Free Printable Geometry Fall ACP Review

1.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

2.

If UW=6x-35, find UW.

a)

17

b)

34

c)

67

d)

26

3.

Use the figure to write and solve an equation for x.

a)

5

b)

6

c)

7

d)

8

4.

∠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°

5.

Which point is collinear to points A and D?

a)

B

b)

C

c)

E

d)

F

6.

$Given\ L\left(-4\ ,\ 3\right)\ and\ M\ \left(-7\ ,\ -2\right),\ what\ is\ the\ length\ of\ \overline{LM}\ ?$

a)

$\sqrt[]{34}$

b)

$\sqrt[]{8}$

c)

$\sqrt[]{74}$

d)

$\sqrt[]{122}$

7.

$If\ K\ is\ the\ midpoint\ of\ \overline{JL},\ JK\ =\ 9x-1\ and\ KL=2x+27,\ find\ JL.$

a)

35

b)

70

c)

62

d)

48

8.

If $\overrightarrow{RT}$ bisects $\angle QRS$ , $m\angle QRT=5x-9$ , and $m\angle SRT=2x+33$ , find $m\angle SRT$ .

a)

14

b)

57

c)

61

d)

122

9.

Given the diagram, which pair of angles are Alternate Interior Angles?

a)

$\angle3\ and\ \angle4$

b)

$\angle3\ and\ \angle6$

c)

$\angle4\ and\ \angle6$

d)

$\angle2\ and\ \angle7$

10.

Given the Diagram, $\angle1$ and $\angle5$ are classified

as which type of angles?

a)

Consecutive

Interior

b)

Alternate

Interior

c)

Corresponding

d)

Alternate

Exterior

11.

If $w\ \parallel\ v$ , solve for x.

a)

9

b)

15

c)

19

d)

22

12.

If $p\ \parallel\ q$ , solve for x.

a)

3

b)

10

c)

12

d)

16

13.

If another lines is PERPENDICULAR to the line shown on the graph, what must be its slope?

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

$-\frac{2}{5}$

d)

$-\frac{5}{2}$

14.

If $\Delta JKL$ is isosceles, what is the $m\angle JKL$

a)

37

b)

74

c)

106

d)

143

15.

Which of the following measurements could represent the side lengths of a triangle?

a)

4 in., 14 in., 18 in.

b)

27 in., 39 in., 12 in

c)

8 in., 8 in., 20 in.

d)

44 in., 32 in., 13 in.

16.

Two sides of a triangle measure 7 feet and 19 feet. If x is the length of the third side, which inequality shows the range of possible lengths for the third side.

a)

$7<x<19$

b)

$12<x<26$

c)

$19<x<26$

d)

$7<x<12$

17.

The midpoint of RS is point T. What are the coordinates of point S?

a)

[1, - 1/2]

b)

[1, 1/2]

c)

(8, -4)

d)

(10, -7)

18.

Find the value of a.°

a)

58°

b)

67°

c)

125°

d)

90°

19.

What is the value of the exterior angle?°

a)

16°

b)

70°

c)

25°

d)

45°

20.

Write the contrapositive of the following conditional.

If it is December, then finals are almost here.

a)

If finals are almost here, then it is December

b)

If it is not December, then finals are not almost here.

c)

If finals are not almost here, then it is not December.

d)

It is December if and only if finals are almost here.

21.

Which of these measures could represent sides of a triangle?

a)

3, 6, 10

b)

2.5, 10.25, 15.25

c)

7, 8, 15

d)

12.2, 13.7, 20.1

22.

One leg of an isosceles triangle has a length of 13 cm. The base of the triangle must be greater than

___, but less than ___.

a)

0, 26

b)

13, 26

c)

0, 13

d)

1, 13

23.

What type of relationship do $\angle3$ and $\angle10$ have?

a)

Corresponding Angles

b)

Linear Angles

c)

Same Side Interior Angles

d)

Alternate Interior Angles

24.

$DE=4x-1,\ EF=9,\ and\ DF\ =\ 9x-22$ what is $EF=9$

a)

$x\ =\ 6$

b)

$x=2$

c)

$x=16$

d)

$x=30$

25.

$\Delta ABC\ \cong\ \Delta JKL$

Which of the following statements are true?

(There are more than one)

a)

$AB\ \cong\ JK$

b)

$CB\ \cong\ KL$

c)

$\angle B\ \cong\ \angle K$

d)

$\Delta BCA\ \cong\Delta KLJ$

e)

$\Delta CBA\ \cong\ \Delta JLK$

26.

Parallel lines have what kind of slope?

a)

Matching Reciprocals

b)

Equal

c)

Opposite Reciprocals

d)

Non Existent

27.

