Free Printable PHS Geometry Mid Year Review

1.

What is the difference between a LINE SEGMENT and a LINE?

a)

Line Segments are two-dimensional, Lines are one-dimensional

b)

Lines can be represented on single planes; Line Segments can only be represented on multiple planes.

c)

Line Segments have finite lengths; Lines go on forever.

d)

Line segments are geometric figures; Lines are not.

2.

Part of a line. Has one endpoint and continues on forever in one direction.

a)

Line Segment

b)

Line

c)

Ray

d)

Point

3.

Which terms are considered undefined terms in Euclidean geometry?

a)

Point, plane, line segment

b)

Point, line, plane

c)

Line, plane, angle

d)

Point, line, ray

4.

In a geometric system, which would best describe how postulates differ from theorems?

a)

Postulates do not require a proof and are presumed true, while theorems are statements requiring proof.

b)

Postulates are statements that require proof, while theorems cannot be proven.

c)

Both postulates and theorems do not require proof and are assumed to be true.

d)

There is no difference between postulates and theorems.

5.

An example of coplaner points

a)

D, E, B

b)

C, B, A

c)

M, E, C

d)

A, F, E

6.

Give another name for line b

a)

line a

b)

R

c)

line KL

d)

line HK

7.

How would you describe points I, L, C?

a)

collinear

b)

non-coplanar

c)

symmetric

d)

coplanar

8.

A plane containing point A.

a)

Plane DEA

b)

Plane k

c)

Plane CDF

d)

Plane F

9.

Name the intersection of planes P & R. Give the best answer.

a)

Point D

b)

Point A

c)

Line AB

d)

Line FG

10.

Name a point non-coplanar to Plane R

a)

Point K

b)

Point M

c)

Point R

d)

Point H

11.

Name a point non-coplanar to Plane R

a)

Point K

b)

Point M

c)

Point R

d)

Point H

12.

Name the intersection of Line c and Plane R

a)

Point J

b)

Line HK

c)

Point K

d)

Line MN

13.

Name the intersection of planes ADF and EHG.

a)

Point E

b)

Point F

c)

Line EF

d)

Line FG

14.

What do you call rays with the same endpoint that form a line?

a)

Opposite Rays

b)

Rays

c)

Segments

d)

Planes

15.

What does the image show?

a)

a ray

b)

a line

c)

a line segment

d)

a point

16.

a)

F

b)

G

c)

H

d)

J

17.

a)

23 degrees

b)

66 degrees

c)

89 degrees

d)

91 degrees

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

x = 12

b)

x = 24

c)

x = 36

d)

x = 46

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

3

b)

4

c)

5

d)

6

22.

a)

4

b)

12

c)

51

d)

180

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

a)

The perimeter of triangle ABC is about 15

b)

The length of the longest side of the triangle is about 5.83 units

c)

The area of the triangle is 9 square units

d)

The length of the shortest side of the triangle is about 3.16 units

26.

What is the slope of line KH if H(-4, 2) and K(2, -2)? Remember to reduce!

a)

-3/2

b)

-2/3

c)

2/3

d)

3/2

27.

What is the slope of line CD if C(2, 5) and D(6, 5)? Remember to reduce!

a)

5/2

b)

2/5

c)

0

d)

undefined

28.

Are Line PQ and line JK parallel, perpendicular, or neither if:

slope of PQ = 5

slope of JK = -1/5

a)

parallel

b)

perpendicular

c)

neither

29.

Are Line EF and line CD parallel, perpendicular, or neither if:

slope of EF = -3/4

slope of CD = -3/4

a)

parallel

b)

perpendicular

c)

neither

30.

Are Line BC and line ST parallel, perpendicular, or neither if:

slope of BC = -5/3

slope of ST = 3/5

a)

parallel

b)

perpendicular

c)

neither

31.

