Free Printable 25-26 Geometry Semester 1 Review

1.

What is a name for this line?

a)

b)

c)

d)

2.

Name the figure above. Check all that apply.

a)

Ray ON

b)

Line Segment ON

c)

Line NO

d)

Line Segment NO

3.

Refer to the diagram above.
Correctly name the plane. Choose all that apply.

a)

plane EFC

b)

plane ABC

c)

plane $Z$

d)

plane BFD

4.

Name 4 collinear points

a)

HMNO

b)

IKNO

c)

MJOL

d)

HNKI

5.

True or False: $\overrightarrow{AC}$ and $\overrightarrow{CB}$ are opposite rays.

a)

True

b)

False

6.

True or False: point F lies on plane J.

a)

True

b)

False

7.

Name the intersection of planes M and N.

a)

line GE

b)

C

c)

line BC

d)

M x N

8.

Name the intersection of line HE and plane DGF.

a)

line EF

b)

E

c)

line HE

d)

line GE

9.

a)

Line

b)

Ray

c)

Line Segment

d)

Right Angle

10.

a)

Line

b)

Ray

c)

Line Segment

d)

Right Angle

11.

a)

Line

b)

Ray

c)

Line Segment

d)

Right Angle

12.

What is the intersection of line q and plane G?

a)

$\overline{AB}$

b)

B

c)

line p

d)

plane G

13.

The intersection of plane R and plane P is ?

a)

line\ AB

b)

$\overline{AB}$

c)

plane P

d)

D

14.

What is another name for plane P? (check all that apply)

a)

plane FDG

b)

plane PDA

c)

plane BDE

d)

plane CBE

15.

True or False, any three points are always coplanar?

(a)

16.

True or False; three points are always collinear?

(a)

17.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

18.

Which angles are vertical angles?

a)

$\angle8\ \&\ \angle7$

b)

$\angle8\ \&\ \angle6$

c)

$\angle8\ \&\ \angle5$

19.

1. Find X

a)

28

b)

5

c)

55

d)

40

20.

Refer to the diagram above.
Correctly name the plane. Choose all that apply.

a)

plane EFC

b)

plane ABC

c)

plane $Z$

d)

plane BFD

21.

From which movie is this line?

a)

Rogue One

b)

A New Hope

c)

Empire Strikes Back

d)

Return of the Jedi

22.

Solve for x.

a)

16

b)

11

c)

50

d)

6

23.

$\overrightarrow{EJ}\$ bisects $\angle DEF$ , $m\angle DEJ=5x+7$ , $m\angle JEF=8x-8$ .
Find x.

a)

5

b)

2

c)

6

d)

13

24.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

25.

What is the correct definition of an angle?

a)

one single ray

b)

two rays that meet at a single endpoint

c)

two lines that meet at a single endpoint

d)

two line segments that meet at a single endpoint

26.

Solve for x

a)

x = 77

b)

x = 7.5

c)

x = 8

d)

x = 18

27.

Find the value of ∠A.

a)

25°

b)

30°

c)

35°

d)

90°

28.

Solve

a)

22°

b)

42°

c)

242°

d)

12°

29.

Solve for x

a)

x = 8

b)

x = 6

c)

x = 4

d)

x = 2

30.

Find $m\angle2.$

a)

$65\degree$

b)

$180\degree$

c)

$115\degree$

31.

Find HG.

a)

8

b)

9

c)

10

d)

11

32.

Find ST.

a)

11

b)

12

c)

13

d)

14

33.

RM=

a)

RM=6

b)

RM=3

c)

RM=12

d)

RM=9

34.

Find AC

a)

7

b)

8

c)

22

d)

23

35.

Find AB.

a)

69

b)

20

c)

19

d)

11

36.

XY =

a)

6

b)

28

c)

11

d)

7

37.

Find AC

a)

7

b)

8

c)

22

d)

23

38.