Name the following formula.

a)

midpoint

b)

slope

c)

distance

28.

Find x in the following triangle.

a)

70

b)

110

29.

Angles which add up to 180° are called _____.

a)

Vertical angles

b)

Corresponding Angles

c)

Supplementary Angles

d)

Alternate Interior Angles

30.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

31.

Given the two triangles, which congruence statement is NOT true?

a)

$AB\ \cong\ DF$

b)

$DE\ \cong\ AC$

c)

$\Delta\ ABC\ \cong\ \Delta DFE$

d)

$\Delta ABC\ \cong\Delta\ DEF$

32.

Given the two triangles, which statement is true by CPCTC?

a)

$\angle ACB\ \cong\ \angle\ DFE$

b)

$\angle\ BAC\ \cong\ \angle\ FDE$

c)

$\angle CAB\ \cong\angle FED$

d)

$\angle ABC\ \cong\ \angle\ DEF$

33.

Given the equation y = 2x - 10.

Which equation would make a parallel line?

a)

y = -2x + 4

b)

y = 2x - 6

c)

y = -1/2x + 8

d)

y = 1/2x + 9

34.

Given the equation y = 2x - 10.

Which equation would make a perpendicular line?

a)

y = -2x + 4

b)

y = 2x - 6

c)

y = -1/2x + 8

d)

y = 1/2x + 9

35.

Given $\Delta DQT\cong\Delta MRK$

Which statement is NOT true?

a)

$DQ\cong MR$

b)

$TD\cong MK$

c)

$\angle TDQ\cong\angle KMR$

d)

$\angle TQD\cong\angle KMR$

36.

What is the rule to reflect over y = -x

a)

$\left(y\ ,\ x\right)$

b)

$\left(-x,\ -\ y\right)$

c)

$\left(-y,\ -x\right)$

d)

$\left(x\ ,\ y\right)$

37.

Write an rule of translation that moves up 7 and left 4.

a)

$\left(x+7,\ y-4\right)$

b)

$\left(x\ +4,\ y+7\right)$

c)

$\left(x-4,\ y+7\right)$

d)

$\left(x+7,\ y-4\right)$

38.

Which sets of sides of lengths will create a triangle?

Select all that apply.

a)

2 , 14, 8

b)

12, 9, 5

c)

1, 2, 3

d)

4, 10, 11

39.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

40.

Find the Midpoint M of AB if A is (-3, 3) and B is (-8, -5).

a)

$\left(-\frac{11}{2},\ -1\right)$

b)

$\left(-\frac{5}{2},\ -1\right)$

c)

$\left(-13,\ -13\right)$

d)

$\left(2,\ 11\right)$

41.

Given B is the midpoint of AC, find A if B is (-10, 4) and C is (-6, 2).

a)

(-14, 6)

b)

(-2, 0)

c)

(-8, 3)

d)

(-12, 5)

42.

Identify the inverse of: "If you exercise regularly, then you will be healthy"

a)

If you are not healthy, you do not exercise regularly.

b)

If you do not exercise regularly, then you will not be healthy.

c)

If you are healthy, then you exercise regularly.

43.

Identify the Contrapositive of "During power outages, we are released from school":

a)

If we are released from school, there is a power outage.

b)

If we are not released from school, there is not a power outage.

c)

If there is not a power outage, we are not released from school

44.

Complete the congruency statement: $\Delta ABC\cong\Delta_{ }$ _____

a)

$\Delta CDA$

b)

$\Delta CBA$

c)

$\Delta ACB$

d)

$\Delta BCA$

45.

If you take the point (2, -1) and reflect it over the x-axis and then rotate it 90 degrees clockwise, what would be the new coordinate?

(a)

46.

Reflect across the line $y=3$

a)

b)

c)

d)

47.

Solve for x.

a)

7

b)

8

c)

12

d)

14

48.

Find the indicated angle.

(a)

49.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

50.

Use the Distance Formula to find the distance between:

(8,-8) and (3,-4)

a)

10

b)

3.2

c)

6.4

d)

8.7

51.

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

52.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

53.

Identify the transformation from C to D.

a)

270^o Counterclockwise Rotation

b)

180^o Rotation

c)

90^o Counterclockwise Rotation

d)

360^o Rotation

54.

What is the rule for the given translation?

a)

$\left(x\ ,\ y\right)\rightarrow\ \left(x\ +\ 8,\ y\ +\ 4\right)$

b)

$\left(x\ ,\ y\right)\rightarrow\left(x\ +\ 4,\ y\ +\ 8\right)$

c)

$\left(x,\ y\right)\rightarrow\left(x\ -\ 8,\ y\ -\ 4\right)$

d)

$\left(x,\ y\right)\rightarrow\left(x\ -\ 4,\ y\ -\ 8\right)$

55.

