Free Printable Geometry MCAP Review

1.

Fill in the Statement#4.

a)

$\overline{AR}\cong\overline{RA}$

b)

$\overline{AR}\cong\overline{AR}$

c)

$\angle ABR\cong\angle RKA$

d)

$\overline{KA}\cong\overline{AK}$

2.

Fill in the Reason#4.

a)

Alternate interior angles are congruent.

b)

Vertical angles are congruent.

c)

Reflexive Property

d)

$\parallel\longrightarrow$ alternate interior angles are congruent

3.

Fill in the Statement#5.

a)

$\overline{AR}\cong\overline{RA}$

b)

$\Delta RBA\cong\Delta AKR$

c)

$\angle ABR\cong\angle RKA$

d)

$\Delta RAB\cong\Delta RKB$

4.

Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)

a)

(-1,0)

b)

(4,9)

c)

(6,7)

d)

(7,9)

5.

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)

6.

Find the y-coordinate of the midpoint of the line

a)

1

b)

2

c)

-2

d)

3

7.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

8.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

9.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

10.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

11.

What is the correct equation to solve for x ?

a)

tan (58) = x/11

b)

tan (58) = 11/x

c)

cos (58) = x/11

d)

sin (58) = x/11

12.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

13.

Find the volume of the cylinder.

a)

4239

b)

1696

c)

1130

d)

565

14.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

15.

Find the area of the circle below.

a)

8.76 cm²

b)

18.52 cm²

c)

21.90 cm²

d)

28.26 cm²

16.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

25.2 in²

b)

28.5 in²

c)

31.4 in²

d)

38.2 in²

17.

What is the area of the shaded SECTOR? Round to the nearest hundredth.

a)

9.42 u²

b)

113.10 u²

c)

284.3 u²

d)

452.39 u²

18.

What properties do ALL trapezoids have?

a)

Congruent diagonals

b)

One pair of opposite sides that are parallel

c)

Four right angles

d)

Opposite angles that are congruent

19.

The legs of an isosceles trapezoid are _________.

a)

Congruent

b)

Supplementary

c)

Parallel

d)

Perpendicular

20.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

21.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Correpsonding

d)

Vertical Angles

22.

Name the angle relationship.

a)

Consecutive Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

23.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

supplementary angles

c)

corresponding angles

d)

vertical angles

24.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

25.

Angles 4 and 6 are

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Vertical

26.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

27.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

28.

y = ^{- 2}/₃x + 2
y = ³/₂x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

29.

y = ¹/₃x + 2
y = 4x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

30.

Find the area of the triangle.

a)

10 cm²

b)

24 cm²

c)

12 cm²

31.

Find the Area of a rectangle with sides 4 and 5?

a)

20

b)

18

c)

81

d)

19

32.

? = (a) degrees

33.

? = (a) degrees

34.

What is the m∠U?

a)

38

b)

19

c)

76

d)

90

35.

What is the measure of arc AD?

a)

38

b)

142

c)

180

d)

153

36.

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

a)

The sum of the angle measures of trapezoid PQRS is $180\degree$ less than the sum of the angle measures of trapezoid P'Q'R'S'.

b)

Trapezoid PQRS is not congruent to trapezoid P'Q'R'S'.

c)

The area of trapezoid PQRS is less than the area of trapezoid P'Q'R'S'.

d)

The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.

37.

Pentagon ABCDE is rotated $180\degree$ clockwise about the origin to form pentagon A'B'C'D'E. Which statement is true?

a)

Pentagon ABCDE is congruent to pentagon A'B'C'D'E'.

b)

The sum of the angle measures of pentagon A'B'C'D'E' is $180\degree$ more than the sum of the angle measures of pentagon ABCDE.

c)

Each side length of pentagon A'B'C'D'E' is 2 times the corresponding side length of pentagon ABCDE.

d)

Each side length of pentagon A'B'C'D'E' is $\frac{1}{2}$ the corresponding side lenth of pentagon ABCDE.

38.

A transformation is applied to a figure to create a new figure. Which transformation does not preserve congruence?

a)

A reflection across the x-axis

b)

A translation 7 units down

c)

A dilation by scale factor of 5

d)

A rotation of $90\degree$ clockwise

39.

Triangle ABC was transformed to create triangle A'B'C'. Which rule best describes the transformation?

a)

$\left(x,y\right)\rightarrow\left(x,y-7\right)$

b)

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

c)

$\left(x,y\right)\rightarrow\left(x-7,y\right)$

d)

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

40.

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

41.

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

42.

How is triangle A rotated to be triangle Y?

a)

180 clockwise

b)

90 clockwise

c)

90 counter-clockwise

43.

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)

$y=-2x+8$

44.

Select the two lines that are perpendicular.

a)

$y=4x-2$

b)

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

c)

$y=-4x+1$

d)

None are perpendicular.

45.

A line is perpendicular to
y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

46.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

47.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

48.

If the scale factor is less than one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

bigger

49.

If the scale factor is greater than one, the new figure will be

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

50.

Are the following similar? Why or why not?

a)

Yes

b)

No

51.

What is the scale factor from triangle ABC to triangle DEF?

a)

1/2

b)

7/3

c)

2/1

d)

10/3

52.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

53.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

54.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

55.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

56.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

57.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

58.

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

a)

45^o

b)

55^o

c)

80^o

d)

100^o

59.

What postulate proves these triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

60.

Are the triangles definitely congruent? If so, by what theorem?

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

61.

Jack wants to know how much water a sphere can hold with a radius of 8 cm. Find the volume. Use 3.14 for pi.

a)

83.6 cm³

b)

2144.7 cm³

c)

254 cm³

d)

2220 cm³

62.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

63.

