Free Printable Geometry S1 Final Review

1.

Supplementary angles add to 180 degrees

a)

Always

b)

Sometimes

c)

Never

2.

A linear pair forms complementary angles

a)

Always

b)

Sometimes

c)

Never

3.

Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.

a)

8

b)

16

c)

41

d)

82

4.

Angles 1 and 2 are what angle pair?

a)

Complementary

b)

Acute

c)

Adjacent

d)

Vertical

5.

Angles 1 and 3 are what angle pair?

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

6.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

7.

What polygon is pictured?

a)

hexagon

b)

dodecagon

c)

pentagon

d)

triangle

8.

Find the distance between (-12, 1) and (12, -1).

a)

24.05

b)

24.06

c)

24.07

d)

24.08

9.

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.

10.

Find the value of x.

a)

13

b)

8.6

c)

5

d)

130

11.

What is the value of x?

a)

37

b)

72

c)

108

d)

18

12.

What is the name of this ray?

a)

Ray AB

b)

Ray BA

c)

Ray ABC

d)

Ray AC

13.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

14.

A plane is named by...

a)

Any 1 point on the plane.

b)

Any 3 collinear points on the plane or a lowercase script letter.

c)

Any 3 non-collinear points on the plane or an uppercase script letter.

d)

All points on the plane that aren't part of a line.

15.

Two lines intersect at a ....

a)

angle

b)

point

c)

line

d)

intersection

16.

Two planes intersect at a...

a)

line

b)

point

c)

plane

d)

letter

17.

What geometric term could be represented a floor?

a)

point

b)

line

c)

plane

d)

arc

18.

What is this tool called and what is it used for?

a)

A ruler used to measure lines.

b)

A protractor used to measure lines.

c)

A ruler used to measure angles.

d)

A protractor used to measure angles.

19.

What is the measure of the angle shown in the picture?

a)

30 degrees

b)

35 degrees

c)

140 degrees

d)

145 degrees

20.

What is the measure of the angle shown in the picture?

a)

20 degrees

b)

27 degrees

c)

30 degrees

d)

153 degrees

21.

What is the measure of 〈FOE?

a)

10 degrees

b)

20 degrees

c)

30 degrees

d)

40 degrees

22.

Which image shows the construction of a perpendicular bisector?

a)

b)

c)

d)

23.

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

a)

b)

c)

d)

24.

Which image shows a bisector?

a)

b)

c)

d)

25.

Which of the following shows parallel lines?

a)

b)

c)

d)

26.

Which image shows the construction of congruent segments?

a)

b)

c)

d)

27.

Which of these is a set of perpendicular lines?

a)

b)

c)

d)

28.

Which construction illustrates “copy an angle”?

a)

b)

c)

d)

29.

The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a point on the line

c)

a perpendicular to a given line from a point NOT on the line

d)

an angle congruent to a given angle

30.

When copying line segment AB using a straight edge and a compass, the compass should be used to:

a)

Draw an arc above point A

b)

Measure the length of segment AB

c)

Draw an arc between point A and point B

d)

Measure half the length of line segment AB

31.

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

32.

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

33.

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

34.

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

35.

Find x

a)

80

b)

100

c)

90

d)

180

36.

What value of x proves that line p is parallel to line r?

a)

14

b)

12.5

c)

15

d)

25

37.

What value of x proves that line p is parallel to line r?

a)

14

b)

12.5

c)

15

d)

25

38.

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

39.

What is the name of the angle relationship between angle 1 and angle 3?

a)

Consecutive interior angles

b)

Vertical Angles

c)

Alternate exterior Angles

d)

Corresponding Angles

40.

What is the measure of ∠3?

a)

55

b)

155

c)

45

d)

135

41.

Solve for x

a)

22

b)

26

c)

24

d)

23

42.

Find the measure of the indicated angle.

a)

34

b)

46

c)

62

d)

36

43.

What do the interior angles in a triangle have a sum of?

a)

180

b)

90

c)

360

d)

270

44.

What is the measure of the missing angle?

a)

82

b)

43

c)

55

d)

180

45.

Find the value of x.

a)

-8

b)

83

c)

95

d)

14

46.

Find the value of x.

a)

8

b)

13

c)

25

d)

3.33333

47.