Can a triangle be formed with side lengths:
4, 7, 10

a)

yes

b)

no

c)

not enough information

56.

Triangle ABC has vertices A(-3, 5), B(2, 5) and C(0, 9). What would be the coordinates of B' after a reflection over the x-axis?

a)

(-5, 2)

b)

(-5, -2)

c)

(2, -5)

d)

(-2, -5)

57.

Triangle ABC has vertices A(-3, 5), B(2, 5) and C(0, 9). What would be the coordinates of A' after a reflection over the y-axis?

a)

(3, 5)

b)

(-3, -5)

c)

(-3, 5)

d)

(3, -5)

58.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

59.

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.

60.

Write a definition of congruent angles as a biconditional statement.

a)

Angles are congruent if they have the same size and shape.

b)

If angles are congruent, then they have the same size and shape.

c)

Congruent angles are the same.

d)

Angles are congruent if and only if they have the same size and shape.

61.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

a)

more than 3 but less than 11

b)

more than 11 but less than 3

c)

less than 3 but more than 11

62.

What is another name for ∠H

a)

∠KGH

b)

∠LGH

c)

∠LHG

d)

∠K

63.

Find the area of this regular polygon

a)

81.8 m²

b)

204.4 m²

c)

408.8 m²

d)

40.8 m²

64.

Find the area.

a)

50.4

b)

700.56

c)

100.08

d)

1401.12

65.

Find the area

a)

96 cm²

b)

48 cm²

c)

36 cm²

d)

48 cm

66.

What is the formula for a particular exterior angle in a regular polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

67.

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°

68.

Find the measure of one EXTERIOR angle in the regular polygon. Round your answer to the nearest tenth, if necessary.

(a)

69.

Find the measure of one interior angle in the regular polygon. Round your answer to the nearest tenth, if necessary.

(a)

70.

Find the measure of one interior angle in the regular polygon. Round your answer to the nearest tenth, if necessary.

(a)

71.

Find the measure of one interior angle in the regular polygon. Round your answer to the nearest tenth, if necessary.

(a)

72.

Find the INTERIOR ANGLE SUM of the regular polygon.

(a)

73.

Find the INTERIOR ANGLE SUM of the regular polygon.

(a)

74.

Find the INTERIOR ANGLE SUM of the regular polygon.

(a)

75.

What does the 'p' stand for in the following formula?

a)

percent

b)

pentagon

c)

portion

d)

perimeter

76.

What does the 'a' stand for in the following formula?

a)

area

b)

apossum

c)

altitude

d)

apothem

77.

FInd the area of the regular nonagon pictured.

Do not include units in your answer

(a)

78.

Find the area of a regular triangle with side lengths 48.5 meters and apothem 14 meters.

Do not include units in your answer

(a)

79.

If the polygon is regular, what is the measure of angle d?

a)

72 degrees

b)

360 degrees

c)

540 degrees

d)

108 degrees

80.

What is the interior angle of a polygon with an exterior angle of 165 degrees?

a)

180

b)

15

c)

360

d)

195

81.

Which is a counterexample to the following statement?

If you live in Texas, then you live in Carrollton.

a)

New York City

b)

Dallas

c)

Houston

d)

Los Angeles

82.

Which is a counterexample to the following statement?

If you add two numbers, then the sum is odd.

a)

2+5=7

b)

3+2=5

c)

1+8=9

d)

2+4=6

83.

Which is a counterexample to the following statement?

If $LM\cong MN$ , then $M$ is the midpoint of $LN$ .

a)

b)

c)

d)

None of these

84.

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

a)

Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars

b)

Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend

c)

Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life

d)

Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends

85.

True or False: a counterexample is an example that makes a definition or conjecture incorrect

a)

True

b)

False

86.

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

a)

10

b)

-2

c)

0

d)

True. There is no counterexample.

87.

Name 4 collinear points

a)

H, M, N, O

b)

I, K, N, O

c)

M, J, O, L

d)

H, N, K, I

88.

What theorem is this picture showing?

a)

Interior angle theorem

b)

Angle sum theorem

c)

Exterior angle theorem

d)

Third angle theorem

89.

a)

AD = 12, BC = 5

b)

AD = 12, BC = 16

c)

AD = 5, BC = 12

d)

AD = 12, BC = 8

90.

Which series of transformations were performed in the figure?

a)

Translation 5 units down, reflection over the y-axis

b)

Reflection over the x-axis, translation 6 units right

c)

Rotation 90^oclockwise, reflection over the x-axis

d)

Rotation 180^oclockwise, reflection over the y-axis

91.

