Free Printable Geometry 1st Semester Review (through 5-3)

1.

Find ST.

a)

11

b)

12

c)

13

d)

14

2.

Find AC

a)

7

b)

8

c)

22

d)

23

3.

Let B be between A and C.

AC = 3x + 3 , AB = -1 + 2x, and

BC = 11. Find the value of x.

a)

7

b)

24

c)

13

d)

14

4.

Solve for x

a)

x = 2

b)

x = 4

c)

x = 6

d)

x = 8

5.

Find m∠NME.

a)

50°

b)

58°

c)

115°

d)

226°

6.

Given m∠JHG = 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°

7.

Solve for x

a)

x = 77

b)

x = 7.5

c)

x = 8

d)

x = 18

8.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

9.

This point divides a line segment into 2 equal parts.

a)

point

b)

vertex

c)

midpoint

d)

segment

10.

a)

RM=6, MS=6

b)

RM=3, MS=3

c)

RM=3, MS=6

d)

RM=6, MS=3

11.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

12.

Find the distance between (-4, 5) and (7, 18).

a)

15.96

b)

16.08

c)

16.23

d)

17.03

13.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

14.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

15.

If an obtuse angle is bisected, the resulting angles are ________

a)

sometimes acute

b)

always acute

c)

always obtuse

d)

right angles

16.

The type of reasoning where a person makes conclusions based on observations and patterns is called...

a)

Inductive reasoning

b)

Deductive reasoning

c)

Conjecture

d)

Experiments

17.

What is a conjecture?

a)

A statement believed to be true based on observations.

b)

An example which disproves an hypothesis.

c)

the performance of tricks that are seemingly magical

18.

What is the next term in the sequence:
1, 1, 2, 3, 5, 8, 13, ...

a)

17

b)

20

c)

21

d)

24

19.

Where would the next red square be?

a)

bottom left

b)

top right

c)

top left

d)

bottom right

20.

Used to prove that a conjecture is false.

a)

Counterexample

b)

Inductive Reasoning

c)

Concluding statement

d)

Conjecture

21.

Which is a counterexample of:

The difference of two numbers is less than the greater number.

a)

(5) - (2) = 3

b)

(-5) - (4) = -9

c)

(2) - 0 = 2

d)

(3) - (3) = 0

22.

If the nonshared sides of two adjacent angles form a pair of opposite rays, then the angles form _____________

a)

vertical angles

b)

complementary angles

c)

acute angles

d)

a linear pair

23.

Find the value of x

a)

16

b)

8

c)

32.8

d)

39.2

24.

What is the supplement angle to 42°?

a)

48°

b)

138°

c)

100°

d)

Not possible

25.

Solve for x.

a)

10.5

b)

11.5

c)

34

d)

34.5

26.

Find the value of t

a)

-1

b)

5

c)

5.14

d)

7

27.

If ∠H and ∠J are complementary, and the measure of ∠H is 35°, what is the measure of ∠J?

a)

145

b)

55

c)

60

d)

65

28.

What is the hypothesis of the given Conditional Statement?

"If Jimmy goes on vacation, then he will go to Orlando. "

a)

Jimmy will go to Orlando

b)

Jimmy goes on vacation

c)

Jimmy will go to Orlando

d)

Who is Jimmy?

29.

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Negation

30.

Given, "If I have a Siberian Husky, then I have a dog."

Identify the inverse.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

If I have a dog, then I have a Siberian Husky.

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

31.

Given, "If I have a Siberian Husky, then I have a dog."

Identify the contrapositive.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

If I have a dog, then I have a Siberian Husky.

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

32.

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.

33.

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

Identify the inverse.

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.

34.

What is the contrapositive to this?

"If food is in the oven, then it will be cooked."

a)

If the food is not cooked, then it is not in the oven.

b)

If the food is not in the oven, then it is not cooked.

c)

If the food is cooked, then its in the oven.

d)

If food is not in the oven, then its cooked.

35.

A biconditional statement..

a)

is an "if/then" statement

b)

uses the phrase "if and only if"

c)

is the first part of a statement

d)

is the second part of a statement

36.

What is the biconditional that matches the statement:

"A right angle is an angle with 90 degrees."

a)

If an angle has 90 degrees, then it is a right angle.

b)

If an angle is a right angle, then it has 90 degrees.

c)

An angle is a right angle if and only if it has 90 degrees.

37.