Are Line FG and line KJ parallel, perpendicular, or neither if:

F(–1, 2), G(3, –4), K(–2, –3), and J(4, 1)?

a)

parallel

b)

perpendicular

c)

neither

32.

What is the slope of the graphed line?

(a)

33.

Are line RS and line TU parallel, perpendicular, or neither if:

R(–2, 3), S(3, 3), T(–3, 1), and U(3, –1)?

a)

parallel

b)

perpendicular

c)

neither

34.

Are line A and line B parallel, perpendicular, or neither if:

line a goes through (-1,2) and (3, -6) and

line B has an equation of 3y = -6x + 9?

a)

parallel

b)

perpendicular

c)

neither

35.

Write the equation of a line in slope intercept form that is perpendicular to

y = (2/3)x - 4 and passes through (-6, 1).

a)

y = (2/3)x + 5

b)

y = (2/3)x - 8

c)

y = (-3/2)x + 5

d)

y = (-3/2)x - 8

36.

A line that is parallel to this line would have what slope?
y= 2x - 7

a)

2

b)

1/2

c)

-1/2

d)

7

37.

If a line has a slope of 2/3 a line that is perpendicular has a slope of what?

a)

-3/2

b)

3/2

c)

2/3

d)

-2/3

38.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

39.

If the lines are parallel to each other and the slope of the blue line is 1/4, what is the slope of the purple line?

a)

4

b)

-4

c)

$-\frac{1}{4}$

d)

$\frac{1}{4}$

40.

Name a pair of alternate interior angles.

a)

∠1 and ∠4

b)

∠2 and ∠4

c)

∠3 and ∠4

d)

∠4 and ∠5

41.

Name a pair of alternate exterior angles.

a)

∠1 and ∠3

b)

∠1 and ∠4

c)

∠1 and ∠6

d)

∠1 and ∠7

42.

Name a pair of consecutive interior angles.

a)

∠1 and ∠2

b)

∠3 and ∠7

c)

∠4 and ∠5

d)

∠6 and ∠7

43.

What is the m∠1?

a)

78°

b)

87°

c)

93°

d)

102°

44.

Name a pair of corresponding angles.

a)

∠1 and ∠2

b)

∠1 and ∠4

c)

∠1 and ∠5

d)

∠1 and ∠6

45.

Triangle DEF is reflected over the line $x=-2$ . What are the coordinates of D'?

(a)

46.

Triangle ABC is rotated $90\degree$ counterclockwise around the origin. What are the coordinates of B'?

(a)

47.

If point $H(-6,2)$ is translated 4 units up and 3 units right, what are the coordinates of the translated image?

a)

$\left(3,4\right)$

b)

$(-2,5)$

c)

$\left(-3,6\right)$

d)

$\left(10,5\right)$

48.

Determine the rule on how to translate triangle ABC to its image A'B'C'.

a)

$\text{(x+5, y-3)}$

b)

$\text{(x+3, y-5)}$

c)

$\text{(x-3, y+5)}$

d)

$\text{(x-5, y+3)}$

49.

Triangle ABC is reflected across the line y=0. Where is A'?

(a)

50.

Which option does NOT accurately describe the transformation from triangle ABC to A'B'C'.

a)

$\text{270}\degree$ counterclockwise rotation around the origin

b)

$\text{90}\degree$ clockwise rotation around the origin

c)

$\text{90}\degree$ rightward rotation around the origin

d)

$\text{90}\degree$ counterclockwise rotation around the origin

51.

Which vector represents the translation from triangle ABC to A'B'C'?

a)

<4, 2>

b)

<-5, 3>

c)

<5, -3>

d)

<-3, 5>

52.

How can you tell if an object has been reflected over the x axis? Select all that apply.

a)

The new object mirrors the original object.

b)

The object slid over the x axis.

c)

The object was flipped over the x axis.

d)

The new object is the same distance away from the x axis as the original object.

53.

What transformation has occurred?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

54.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

55.

Identify the transformation from A to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

56.