Parallel lines have what kind of slope?

a)

The same

b)

Opposite Reciprocals

c)

Opposite

d)

None

48.

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

49.

Which of these represents slope-intercept form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

50.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

51.

y = 5/7x +2
y = 5/7x - 30
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Coincide

52.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Coincide

53.

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

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

54.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

55.

What does "b" represent in y=mx+b

a)

y-intercept

b)

perpendicular

c)

nothing

d)

slope

56.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

57.

If / 1= 2x + 22 and / 8 = 3x – 16, what value of x makes a || b?

a)

11

b)

17

c)

25

d)

38

58.

If / 3= 32 and / 5 = 7x + 8, what value of x makes a || b?

a)

3

b)

4

c)

7

d)

20

59.

Angles 1 and 5 are what type of angles?

a)

Corresponding angles

b)

Same side interior angles

c)

Same side exterior angles

d)

Alternate interior angles

60.

Angles 1 and 8 are what type of angles?

a)

Corresponding angles

b)

Same side interior angles

c)

Same side exterior angles

d)

Alternate exterior angles

61.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not enough information

62.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

63.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

64.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not enough information

65.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not enough information

66.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not enough information

67.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

68.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

69.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

70.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not enough information

71.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not enough information

72.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

73.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

74.

Which of the following is not a valid reason to prove congruent triangles?

a)

SSA

b)

ASA

c)

SAS

d)

SSS

75.

Complete the congruence statement.

a)

A

b)

B

c)

C

d)

D

76.

Choose the correct congruence statement.

a)

A

b)

B

c)

C

d)

D

77.

Choose the correct item to make the congruence statement true.

a)

A

b)

B

c)

C

d)

D

78.

Which of the following statements are need to prove the triangles congruent by the given theorem/postulate?

a)

A

b)

B

c)

C

d)

D

79.

Which of the following statements are need to prove the triangles congruent by the given theorem/postulate?

a)

A

b)

B

c)

C

d)

D

80.

Which of the following statements are need to prove the triangles congruent by the given theorem/postulate?

a)

A

b)

B

c)

C

d)

D

81.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

82.

What is the "statement" for step 3 of the proof?

a)

HA=HA

b)

HA=AH

c)

MA=AM

d)

MA=MA

83.

What is the correct congruence statement? ΔLEU≅______

a)

ΔLGE

b)

ΔLEG

c)

ΔELG

d)

Not Congruent

84.

What other piece of information is needed to prove the triangles congruent by SSS?

a)

A

b)

B

c)

C

d)

D

85.

All of the following prove triangles congruent except

a)

ASA

b)

SSS

c)

AAA

d)

SAS

86.

∆ABC≅∆XYZ

which is true? (Note: the answers should have line segments over the letters)

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

87.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

88.

Find the value of x by using the exterior angle theorem.

a)

A

b)

B

c)

C

d)

D

89.

Solve for x.

a)

7

b)

9

c)

10

d)

-11

90.

What is the value of y?

a)

14

b)

4

c)

6

d)

7

91.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

92.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

93.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

94.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

95.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

96.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.

97.

What is the "statement" for step 2 of the proof? (There should be a line segment symbol above each answer below)

a)

AD≅AD

b)

AD≅DA

c)

HD≅ND

d)

HA≅AN

98.

What is the "statement" for step 3 of the proof? (Note: There should be a line segment symbol above each answer)

a)

MA≅AT

b)

HA≅AH

c)

MA≅AM

d)

MA≅MA

99.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

100.

What is the reason for statement 4?

a)

CPCTC

b)

ASA

c)

AAS

d)

SAS

101.

Which one is this?

a)

HL

b)

SSS

c)

SAS

d)

ASA

102.

a)

HL

b)

SAS

c)

SSS

d)

ASA

103.

Remember order matters. Which of the following is true?

a)

∆FGH $\equiv$ ∆VHW

b)

∆HFG $\equiv$ ∆HWV

c)

∆HGF $\equiv$ ∆VHW

d)

∆FGH $\equiv$ ∆VWH

104.

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and why.

a)

yes, ASA

b)

yes, AAS

c)

yes, SAS

d)

Not congruent, not enough information.

105.

Which of the following is not a triangle congruence theorem?

a)

SAS

b)

ASA

c)

AAS

d)

SSA

106.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

107.