Which type of reasoning is a process of reasoning using given and revious known facts to reach a logical conclusion.

a)

A Proof

b)

Intelligent Thought

c)

Inductive Reasoning

d)

Deductive Reasoning

38.

Using the Law of Detatchment and the following true statements, what is a true conclusion.

*If you can play the piano, then you can play an musical instrument.

*Kiyo can play the piano.

a)

Kiyo can play a musical instrument.

b)

Kiyo can read music.

c)

The piano is a musical instument.

39.

Use the Law of Syllogism to write a true conditional statment given the two true statements.

If Zachary eats pasta for dinner, then he goes to bed early.

If it is Tuesday night, then Zachary eats pasta for dinner.

a)

If it is Tuesday night, then Zachary goes to bed early.

b)

If Zachary eats pasta for dinner, then is it Tuesday night.

c)

If Zachary goes to bed early, then he goes to bed early.

40.

Name the property that the statement illustrates.

If ∠A ≅ ∠B and ∠B ≅ ∠C, then ∠A ≅ ∠C.

a)

Reflexive Property of Congruence

b)

Transitive Property of Congruence

c)

Definition of Congruence

d)

Symmetric Property of Congruence

41.

Name the property that the statement illustrates.

∠G ≅ ∠G

a)

Symmetric Property of Congruence

b)

Definition of Congruence

c)

Reflexive Property of Equality

d)

Reflexive Property of Congruence

42.

Name the property that the statement illustrates.

If m∠A + m∠B = 70° and m∠B = 40°, then m∠A + 40° = 70°

a)

Substitution Property

b)

Transitive Property

c)

Definition of Complementary Angles

d)

Transitive Property

43.

Name the property that the statement illustrates.

If ∠K ≅ ∠B, then ∠B ≅ ∠K

a)

Symmetric Property

b)

Definition of Congruence

c)

Definition of Angle Bisector

d)

Reflexive Property

44.

Angles R and C are...

a)

Alternate Interior Angles

b)

Same-Side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

45.

Angles D and P are...

a)

Alternate Interior Angles

b)

Same-Side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

46.

Given m∠ 1 = 27^o,find m∠ 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

47.

Angles C and P are...

a)

Alternate Interior Angles

b)

Same-Side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

48.

Solve for y.

a)

y = 55

b)

y = 35

c)

y = 70

d)

y = 70

49.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

50.

Which reason explains why the two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Interior Angles Converse

c)

Alt. Exterior Angles Converse

d)

Same-Side Interior Angles Converse

e)

Not Enough Information to Prove Parallel

51.

Which reason explains why the two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Interior Angles Converse

c)

Alt. Exterior Angles Converse

d)

Not Enough Information to Prove Parallel

e)

Vertical Angles Theorem

52.

Which reason explains why the two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Interior Angles Converse

c)

Alt. Exterior Angles Converse

d)

Same-Side Int. Angles Converse

e)

Not Enough Information to Prove Parallel

53.

Find the slope of the line that passes through

(-4, 7) and (-6, -4)

a)

$\frac{2}{11}$

b)

$-\frac{2}{11}$

c)

$\frac{11}{2}$

d)

$-\frac{11}{2}$

54.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

55.

Tell whether the lines through the points are parallel, perpendicular, or neither.

Line 1: (3, 6) and (8, 10)

Line 2: (-4, 2) and (0, -3)

a)

parallel

b)

perpendicular

c)

neither

56.

Which line is perpendicular to $y=2x-7$ ?

a)

$y=-2x+8$

b)

$y=\frac{1}{2}x-7$

c)

$y=-\frac{1}{2}x+2$

d)

$y=2x-3$

57.

Which line is parallel to $y=2x-7$ ?

a)

$y=-2x+8$

b)

$y=\frac{1}{2}x-7$

c)

$y=-\frac{1}{2}x+2$

d)

$y=2x-3$

58.

What is the slope of the line with the given equation? $7x+5y=-10$

a)

7

b)

$-\frac{7}{5}$

c)

$-\frac{5}{7}$

d)

-2

59.

Write the equation of a line PARALLEL to y = 3x + 7 that passes through the point (1, 5).

a)

y = 3x - 14

b)

y = 3x + 2

c)

$y=\frac{1}{3}x+6$

d)

$y=\frac{1}{3}x-4$

60.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

61.

Find the measure of each angle indicated.

a)

50°

b)

35°

c)

100°

d)

55°

62.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

63.