Find DE

a)

5

b)

6

c)

20

d)

21

39.

If GH = 8 and HI = 17, Find GI

a)

8

b)

9

c)

24

d)

25

40.

If JK = 7 and
LJ = 20, find KL

a)

12

b)

13

c)

27

d)

28

41.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

42.

a)

8

b)

12

c)

-4

d)

-8

43.

Solve

a)

50°

b)

58°

c)

115°

d)

226°

44.

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

45.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

46.

Find the value of ∠A.

a)

39 degrees

b)

49 degrees

c)

51 degrees

d)

59 degrees

47.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

48.

a)

x = 6°

b)

x = 7°

c)

x = 12°

d)

x = 144°

49.

a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

50.

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

a)

x = 13

m∠RST = 155°

m∠RSU = 102°

b)

x = 3

m∠RST = 35°

m∠RSU = 12°

c)

x = 22

m∠RST = 263°

m∠RSU = 183°

d)

x = 8

m∠RST = 95°

m∠RSU = 57°

51.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle.

a)

m∠1 = 110° and m∠2 = 70°

b)

m∠1 = 109° and m∠2 = 71°

c)

m∠1 = 70° and m∠2 = 110°

d)

m∠1 = 71° and m∠2 = 109°

52.

∠K and ∠L are complementary angles.

If m∠K = (3x + 3)° and m∠L = (10x -- 4)°, find the measure of each angle.

a)

m∠K = 24° and m∠L = 66°

b)

m∠K = 66° and m∠L = 24°

c)

m∠K = 40° and m∠L = 50°

d)

m∠K = 30° and m∠L = 60°

53.

Find the midpoint of the segment with the endpoints:(-7, -13) and (-11, -5)

a)

(-9, -9)

b)

(-3, -4)

c)

(-3, 4)

d)

(-4, -3)

54.

Which calculation would determine the length of the segment that connects

\left(-2,7\right)

and

\left(3,-5\right)

a)

$d=\sqrt{\left(3--2\right)^2+\left(-5-7\right)^2}$

b)

$d=\sqrt{\left(3--5\right)^2+\left(-2-7\right)^2}$

c)

$d=\sqrt{\left(3--7\right)^2+\left(-2-5\right)^2}$

55.

Determine the Midpoint and the Length of the graphed Line Segment:

a)

$M\left(\frac{3}{2},-\frac{5}{2}\right)$ and $d=\sqrt{74}$

b)

$M\left(\frac{7}{2},-\frac{5}{2}\right)$ and $d=\sqrt{24}$

c)

$M\left(-2,0\right)$ and $d=\sqrt{74}$

56.

Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

a)

y = (-3/5)x + 2

b)

y = (-3/5)x -2

c)

y = (3/5)x + 2

d)

y = (5/3) + 2

57.

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

a)

y = (-1/3)x - 1

b)

y = (1/3)x - 2

c)

y = -3x + 12

d)

y = 3x - 1

58.

Use the Distance Formula to find the distance between:

(-2,-1) and (6,5)

(a)

59.

Use the Distance Formula to find the distance between:

(3,7) and (-5,-8)

(a)

60.

Find the length of the side CD.

a)

9 units

b)

√34

c)

√5

d)

3 units

61.

Find the midpoint: $\left(2,-7\right),\left(10,1\right)$

a)

(-3,6)

b)

(6,-3)

c)

(4,4)

d)

none

62.

Find the midpoint: $\left(3,9\right),\left(-1,-5\right)$

a)

$\left(-1,-2\right)$

b)

$\left(2,7\right)$

c)

$\left(-2,-7\right)$

d)

$\left(1,2\right)$

63.

Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

a)

b)

c)

d)

64.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

65.

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

a)

3

b)

4

c)

5

d)

7

66.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

67.

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

68.

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

a)

(-1, 13)

b)

(13, 1)

c)

(13, -1)

d)

(5, 13)

69.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

70.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

71.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

72.

