated by multiplying each value by its weight and dividing by the total weight.

c)

A statistical measure that only takes the highest value in a dataset into account.

d)

A technique used to find the median of a dataset by arranging values in order.

150.

Why would you use a weighted average instead of a traditional average calculation?

a)

Because you have a lot of numbers

b)

Because the value you are trying to calculate is made up of categories which each have different weights.