Find m∠A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

64.

Solve for x.

a)

A

b)

B

c)

C

d)

D

65.

What is the value of x?

a)

75

b)

80

c)

63

d)

60

66.

The Base Angles Theorem (Isosceles Triangle Theroem) states:

a)

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

b)

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

c)

If two triangles are congruent, then their corresponding sides and angles are congruent.

d)

None of the above.

67.

Find the m∠R.

a)

25°

b)

50°

c)

65°

d)

130°

68.

Find the value of x .

a)

x = 4

b)

x = 5

c)

x = 6

d)

x = 20

69.

Find the value of x .

a)

x = 3

b)

x = 6

c)

x = 13

d)

x = 36

70.

What is the m∠ 2?

a)

50°

b)

65°

c)

115°

71.

What is the value of x?

a)

60

b)

45

c)

70

d)

10

72.

Complete the congruence statement.

∆JIK ≅

a)

∆TRS

b)

∆RST

c)

∆STR

d)

∆TSR

73.

Complete the congruence statement

∆ISR ≅

a)

∆TRS

b)

∆RST

c)

∆STR

d)

∆TSR

74.

Given: $\Delta PET\cong\Delta DOG$

Which of the following are TRUE

a)

$\angle P\cong\angle D$

b)

$\overline{TE}\cong\overline{GO}$

c)

$\angle T\cong\angle O$

d)

$\overline{TP}\cong\overline{GD}$

e)

$\overline{TE}\cong\overline{OG}$

75.

Given ∆JMT ≅ ∆HSP

m∠J =

a)

73°

b)

48°

c)

59°

76.

Given ∆JMT ≅ ∆HSP

$\overline{JM}\ \cong$

a)

$\overline{HS}$

b)

$\overline{PH}$

c)

$\overline{PS}$

77.

$\Delta ABC\cong\Delta DEF.$ Find the value of y.

a)

40

b)

35

c)

22.5

d)

32.5

78.

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.

79.

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

a)

SSS

b)

ASA

c)

SSA

d)

HL

80.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

81.

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

a)

SSS

b)

SAS

c)

ASA

d)

HL

82.

ΔABE ≅ Δ_____ by _____

a)

ΔCDE , ASA

b)

ΔEDC , AAS

c)

ΔCDE , AAS

d)

Cannot Be Determined

83.

ΔWAT ≅ Δ_____ by _____

a)

ΔTRE , ASA

b)

ΔTER , ASA

c)

ΔTER , AAS

d)

Cannot Be Determined

84.

ΔVWX ≅ Δ_____ by _____

a)

ΔYZX by AAS

b)

ΔYXZ by AAS

c)

ΔYZX by ASA

d)

ΔYXZ by ASA

85.

Which of the following is a correct statement and reason for the proof shown?

a)

$\angle P\cong\angle Q$ ; SAS

b)

$\angle P\cong\angle Q$ ; CPCTC

c)

$\angle P\cong\angle Q$ ; SSS

d)

$\angle P\cong\angle Q$ ; SSA

86.

What information is missing to determine if the triangles are congruent by HL?

a)

∠G ≅ ∠X

b)

∠H ≅ ∠W

c)

GI ≅ XV

d)

GH ≅ XW

87.

What information is missing to determine if the triangles are congruent by SAS?

a)

CA≅ NL

b)

∠C ≅ ∠N

c)

∠A ≅ ∠L

d)

∠B ≅ ∠M

88.

Identify the missing statement or reason

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

89.

What is #2 Reason?

a)

Perpendicular Lines

b)

Perpendicular Bisector

c)

Reflexive Property

d)

Segment Bisector

90.

What is the "statement" for step 2 of the proof?

a)

∆BAC≅∆DAC

b)

BC=DC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

91.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

92.

Identify the transformation.

a)

Reflection across y axis

b)

Reflection across x-axis

c)

180 Rotation

d)

Translation 2 units down

93.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

94.

Which rule would result in a translation of 2 units left and 3 units up?

a)

(x, y) → (2x, 3y)

b)

(x, y) → (x - 2, y + 3)

c)

(x, y) → (-x, -y)

d)

(x, y) → (x + 2, y - 3)

95.

How would you describe this tranformation?

a)

rotation of 90 degrees

b)

reflection across x-axis

c)

reflection across y-axis

d)

translation right 6

96.