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

a)

yes, SSS

b)

yes, ASA

c)

yes, AAS

d)

yes, HL

108.

What are the different parts of an isosceles triangle?

a)

1 leg, 2 vertex angles, 1 base, and 2 base angle

b)

1 leg, 2 vertex angles, 2 bases, and 1 base angle

c)

2 legs, 1 vertex angle, 1 base, and 2 base angles

d)

2 legs, 1 vertex angle, 2 bases, and 1 base angle

109.

What is x?

a)

12

b)

11

c)

8

d)

6

110.

What is the value of x?

a)

51

b)

49

c)

78

111.

Which segment is the base?

a)

Segment AB

b)

Segment BC

c)

Segment AC

112.

Which angle is the vertex angle?

a)

<C

b)

<A

c)

<B

113.

If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.

a)

sides

b)

vertices

c)

angles

d)

measures

114.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

115.

Find the circumcenter of $\Delta EFG$ with $E\left(6,2\right),\ F\left(6,-2\right),\ and\ G\left(8,-2\right)$ .

a)

$\left(7,0\right)$

b)

$\left(6,-2\right)$

c)

$\left(8,2\right)$

d)

ummm.....

116.

In $\Delta QRS$ , $\overline{TU}$ is the midsegment between sides $\overline{QR}$ and $\overline{QS}$ . If $RS=24$ and $m\angle QUT=70\degree$ , what is $TU$ and $m\angle QSR$ ?

a)

$TU=24\ and\ m\angle QSR=140\degree$

b)

$TU=12\ and\ m\angle QSR=70\degree$

c)

$TU=12\ and\ m\angle QSR=140\degree$

d)

$TU=24\ and\ m\angle QSR=70\degree$

117.

$m\angle A=14x-3,\ m\angle B=3x-14,\ and\ m\angle C=32-2x.$ List the sides of $\Delta ABC$ in order from shortest to longest.

a)

$\angle A,\ \angle B,\ \angle C$

b)

$\angle C,\ \angle B,\ \angle A$

c)

$\angle A,\ \angle C,\ \angle B$

d)

$\angle B,\ \angle C,\ \angle A$

118.

What is the range of possible values for x?

a)

$7<x<43$

b)

$x>7$

c)

$x<43$

d)

umm....

119.

$P,\ Q,\ and\ R$ are three different points. $PQ=3x+2,\ QR=x,\ RP=x+2,\ and\ x>0$ . List the angles of $\Delta PQR$ in order from largest to smallest.

a)

$\angle P,\ \angle Q,\ \angle R$

b)

$\angle R,\ \angle Q,\ \angle P$

c)

$\angle Q,\ \angle P,\ \angle R$

d)

$\angle R,\ \angle P,\ \angle Q$

120.

Identify all the parallel segments.

a)

$\overline{BD}\parallel\overline{AE}$ $\overline{BF}\parallel\overline{CE}$ $\overline{AC}\parallel\overline{DC}$

b)

$BD\parallel AE$ $BF\parallel CE$ $AC\parallel DC$

c)

$\overline{DF}\parallel\overline{AC}$ undefined

d)

$CE\parallel BF$ $AC\parallel FD$ $EA\parallel BD$

121.

If $m\angle DBC=73\degree$ , what is the relationship between AD and CD?

a)

$AD=CD$

b)

$AD>CD$

c)

$AD<CD$

d)

ummm....

122.

$\overrightarrow{DF}$ bisects $\angle EDG$ . Find the value of x.

a)

19

b)

4.75

c)

170

d)

ummm....

123.

What is the range of possible values of x?

a)

5

b)

$5<x<18$

c)

$x>5$

d)

$x<18$

124.

Find the length of $\overline{AB}$ , given that $\overline{DB}$ is a median of the triangle and $AC=26$ .

a)

26

b)

90

c)

180

d)

13

125.

$\Delta ABC\$ has vertices $A\left(0,10\right),\ B\left(4,\ 10\right),\ and\ C\ \left(0,\ 4\right)$ . Find the orthocenter.

a)

$\left(0,10\right)$

b)

$\left(2,7\right)$

c)

$\left(7,2\right)$

d)

$\left(10,0\right)$

126.