What is the distance between the two points? Round to the nearest tenth.

a)

6.3

b)

6.5

c)

6.7

d)

16

73.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

74.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

75.

Identify the correct statement.

a)

∠1 & ∠2
are corresponding angles

b)

∠2 & ∠4
are corresponding angles

c)

∠5 & ∠8
are corresponding angles

d)

∠1 & ∠5
are corresponding angles

76.

Identify the correct statement.

a)

∠B=82°

b)

∠B=98°

c)

∠B=180°

d)

∠B=8°

77.

Identify the correct statement.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

78.

Identify the correct statement.

a)

∠J=105°

b)

∠J=75°

c)

∠J=15°

d)

∠J=90°

79.

What is the measure of ∠6?

a)

55

b)

155

c)

45

d)

135

80.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

81.

a)

x = 56

b)

x = 66

c)

x = 156

d)

x = 166

82.

Find y.

a)

130

b)

50

83.

What angle corresponds to $\angle4$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle3$

d)

$\angle2$

84.

What angle corresponds to $\angle1$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle3$

d)

$\angle2$

85.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

86.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

87.

What value of x will make m parallel to n?

a)

133

b)

166

c)

19

88.

Lines A and B are parallel lines cut by a transversal. Find the value of x.

a)

x = 8

b)

x = 13

c)

x = 74

d)

x = 106

89.

A pair of parallel lines is cut by a transversal. What are the measures of the two marked angles?

a)

40 and 40

b)

65 and 115

c)

40 and 140

d)

75 and 105

90.

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

91.

If angle 6 is 25 degrees, how many degrees is angle 7?

a)

25 degrees

b)

50 degrees

c)

90 degrees

d)

155 degrees

92.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

93.

Classify the triangle by sides and angles (choose two answers).

a)

Right triangle

b)

Acute triangle

c)

Obtuse triangle

d)

Equilateral triangle

e)

Isosceles triangle

94.

Classify the triangle by both sides and angles (choose two answers).

a)

Right triangle

b)

Acute triangle

c)

Obtuse triangle

d)

Isosceles triangle

e)

Scalene triangle

95.

Classify this triangle by its angles.

a)

right

b)

obtuse

c)

acute

d)

equiangular

96.

a)

acute

b)

obtuse

c)

right

d)

equiangular

97.

a)

A

b)

B

c)

C

d)

D

98.

Classify the following triangle in as many ways as possible.

a)

Right, Equilateral

b)

Obtuse, Scalene

c)

Obtuse, Equilateral

d)

Right, Scalene

99.

a)

acute

b)

obtuse

c)

right

d)

equiangular

100.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Scalene Triangle

101.

a)

A

b)

B

c)

C

d)

D

102.

Name this triangle.

a)

Right, Isosceles

b)

Scalene, acute

c)

Isosceles, acute

d)

Equilateral, obtuse

103.

Classify the triangle by sides and angles (choose two answers).

a)

Acute triangle

b)

Obtuse triangle

c)

Equilateral triangle

d)

Isosceles triangle

e)

Scalene triangle

104.

a)

acute

b)

obtuse

c)

right

d)

equiangular

105.

Name this triangle

a)

Acute, Scalene

b)

Obtuse, Scalene

c)

Right, Isosceles

d)

Acute, Equilateral

106.

Which would be the best classification for the triangle shown?

a)

right isosceles

b)

obtuse scalene

c)

obtuse isosceles

d)

right scalene

107.

Classify this triangle by its angles.

a)

right

b)

obtuse

c)

isosceles

d)

equiangular

108.

a)

equilateral

b)

isosceles

c)

scalene

109.

a)

equilateral

b)

isosceles

c)

scalene

110.

a)

equilateral

b)

isosceles

c)

scalene

111.

A triangle with at least 2 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Scalene Triangle

112.

A triangle with NO congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Scalene Triangle

113.