What is the area of the shaded region?

a)

4 cm²

b)

16 cm²

c)

8 cm²

d)

12 cm²

64.

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

a)

45°

b)

90°

c)

180°

d)

360°

65.

What is the measure of the missing angle?

a)

82

b)

43

c)

55

d)

180

66.

Which angles are vertical angles?

a)

$\angle8\ \&\ \angle7$

b)

$\angle8\ \&\ \angle6$

c)

$\angle8\ \&\ \angle5$

67.

Find the value of ∠A.

a)

79 degrees

b)

87 degrees

c)

90 degrees

d)

97 degrees

68.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

69.

Find HG.

a)

8

b)

9

c)

10

d)

11

70.

Find AC

a)

7

b)

8

c)

22

d)

23

71.

a)

RM=6, MS=6

b)

RM=3, MS=3

c)

RM=3, MS=6

d)

RM=6, MS=3

72.

What are the coordinates of the center and the radius of the circle with equation (x - 4)² + (y - 3)² = 25 ?

a)

Center (4, 3)

Radius = 5 units

b)

Center (4, 3)

Radius = 25 units

c)

Center (-4, -3)

Radius = 25 units

d)

Center (-4, -3)

Radius = 5 units

73.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

74.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

75.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

76.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

77.

Which equation can be used to solve for d?

a)

sin(39)= $\frac{d}{30}$

b)

cos(30)= $\frac{d}{39}$

c)

sin(30)= $\frac{39}{d}$

d)

cos(39)= $\frac{d}{30}$

78.

Which similarity theorem, if any, proves that these triangles are similar?

a)

SSS

b)

SAS

c)

AA

d)

None, the triangles are not similar

79.

Which similarity theorem, if any, proves that these triangles are similar?

a)

SSS

b)

SAS

c)

AA

d)

None, the triangles are not similar

80.

Which similarity theorem, if any, proves that these triangles are similar?

a)

SSS

b)

SAS

c)

AA

d)

None, the triangles are not similar

81.

When proving these triangles similar, what would you write in for the missing reason?

a)

Math

b)

Corresponding sides are proportional

c)

Corresponding sides are congruent

d)

SSS similarity postulate

82.

What is the Reasons for #2 and #3?

a)

#2 - Corresponding Angles

#3 - AA ~

b)

#2 - Reflexive

#3 - AA ~

c)

#2 - Reflexive

#3 - SAS ~

d)

#2 - Corresponding Angles

#3 - SAS ~

83.

What reasons complete the proof?

a)

Given, AA Similarity Postulate

b)

Vertical Angle Theorem, AA Similarity Postulate

c)

Reflexive Property, SAS Similarity Postulate

d)

Definition of Angle Bisector, SSS Similarity Postulate

84.

In the given proof, what are the reasons for step 1 and 2?

a)

Angles that form a linear pair are supplementary.

b)

Substitution

c)

Reflexive Property of Congruence

d)

Angles of equal measure are congruent.

85.

In the given proof, what is the reason for step 1?

a)

Angles that form a linear pair are supplementary.

b)

Angles of Equal Measure are Congruent

c)

Reflexive Property of Congruence

d)

Definition of a Perpendicular Bisector

86.

In the given proof, what is the statement for step 2?

a)

Angles that form a linear pair are supplementary. $m∠1+m∠3=180°$

b)

$m∠3+m∠5=180°$

c)

$m∠1=m∠3$

d)

$\angle3\cong\angle5$

87.

In the given proof, what is the statement for step 2?

a)

$AD≅DB$

b)

$CD≅CD$

c)

$m\angle ADC+m\angle BDC=180\degree$

d)

$\angle ADC\cong\angle BDC$

88.

In the given proof, what is the statement for step 4?

a)

$\angle2\cong\angle3$

b)

$m\angle1+m\angle4\ =180\degree$

c)

$\angle1\cong\angle4$

d)

$\Delta ABC\cong\Delta ACD$ .

89.

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

a)

157.1 $m^3$

b)

31.4 $m^3$

c)

471.2 $m^3$

d)

208.6 $m^3$

90.

What is the area of the figure?

a)

11 square units

b)

15 square units

c)

25 square units

d)

30 square units

91.

What is the area of the triangle?

a)

60 square units

b)

90 square units

c)

45 square units

d)

30 square units

92.

Name that shape.

a)

square

b)

square
rhombus

c)

quadrilateral
parallelogram
rhombus

d)

quadrilateral
parallelogram
square

93.

Name that shape.

a)

quadrilateral, rectangle

b)

quadrilateral, rectangle, square

c)

quadrilateral, parallelogram, rectangle

d)

quadrilateral, parallelogram, rectangle, square

94.

Classify this shape. Select ALL names that apply.

a)

quadrilateral

b)

square

c)

parallelogram

d)

rhombus

e)

rectangle

95.

Which figure can have the same cross section as a sphere?

a)

b)

c)

d)

96.

What shape will the horizontal cross-section of a sphere be?

a)

Dome

b)

Circle

c)

Ellipse

d)

Rectangle

97.

What shape will the vertical cross-section of a cube be?

a)

Square

b)

Triangle

c)

Trapezoid

d)

Circle

98.

What shape does this cross section make?

a)

Rectangle

b)

Circle

c)

Triangle

d)

Square

99.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

100.

What shape does this cross section make?

a)

circle

b)

Trapezoid

c)

Rectangle

d)

Parallelogram

Geometry MCAP Review

Total questions: 100

Worksheet time: 4hrs 9mins

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