In $\Delta ABC$ , centroid D is on median $\overline{AM}$ . $AD=x+4$ and $DM=2x-4$ . Find $AM$ .

a)

4

b)

8

c)

12

d)

16

127.

$\overline{AB}$ is the perpendicular bisector of $\overline{IK}$ . Name two lengths that are equal.

a)

$AB\ \ and\ \ IK$

b)

$IJ\ \ and\ JK$

c)

$AJ\ \ and\ JB$

d)

$JK$

128.

$Q$ is equidistant from the sides of $\angle TSR$ . Find $m\angle RST$ .

a)

$4x+5=8x-11$

b)

$4x=16$

c)

$x=4$

d)

$m\angle RST=42\degree$

129.

In $\Delta ACE$ , G is the centroid and $BE=18$ . Find $BG$ and $GE$ .

a)

$BG=12,\ GE=6$

b)

$BG=6,\ GE=12$

c)

$BG=9,\ GE\ =\ 9$

d)

$BE=18$

130.

Two sides of a triangle have lengths 6 and 8. What lengths are possible for the third side?

a)

$2<x<14$

b)

$6+8>x$

c)

$6+x>8$

d)

$x=10$

131.

Find the value of x.

a)

70

b)

35

c)

11.7

d)

ummm....

132.

Points B, D, and F are midpoints of the sides of $\Delta ACE$ . $EC=30$ and $DF=17$ . Find AC.

a)

34

b)

60

c)

47

d)

13

133.

$\overline{AC}$ and $\overline{BD}$ are perpendicular bisectors of each other. Find $BC,\ AE,\ DB,\ and\ DC.$

a)

$BC=13,\ AE=5,\ DB=24,\ DC=13$

b)

$BC=12,\ AE=5,\ DB=12,\ DC=12$

c)

$BC=13,\ AE=10,\ DB=12,\ DC=13$

d)

$BC=12,\ AE=5,\ DB=24,\ DC=12$

134.

Where can the perpendicular bisectors of the sides of a right triangle intersect.

a)

Inside the triangle

b)

On the triangle

c)

Inside or On the triangle

d)

Inside, on, or outside the triangle

135.

Where can the bisectors of the angles of an obtuse triangle intersect.

a)

Inside the triangle

b)

Outside the triangle

c)

Inside or Outside the triangle

d)

Inside, on, or outside the triangle

136.

Where can the lines containing the altitudes of an obtuse triangle intersect?

a)

Inside the triangle

b)

Inside or on the triangle

c)

Outside the triangle

d)

Inside, On, or Outside the triangle

137.

Where can the medians of a triangle intersect?

a)

Inside the triangle

b)

Outside the triangle

c)

Inside or Outside the triangle

d)

Inside, On, or Outside the triangle

138.

Name the point of concurrency of the perpendicular bisectors of a triangle.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

139.

Name the point of concurrency of the angle bisectors of a triangle.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

140.

Name the point of concurrency of the medians of a triangle.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

141.

Name the point of concurrency of the altitudes of a triangle.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

142.

Which two statements contradict each other?

a)

$\overline{PQ}$ lies on plane $PQR$ / Point S lies on plane

b)

$\overline{QS}$ lies on plane $PQR$ / does not lie on plane

c)

Point S lies on plane undefined/ undefined does not lie on plane undefined

d)

ummm....

143.

What is the negation of the statement "Miguel has three cats"?

a)

Miguel does not have three cats.

b)

Miguel has 1 cat.

c)

Miguel does not have any cats.

d)

Miguel has three dogs.

144.

List the sides in order from longest to shortest.

a)

$KL,\ JL,\ JK$

b)

$JK,\ JL,\ KL$

c)

$JK,\ KL,\ JL$

d)

$KL,\ JK,\ JL$

145.

Which property is used to solve proportions?

a)

Cross Products Property

b)

Cross Ratios Property

c)

The X Property

d)

What is a Property?

146.

$\frac{4}{5}=\frac{12}{15}=\frac{-28}{-35}$ is an example of a(n)

a)

Extended Proportion

b)

Extended Ratio

c)

Extremes

d)

Means

147.

3:5:9 is an example of a(n)

a)

Extended Proportion

b)

Extended Ratio

c)

Extremes

d)

Means

148.