Which postulate can be used to prove the triangles congruent?

a)

ASA

b)

SAS

c)

AAS

d)

SSS

114.

Which additional piece of information would be needed to prove the triangles congruent using ASA?

a)

m<A = m<F

b)

AB = FE

c)

m<C = m<D

d)

AC = FD

115.

Which postulate can be used to prove triangle GEF is congruent to triangle GJH?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

116.

For the given picture, EF = BC and AB = DE. Which postulate can be used to prove the triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

HL

117.

For the given triangles, AD = CB and EC = EA. Which postulate can be used to prove the triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

118.

For the given picture, what additional piece of information would be needed to prove triangle BAC is congruent to triangle DAC by SAS?

a)

m<BAC = m<DAC

b)

m<BDA = m<DCA

c)

m<ABC = m<ADC

d)

AC = AC

119.

For the given picture, point C is the midpoint of AD and BE. Which postulate can be used to prove triangle BAC congruent to triangle DEC?

a)

SSS

b)

ASA

c)

SAS

d)

HL

120.

For the given triangles, if LO=12 and OM=16, find the length of PQ.

a)

12

b)

16

c)

4

d)

28

121.

Which congruent postulate proves the triangles congruent?

a)

ASA

b)

SSA

c)

SAS

d)

AAS

122.

Find the value of y for the given picture.

a)

4

b)

5.75

c)

3.86

d)

2.86

123.

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

a)

WV

b)

UW

c)

VU

d)

WB

124.

$\Delta ABC\ \cong\Delta?$

a)

$\Delta EFD$

b)

$\Delta DFE$

c)

$\Delta DEF$

d)

$\Delta FED$

125.

Which symbol means congruent?

a)

$\approx$

b)

$\cong$

c)

$=$

d)

$\ne$

126.

Given: ∆MAN ≅∆DEN

Then by CPCTC,

$\angle M\cong\angle$

a)

∠N

b)

∠D

c)

∠E

d)

∠A

127.

Use the congruency statement to answer the following: by CPCTC ∠F = ___

a)

∠H

b)

∠I

c)

∠G

d)

not congruent to another angle

128.

if ∆ABC≅∆XYZ, then by CPCTC which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

129.

If ∆PIG ≅ ∆COW, then by CPCTC WO≅?

a)

GI

b)

PI

c)

PG

130.

by CPCTC

∠A ≅

a)

∠M

b)

∠N

c)

∠L

131.

△ABC ≅ △DFE.

By CPCTC what angle in △DFE is congruent to ∠B?

a)

∠D

b)

∠F

c)

∠E

d)

∠A

e)

∠C

132.

Find y.

a)

2

b)

3

c)

4

d)

5

133.

Find x.

a)

5

b)

4

c)

3

d)

2

134.

If $\Delta EHG\cong\Delta KFC$ , which statement is true?

a)

$\overline{EH}\cong\overline{FK}$

b)

$\overline{HG}\ \cong\ \overline{KF}$

c)

$\overline{EG}\ \cong\ \overline{KC}$

d)

$\angle E\cong\angle C$

135.

Congruent triangles have 3 congruent ______ and 3 congruent _____.

a)

sides and sides

b)

sides and angles

c)

angles and angles

d)

parts and triangles

136.

If ∆LMK ≅ ∆LMT, then

∠K ≅ ____

a)

MT

b)

∠T

c)

∠M

d)

∠L

137.

Determine whether the given triangles are congruent.

a)

congruent

b)

not congruent

138.

Determine whether the given triangles are congruent.

a)

congruent

b)

not congruent

139.

Determine whether the given triangles are congruent.

a)

congruent

b)

not congruent

140.

Determine whether the given triangles are congruent.

a)

congruent

b)

not congruent

141.

Determine whether the given triangles are congruent.

a)

congruent

b)

not congruent

142.

Determine whether the given triangles are congruent.

a)

congruent

b)

not congruent

143.