Translation, Reflection and Rotation are all ______ tranformations.

a)

Rigid

b)

Non-Rigid

97.

The vertices of ΔABC are A(4, -4), B(-1, -2), and C(5, 4).

What are the coordinates of A', B ' and C ' after the tranlstion

$T_{\left(-3,-5\right)}\left(\Delta ABC\right)$

a)

(1, -9)

1.

A'

b)

(-4, -7)

2.

B '

c)

(2, -1)

3.

C '

98.

If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?

a)

(0, 0)

b)

(-6, -5)

c)

(-1, 3)

d)

(-6, 2)

99.

What is the angle of rotation for this counterclockwise rotation about the origin?

a)

90°

b)

180°

c)

270°

d)

360°

100.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

101.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

102.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

a)

(x,y)→(y, -x)

b)

(x,y)→(x,y)

c)

(x,y)→(-y,x)

d)

(x,y)→(-x,-y)

103.

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

a)

(-8,5)

b)

(8,-5)

c)

(8,5)

d)

(5,-8)

104.

Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

105.

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

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

106.

Reflect the point (2, -4) over the y-axis.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

107.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

108.

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

a)

S'(3, 7)

b)

S'(-3, 7)

c)

S'(-3, -7)

d)

S'(3, 7)

109.

Triangle ABC has vertices A(5,2). Find the coordinates of ABC after a reflection over the x-axis.

a)

A’(5, -2)

b)

A’(-5, -2)

c)

A’(-5, -2)

d)

A'(5,2)

110.

Reflections over the x-axis change the ____-__________.

a)

y-coordinate

b)

x-coordinate

111.

Write a rule for the translation.

a)

$T_{<2,\ -1>}$

b)

$T_{<-1,\ 2>}$

c)

$T_{<1,\ -2>}$

d)

$T_{<-2,\ 1>}$

112.

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

113.

Two parallel lines are 7 units apart. If you reflect a figure over both lines how far apart will the pre-image and final image be?

a)

7 units

b)

14 units

c)

4 units

d)

2 units

114.

Which would be the correct notation for the composition of transformations from blue to red to green?

a)

T_<-4,0>^o R_{y axis}

b)

T_<0,-4>^o R_{y axis}

c)

R_{y axis}o T_<0,-4>

d)

R_{x axis}o R_{y axis}

115.

How many lines of symmetry does this shape have?

This a regular octogon, an 8 sided figure.

a)

2

b)

4

c)

6

d)

8

116.

How many lines of symmetry does this shape have?

a)

4

b)

5

c)

6

117.

What is the smallest degree of rotation that will map this shape onto itself?

(a)

118.

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

a)

Rotational

b)

Reflectional

c)

Both

d)

Neither

119.

Use the Perp Bisector Theorem to find AD and BC

a)

5;12

b)

16;4

c)

12; 16

d)

5;16

120.

Find the measure of EH.

(a)

121.

Find the measure of angle CAD.

a)

b)

c)

d)

122.

Find BD.

a)

BD = 20

b)

BD = 2

c)

BD = 4

d)

BD = 10

123.

If a point is equidistance from the endpoints of the segment, then it is on the perpendicular bisector of a segment.

a)

True

b)

False

124.

What is the special property for circumcenters?

a)

The circumcenter is equally distant to the sides of the triangle.

b)

The circumcenter is equally distant to the midpoint of the sides of the triangle.

c)

The circumcenter is at the center of the triangle.

d)

The circumcenter is equally distant to the vertices.

125.

Match the special segment with its point of concurrency.

a)

Perpendicular Bisectors

1.

Circumcenter

b)

Angle Bisectors

2.

Incenter

c)

Medians

3.

Centroid

d)

Altitudes

4.

Orthocenter

126.

Find the length of PO.

a)

32

b)

35

c)

26

d)

29

127.

Which point is equidistant from the sides of a triangle?

a)

Circumcenter

b)

Incenter

c)

perpendicular bisector

d)

angle bisector

128.

BE = 15. Find EG.

a)

10

b)

5

c)

22.5

d)

20

129.

Find ZQ

a)

9

b)

4

c)

15

d)

18

130.

P is the incenter of triangle JKL. Find OP.

a)

8

b)

13

c)

17

d)

4

Geometry 1st Semester Review (through 5-3)

Total questions: 130

Worksheet time: 5hrs 2mins

Similar Resources on Wayground