The numerator of the first ratio and the denominator of the second in a proportion is an example of a(n)

a)

Extended Proportion

b)

Extended Ratio

c)

Extremes

d)

Means

149.

The denominator of the first ratio and the numerator of the second in a proportion is an example of a(n)

a)

Extended Proportion

b)

Extended Ratio

c)

Extremes

d)

Means

150.

$\frac{5}{x}=\frac{x}{20}$ is an example of a(n)

a)

Geometric Mean

b)

Indirect Measurement

c)

Proportion

d)

Ratio

151.

Finding the height of a flagpole using its shadow, your height, and your shadow is an example of a(n)

a)

Geometric Mean

b)

Indirect Measurement

c)

Proportion

d)

Ratio

152.

$\frac{5}{25}=\frac{4}{20}$ is an example of a(n)

a)

Geometric Mean

b)

Indirect Measurement

c)

Proportion

d)

Ratio

153.

2:7 is an example of a(n)

a)

Geometric Mean

b)

Indirect Measurement

c)

Proportion

d)

Ratio

154.

A map is an example of a(n)

a)

Scale Drawing

b)

Scale Factor

c)

Similar Figures

d)

Similar Polygons

155.

1 in : 100 mi is an example of a(n)

a)

Scale Drawing

b)

Scale Factor

c)

Similar Figures

d)

Similar Polygons

156.

$A\sim B$ is an example of a(n)

a)

Scale Drawing

b)

Scale Factor

c)

Similar Figures

d)

Similar Polygons

157.

$ABCD\sim WXYZ$ is an example of a(n)

a)

Scale Drawing

b)

Scale Factor

c)

Similar Figures

d)

Similar Polygons

158.

Which are the postulates and theorems used to prove triangles are similar?

a)

SSS~, SAS~, AA~

b)

SSS, SAS, AA

c)

SSS~, ASA~, SAS~

d)

SSS, ASA, SAS

159.

Solve the equation for x:

a)

x = -1/4

b)

x = 1/3

c)

x = -3/4

d)

x = 3/4

160.

A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to the length of the model?

a)

18:1

b)

1:18

c)

9:6

d)

6:9

161.

The measures of the angles of a triangle are in the extended ratio 3:5:7. What is the measure of the smallest angle?

a)

12

b)

36

c)

60

d)

84

162.

What similarity theorem would prove that these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

Side Splitter

163.

Figure TQRS ∼ BCDE. What are the pairs of congruent angles?

a)

∠R ≅ ∠D
∠Q ≅ ∠E
∠T ≅ ∠B
∠S ≅ ∠C

b)

∠R ≅ ∠D
∠S ≅ ∠B
∠Q ≅ ∠C
∠T ≅ ∠E

c)

∠S ≅ ∠D
∠R ≅ ∠E
∠T ≅ ∠B
∠Q ≅ ∠C

d)

∠R ≅ ∠D
∠S ≅ ∠E
∠T ≅ ∠B
∠Q ≅ ∠C

164.

What is geometric mean of 4 and 9?

a)

5

b)

6

c)

7

d)

8

165.

Are the triangles similar?

a)

Yes, by SSS~

b)

Yes, by SAS~

c)

Yes, by AA~

d)

No

166.

Are the triangles similar?

a)

Yes, by SSS~

b)

Yes, by SAS~

c)

Yes, by AA~

d)

No

167.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

168.

Find missing side

a)

5

b)

7

c)

9

d)

11

169.

Find the missing length indicated. Leave your answer in simplest radical form.

a)

60

b)

100

c)

80

d)

20

170.

a)

x = 8; y = 14

b)

x = 8; y = 6√6 (or 14.7)

c)

x = 6√2 (or 8.5); y = 14

d)

x = 6√2 (or 8.5); y = 6√6 (or 14.7)

171.

Find y.

a)

144

b)

18

c)

72

d)

12

172.

Solve for X

a)

7.5

b)

4.8

c)

13.33

d)

5

173.

Find the value of x.

a)

6.92

b)

18.67

c)

2.625

d)

13.71

174.

Triangle SQR is similar to triangle SPT. Which segment corresponds to segment QR?

a)

A) SP

b)

B) ST

c)

C) PR

d)

D) PT

Geometry S1 Final Review

Total questions: 174

Worksheet time: 8hrs 47mins

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