State if the three numbers can be measures of the sides of a triangle.
$8,10,20$

a)

Yes

b)

No

144.

State if the three numbers can be measures of the sides of a triangle.
$10,18,12$

a)

Yes

b)

No

145.

State if the three numbers can be measures of the sides of a triangle.
$18,7,10$

a)

Yes

b)

No

146.

State if the three numbers can be measures of the sides of a triangle.
$6,5,8$

a)

Yes

b)

No

147.

State if the three numbers can be measures of the sides of a triangle.
$6,10,8$

a)

Yes

b)

No

148.

State if the three numbers can be measures of the sides of a triangle.
$11,7,21$

a)

Yes

b)

No

149.

State if the three numbers can be measures of the sides of a triangle.
$9,3,10$

a)

Yes

b)

No

150.

State if the three numbers can be measures of the sides of a triangle.
$11,1,12$

a)

Yes

b)

No

151.

State if the three numbers can be measures of the sides of a triangle.
$9,12,22$

a)

Yes

b)

No

152.

State if the three numbers can be measures of the sides of a triangle.
$6,6,3$

a)

Yes

b)

No

153.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$10,7$

a)

$5<x<16$

b)

$4<x<14$

c)

$4<x<17$

d)

$3<x<17$

154.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$12,12$

a)

$1<x<24$

b)

$4<x<24$

c)

$4<x<23$

d)

$0<x<24$

155.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$8,12$

a)

$4<x<16$

b)

$5<x<20$

c)

$4<x<17$

d)

$4<x<20$

156.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$12,7$

a)

$5<x<18$

b)

$6<x<19$

c)

$5<x<19$

d)

$7<x<19$

157.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$10,6$

a)

$4<x<16$

b)

$5<x<15$

c)

$6<x<15$

d)

$4<x<14$

158.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$7,11$

a)

$5<x<18$

b)

$4<x<18$

c)

$7<x<18$

d)

$5<x<17$

159.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$9,7$

a)

$6<x<14$

b)

$2<x<16$

c)

$2<x<14$

d)

$3<x<14$

160.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$9,6$

a)

$5<x<14$

b)

$3<x<15$

c)

$3<x<14$

d)

$4<x<14$

161.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$10,8$

a)

$2<x<18$

b)

$3<x<17$

c)

$2<x<14$

d)

$2<x<17$

162.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$8,9$

a)

$1<x<17$

b)

$1<x<13$

c)

$1<x<15$

d)

$2<x<15$

163.

The circumcenter is the point at which all the _____ of a triangle meet.

a)

medians

b)

altitudes

c)

perpendicular bisectors

d)

angle bisectors

164.

The incenter is the point at which all the ____ of a triangle meet.

a)

perpendicular bisectors

b)

medians

c)

altitudes

d)

angle bisectors

165.

The CENTROID is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

166.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

167.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

altitude

168.

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

a)

angle bisector

b)

altitude

c)

altitude

d)

median

169.

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

a)

altitude

b)

perpendicular bisector

c)

median

d)

angle bisector

170.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

171.

The place where all three angle bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

172.

The place where all three perpendicular bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

173.

The place where all three medians meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

174.

Find the value of x

a)

x=28

b)

x=14

c)

x=23

d)

x=46

175.

If m∠CAP = 34° , find ∠CAB.

a)

A. 17°

b)

B. 34°

c)

C. 68°

d)

D. 90°

176.

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

177.

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

a)

7

b)

14

c)

21

d)

Not Enough Informaion

178.

The mid segment of the triangle is 5x-1. Find the value of x.

a)

x = 6

b)

x = 7

c)

x = 11.8

d)

x = 12.4

179.

Identify the center.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

180.

Identify the center

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

181.

Identify the center.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

182.

Which point is equidistant from the sides?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

183.

Which point is equidistant from the vertices?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

184.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

a)

4

b)

8

c)

12

d)

Not Enough Information

185.