Point (-3,-3) is rotated 360 degrees clockwise about the origin. Where is the new point located?

a)

(3,3)

b)

(-3,3)

c)

(3,-3)

d)

(-3,-3)

57.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

58.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

59.

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

a)

ASA

b)

SAS

c)

SSS

d)

AAA

60.

Vertical angles are congruent.

a)

True

b)

False

61.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

62.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

63.

What is the correct congruence statement? ΔLEU≅______

a)

ΔLGE

b)

ΔLEG

c)

ΔELG

d)

Not Congruent

64.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

65.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

66.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

67.

Are the triangles congruent?

a)

Yes, by AAS≅

b)

Yes, by AA≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

68.

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

a)

m∠LKN = m∠MNK

b)

m∠NLK = m∠KMN

c)

m∠LNK = m∠MKN

d)

KN = KN

e)

LN = MK

69.

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

70.

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

a)

m∠T = m∠V

b)

m∠U = m∠W

c)

m∠TXU = m∠VXW

d)

TX = VX

e)

TU = VW

71.

Are the triangles congruent?

a)

Yes, by AA≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by AAA≅

e)

Not enough information

72.

Are the triangles congruent?

a)

Yes, by AA≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

73.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

74.

Using the Triangle Inequality Theorem, find the inequality that represents the possible side lengths of the given triangle.

(Note: The triangle is not necessarily drawn to scale)

a)

$4<x<22$

b)

$x<17$

c)

$17<x<24$

d)

$2<x<5$

75.

The given figure is a parallelogram. Solve for x.

a)

$x=7$

b)

$x=\frac{11}{3}$

c)

$x=\frac{3}{11}$

d)

$x=\frac{1}{7}$

76.

Find the measure of the angle indicated by x in the parallelogram.

(a)

77.

Find m∠C in the given figure.

a)

$m\angle C=40^{\circ}$

b)

$m\angle C=25^{\circ}$

c)

$m\angle C=80^{\circ}$

d)

$m\angle C=50^{\circ}$

78.

Using the given figure, which congruence statement is correct?

a)

$\Delta ABC\cong\Delta BDA$

b)

$\Delta ADE\cong\Delta BCE$

c)

$\Delta AED\cong\Delta AEB$

d)

$\Delta AEB\cong\Delta DEC$

79.

Determine if the given triangles can be proven congruent. If they can, state the name of the postulate or theorem that can be used to prove them congruent.

a)

No, there is not enough information to prove the triangles are congruent.

b)

Yes, SAS congruence postulate

c)

Yes, ASA congruence postulate

d)

Yes, HL congruence theorem

80.

Using the Triangle Inequality Theorem, which set of side lengths below could not be used to make a triangle?

a)

{1.5 m, 2 m, 3 m}

b)

{20, 60, 70}

c)

{200 ft, 150 ft, 51 ft}

d)

{120 cm, 60 cm, 50 cm}

81.

a)

x = 8

b)

x = 16

c)

x = 32

d)

x = 4

82.

a)

$m\angle KLJ=15\degree$

b)

$m\angle KLJ=73\degree$

c)

$m\angle KLJ=48\degree$

d)

$m\angle KLJ=24\degree$

83.

a)

$m\angle YQR=21\degree$

b)

$m\angle YQR=3\degree$

c)

$m\angle YQR=46\degree$

d)

$m\angle YQR=33\degree$

84.

The altitudes of a triangle intersect at the ____________________.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

85.

The angle bisectors of a triangle intersect at the ________________________.

a)

Circumenter

b)

Incenter

c)

Centroid

d)

Orthocenter

86.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

87.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

88.

If H is the circumcenter of the triangle, find BE.

a)

BE = 9

b)

BE = 14

c)

BE = 18

d)

BE = 12

89.