Which of the following describes the sequence of transformations shown?

a)

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

b)

Rotate 90 degrees cw 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 ccw about the origin.

92.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

a)

Reflection over x-axis, then Rotation of 90 Degrees

b)

Rotation of -90 Degrees, then Reflection over y-axis

c)

Reflection over y-axis, then Rotation of -90 Degrees

d)

Rotation of 90 Degrees, then Reflection over x-axis

93.

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

a)

Green Triangle

b)

Blue Triangle

c)

Orange Triangle

d)

Red Triangle

94.

Name the series of transformations that maps ABC onto DEF

a)

reflect over x then translate left 6 up 1

b)

reflect over y then translate down 6 left 1

c)

translate right 6 down 1, then reflect over x

d)

rotate 90 clockwise then reflect over y

95.

Describe a sequence of transformations that maps figure A onto figure B.

a)

A translation 4 units right followed by a reflection across the x-axis

b)

A reflection across the x-axis followed by a reflection across the y-axis

c)

A reflection across the y-axis followed by a translation 6 units down

d)

A 90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis

96.

What are the final coordinates of B after a rotation of 180 degrees counterclockwise and a reflection over the y-axis

a)

(-3, -4)

b)

(3, 4)

c)

(-4, 3)

d)

(4, -3)

97.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

98.

a)

Reflection across the x-axis, translation down 4 and right 1.

b)

Rotation 180° about the origin, translation down 1 and right 2.

c)

Rotation 180° about the origin, translation down 2 and right 2.

d)

Reflection across the x-axis, down 6 and right 3.

99.

Which of the following constructions is illustrated?

a)

An angle is congruent to a given angle

b)

The bisector of a given angle

c)

The bisector of a given segment

d)

The perpendicular bisector of a given segment.

100.

Name the construction.

a)

Angle bisector

b)

Perpendicular line to a point not on a line

c)

Angle median

d)

Perpendicular bisector of a line segment

101.

Name the construction.

a)

Corresponding angles

b)

Parallel line to a point not on the line

c)

Perpendicular line to a point not on the line

d)

Angle bisector

102.

Name the construction.

a)

Angle bisector

b)

Di-sect an angle

c)

Copy an angle

d)

Vertical angles

103.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

104.

In the image, line RS is _______ to line JQ.

a)

parallel

b)

congruent

c)

similar

d)

perpendicular

105.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

106.

This construction forms a __________.

a)

Perpendicular Bisector

b)

Perpendicular Line

c)

A lowercase "t" flipped to the side

d)

Line Segment

107.

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.

108.

What is the measure of ONE interior angle in a regular pentagon?

a)

90°

b)

108°

c)

120°

d)

180°

109.

What is the measure of an exterior angle of a triangle if the two non-adjacent interior angles are 45^o and 55^o?

a)

100^o

b)

120^o

c)

90^o

d)

110^o

110.

Which of the following is a property of an angle bisector?

a)

It divides an angle into two congruent angles.

b)

It forms a right angle with the opposite side.

c)

It is always perpendicular to the opposite side.

d)

It divides a segment into two equal parts.

111.

Angles 4 and 6 are same-side interior, so they are...?

a)

Supplementary

b)

Congruent

112.

What is being constructed?

a)

A congruent segment

b)

Parallel Lines

c)

Perpendicular Bisector

d)

Angle Bisector

113.

Based on the construction, which conclusion is not always true?

a)

$\overline{CB}=\overline{CA}$

b)

$\overline{AB}=\overline{CD}$

c)

$\overline{CD}\perp\ \overline{AB}$

d)

$\overline{CB}=\overline{BD}$

114.

The diagram shows the locations of Noah and Ben after swimming in different directions from a dock. Let d be the distance from Noah to Ben in yards.
Which represents all the possible values, in yards, of d?

a)

0 < d < 105

b)

0 < d < 147

c)

21 < d < 147

d)

63 < d < 84

115.

Hannah will connect the end points of three line segments to form a triangle. Two of the line segments are shown.

Which could be the length of the third line segment?

a)

2.5 inches

b)

2 inches

c)

1 inch

d)

1.5 inches

116.

Will these line segments form a triangle?

a)

yes

b)

no

117.

What is the justification for the statement shown?

a)

Definition of Supplementary Angles

b)

Vertical angles are congruent.

c)

Definition of an Angle Bisector

d)

Angle Addition Postulate

118.

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

a)

14

b)

12.5

c)

15

d)

25

119.

Identify all the correct statement.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠D=64°

e)

∠D=116°

Geometry Fall ACP Review

Total questions: 119

Worksheet time: 6hrs 21mins

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