Point O is the circumcenter of the triangle. Find OB

a)

OB = 4

b)

OB = 6

c)

OB = 5.1

d)

Not enough information

186.

Point O is the circumcenter of the triangle. Find AC. (hint: EC is part of a right triangle)

a)

AC = 4.45

b)

AC = 10

c)

AC = 8.9

d)

Not enough information

187.

AD = 12. Find AG

a)

6

b)

8

c)

18

d)

12

188.

BE = 15. Find EG.

a)

10

b)

5

c)

22.5

d)

20

189.

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

190.

[Angle Bisectors and Incenter]
If PY is 6 and CY is 8, what is PC?

a)

10

b)

16

c)

24

d)

9

191.

[Angle Bisectors and Incenter]
If BX is 2, what is BZ?

a)

2

b)

3

c)

4

d)

5

192.

[Perpendicular Bisectors and Circumcenter]
If AF is 6, what is AC?

a)

6

b)

10

c)

16

d)

12

193.

[Perpendicular Bisectors and Circumcenter]
If GF is 6 and GC is 11, what is FC?

a)

9.2

b)

10.5

c)

6.7

d)

8.1

194.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

195.

Describe the Transformation

a)

Translation

b)

Rotation

c)

Reflection

196.

Congruent geometric figures have the:

a)

Same size

b)

Sides Equal

c)

Same Size and Same Shape

d)

Angles Equal

197.

Identify the transformation.

a)

Reflection across y axis

b)

Reflection across x-axis

c)

180 Rotation

d)

Translation 2 units down

198.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

199.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

200.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate -90 degrees around the origin

b)

Rotate -90 degrees around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees about the origin.

201.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

202.

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) --> (x - 9, y + 3)

b)

(x, y) --> (x + 9, y - 3)

c)

(x, y) --> (x + 3, y - 9)

d)

(x, y) --> (9x, 3y)

203.

Determine the degrees of rotation from each petal.

a)

20°

b)

72°

c)

45°

d)

60°

204.

Which of the following is the algebraic representation for a dilation?

a)

(x, y) → (x, 3y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (x, y - 3)

d)

(x, y) → (.5x, .4y)

205.

Reflect the image across x = -3

a)

I' (-1,-1) P' (-2,2) S' (-4,1) W' (-4,3)

b)

I' (-1,-1) P' (-2,-2) S' (-4,1) W' (-4,3)

c)

I' (-1,-1) P' (-2,-2) S' (-4,-1) W' (-4,3)

d)

I' (-1,-1) P' (-2,-2) S' (-4,1) W' (-4,-3)

206.

Reflect the image across y = -x

a)

A' (1,-3) J' (-3,-4) T' (2,5) S' (-2,4)

b)

A (1,-3) J (3,-4) T (2,5) S (-2,4)

c)

A' (1,-3) J' (3,-4) T' (2,-5) S' (-2,-4)

d)

A' (1,-3) J (3,-4) T' (2,5) S' (-2,-4)

207.

What does the algebraic representation shown below represent?

(x, y) -> (-x, y)

a)

Each point of a figure will be reflected across the y-axis.

b)

Each point of a figure will be reflected across the x-axis.

c)

Each point of a figure will be rotated $90\degree$ clockwise.

d)

Each point of a figure will be rotated $90\degree$ counterclockwise.

208.

a)

(x,y) -> (2x, 2y)

b)

(x,y) -> (0.5x, 0.5y)

c)

(x,y) -> ( $\frac{1}{3}$ x, $\frac{1}{3}$ y)

d)

(x,y) -> (0.4x, 0.4y)

209.

Trapezoid PQRS is rotated 180° about the origin to form trapezoid P'Q'R'S'. Which statement is true?

a)

The size of trapezoid P'Q'R'S' is 180 times the size of trapezoid PQRS.

b)

Trapezoid P'Q'R'S' is mapped onto trapezoid PQRS.

c)

The side and angle measures of trapezoid PQRS are preserved.