If H is the circumcenter of the triangle, find EH.

a)

EH = 10.7

b)

EH = 9

c)

EH = 14

d)

EH = 5.8

90.

a)

$m\angle ZTV=43\degree$

b)

$m\angle ZTV=86\degree$

c)

$m\angle ZTV=5\degree$

d)

$m\angle ZTV=51\degree$

91.

If G is the centroid of the triangle, find AC.

a)

70

b)

35

c)

42

d)

28

92.

Which of the following could represent side lengths of a triangle? Check ALL that apply.

a)

19, 11, 17

b)

23, 28, 52

c)

34, 9 , 25

d)

13, 22, 14

93.

a)

21

b)

26

c)

9

d)

15

94.

Which of the following list the sides of $\Delta DEF$ from least to greatest?

a)

DE, EF, DF

b)

EF, DF, DE

c)

EF, DE, DF

d)

DF, DE, EF

95.

What is the definition of a Quadrilateral?

a)

A polygon with three sides and three
angles

b)

Lines that cross each other at exactly one point

c)

A polygon with four sides and four angles

d)

An angle measuring exactly 90˚

96.

What quadrilaterals has 2 pairs of parallel lines; 4 sides have equal length; 4 right angles?

a)

rectangle

b)

rhombus

c)

square

d)

I don't know

97.

What is the name of this shape?

a)

Rectangle

b)

Square

c)

Rhombus

d)

Kite

98.

What is the definition of a Trapezoid?

a)

A common feature or characteristic

b)

Having three dimensions – length, width, and height

c)

Having exactly the same size and shape

d)

A quadrilateral with at least one pair of parallel sides

99.

What is the definition of a Trapezoid?

a)

A common feature or characteristic

b)

Having three dimensions – length, width, and height

c)

Having exactly the same size and shape

d)

A quadrilateral with at least one pair of parallel sides

100.

How many vertices?

a)

5

b)

6

c)

7

d)

8

101.

Which quadrilateral has perpendicular diagonals?

a)

rectangle

b)

rhombus

c)

parallelogram

d)

trapezoid

102.

Which quadrilateral has equal diagonals?

a)

rectangle

b)

rhombus

c)

kite

d)

parallelogram

103.

A parallelogram is ____________ a rectangle.

a)

Always

b)

Sometimes

c)

Never

104.

A rhombus is ___________ a parallelogram.

a)

always

b)

sometimes

c)

never

105.

A quadrilateral is _____________ a triangle.

a)

Always

b)

Sometimes

c)

Never

106.

What is the perimeter of a rhombus that has a side length of 7 ft?

a)

7 ft

b)

14 ft

c)

28 ft

d)

49 ft

107.

What shape is this?

a)

Square

b)

Rectangle

c)

Rhombus

d)

Parallelogram

108.

Consecutive angles in a parallelogram are always....

a)

Complementary

b)

Supplementary

c)

Congruent

d)

Unrelated

109.

Solve for X

a)

22

b)

16

c)

40

d)

35

110.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

111.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides parallel

b)

Opposite angles equal

c)

Opposite sides equal and parallel

d)

Not enough info

112.

The diagonals of a parallelogram always ...

a)

are congruent

b)

are perpendicular

c)

bisect each other

d)

are parallel

113.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

114.

Solve for the variables.

a)

m=68, n=70

b)

m=35, n=70

c)

m=35, n=110

d)

m=68, n=110

115.

Solve for the variables.

a)

x=15, y=9

b)

x=9, y=15

116.

Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.

a)

6

b)

11

c)

7

d)

5

117.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

118.

What is the SUM of the angle measures in a hexagon (6 sides)?

a)

720°

b)

1080°

c)

600°

d)

540°

119.

What is the measure of ONE interior angle in a regular hexagon (6 sides)?

a)

60°

b)

80°

c)

108°

d)

120°

120.

Find x:

a)

$120\degree$

b)

$60\degree$

c)

$135\degree$

d)

$144\degree$

PHS Geometry Mid Year Review

Total questions: 120

Worksheet time: 2hrs 49mins

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