210.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

left 2, up 9

b)

right 2, down 9

c)

left 2, down 9

d)

left 2, up 5

211.

Triangle RST is translated 6 unit to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transformation?

a)

(x, y) → (6x, -4y)

b)

(x, y) → (-6x, 4y)

c)

(x, y) → (x+6, y-4)

d)

(x, y) → (x-6, y+4)

212.

Which of the following is NOT a rigid/isometric transformation?

a)

Dilation

b)

Reflection

c)

Rotation

d)

Translation

213.

What happens to a point $\left(x,y\right)$ after a 180 degree rotation?

a)

(-y, -x)

b)

(y, -x)

c)

(-x, -y)

d)

(-y, x)

214.

What similarity theorem would prove that these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

Side Splitter

215.

Are the triangles similar?

a)

Yes

b)

No

216.

What similarity theorem would you use to prove these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

BUCK∼

217.

Solve for f.

a)

6

b)

4

c)

3

d)

8

218.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

219.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

220.

Find side length X.

a)

22.5

b)

10

c)

9

d)

7.5

221.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

222.

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?

a)

9 m

b)

15.2 m

c)

12 m

d)

17.5 m

223.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

224.

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

a)

equal

b)

congruent

c)

proportional

d)

none of these

225.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

226.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

227.

Determine if the triangles are similar. Justify.

a)

Yes, by SSS.

b)

Yes, by SAS. Scale Factor is 1:2.

c)

Yes, by SAS. Scale Factor is 3:1.

d)

No, not similar.

228.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?

a)

10

b)

12

c)

15

d)

18

229.

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

a)

36

b)

10

c)

18

d)

40

230.

Find the measure of ONE interior angle of a regular dodecagon.

a)

150

b)

120

c)

1800

d)

20

231.

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)

232.

Find the sum of the interior angles of a nonagon.

a)

1260

b)

900

c)

1620

d)

180

233.

Solve for x.

a)

100

b)

120

c)

125

d)

130

234.

Find the measure of one interior angle in regular 25-gon. Round your answer to the nearest tenth if necessary.

a)

164.3⁰

b)

167.1⁰

c)

165.6⁰

d)

166.7⁰

235.

Find the value of x.

a)

540⁰

b)

121⁰

c)

134⁰

d)

360⁰

236.

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

237.

A polygon's interior angles add up to 2700. How many sides does the polygon have?

a)

17

b)

15

c)

19

d)

11

238.

Find the sum of the angle measures in this polygon.

a)

1080

b)

540

c)

1440

d)

720

239.

Carly built a Ferris wheel using her construction toys. The frame of the wheel is a regular 16-gon. Find the sum of the angle measures of the Ferris wheel and the measure of one angle.

a)

2520 and 16

b)

2520 and 14

c)

2880 and 16

d)

2880 and 14

240.

Find the missing angle.

a)

247^o

b)

67^o

c)

157^o

d)

203^o

241.

What is the sum of exterior angles of a pentagon?

a)

180

b)

360

c)

540

d)

760

242.

What is the formula to find one exterior angle in a regular polygon?

a)

360/n

b)

(n-2)180

c)

it's always 360^o

d)

180/n

e)

((n-2)180)/n

243.

Find the value of X.

a)

100°

b)

110°

c)

150°

d)

168°

244.

The following polygon is a Regular Pentagon. Find the measure of EACH EXTERIOR angle of the polygon.

a)

50°

b)

55°

c)

72°

d)

355°

245.

Find the value of y.

a)

125

b)

135

c)

140

d)

110

246.

Solve for x

a)

15

b)

16

c)

17

247.

Solve for the m<C

a)

93

b)

96

c)

102

248.

Solve for x

a)

7

b)

9

c)

11

d)

14

25-26 Geometry Semester 1 Review

Total questions: 248

Worksheet time: 21hrs 40mins

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