Free Printable Geometry Mixed Regents Review

1.

What are the coordinate points for point A?

a)

(7, 2)

b)

(2, 7)

c)

(2, 6)

2.

What are the coordinate points for point B?

a)

(-4, 6)

b)

(6, -4)

c)

(-4, 5)

3.

What are the coordinate points for point D?

a)

(3, 3)

b)

(-3, 3)

c)

(-3, -3)

4.

What are the coordinate points for point E?

a)

(2, 0)

b)

(0, 2)

c)

(2, 2)

5.

What is a reflection?

a)

When you turn an object around a point.

b)

When you slide an object form one place to another.

c)

When you flip or mirror an object across a line.

d)

When you resize an object.

6.

Reflecting over the y-axis changes the ____-_____________.

a)

x-axis

b)

x-coordinate

c)

y-coordinate

d)

y-axis

7.

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

a)

y-coordinate

b)

x-coordinate

8.

What axis is the triangle being reflected over?

a)

X-axis

b)

Y-axis

9.

What axis is the image reflected over?

a)

X-axis

b)

Y-axis

10.

What would be the coordinates of point K if it was reflected over the x-axis?

a)

(-5, -2)

b)

(-5, 2)

c)

(5, -2)

11.

What would be the coordinates of point K if it was reflected over the Y-axis?

a)

(-5, 2)

b)

(5, 2)

c)

(5, -2)

12.

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

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

13.

Reflect (6, -3) over the line x-axis.

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

14.

Triangle GHI is reflected across the x-axis. What are the coordinates of I'?

a)

(-2, 6)

b)

(2, 6)

c)

(-6, -2)

d)

(6, 2)

15.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

16.

∆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)

17.

a)

1

b)

2

c)

3

d)

4

18.

a)

1

b)

2

c)

3

d)

4

19.

Is the reflection shown a reflection over the x or y axis?

a)

X axis

b)

Y axis

20.

Is the reflection shown a reflection over the x or y axis?

a)

x axis

b)

y axis

21.

a)

1

b)

2

c)

3

d)

4

22.

a)

1

b)

2

c)

3

d)

4

23.

a)

1

b)

2

c)

3

d)

4

24.

a)

1

b)

2

c)

3

d)

4

25.

a)

1

b)

2

c)

3

d)

4

26.

a)

1

b)

2

c)

3

d)

4

27.

a)

1

b)

2

c)

3

d)

4

28.

a)

1

b)

2

c)

3

d)

4

29.

a)

1

b)

2

c)

3

d)

4

30.

a)

1

b)

2

c)

3

d)

4

31.

a)

1

b)

2

c)

3

d)

4

32.

a)

1

b)

2

c)

3

d)

4

33.

a)

1

b)

2

c)

3

d)

4

34.

a)

1

b)

2

c)

3

d)

4

35.

a)

1

b)

2

c)

3

d)

4

36.

a)

1

b)

2

c)

3

d)

4

37.

a)

1

b)

2

c)

3

d)

4

38.

a)

1

b)

2

c)

3

d)

4

39.

a)

1

b)

2

c)

3

d)

4

40.

a)

1

b)

2

c)

3

d)

4

41.

a)

1

b)

2

c)

3

d)

4

42.

a)

1

b)

2

c)

3

d)

4

43.

a)

1

b)

2

c)

3

d)

4

44.

a)

1

b)

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c)

3

d)

4

45.

a)

1

b)

2

c)

3

d)

4

46.

a)

1

b)

2

c)

3

d)

4

47.

a)

1

b)

2

c)

3

d)

4

48.

a)

1

b)

2

c)

3

d)

4

49.

a)

1

b)

2

c)

3

d)

4

50.

a)

1

b)

2

c)

3

d)

4

51.

a)

1

b)

2

c)

3

d)

4

52.

a)

1

b)

2

c)

3

d)

4

53.

a)

1

b)

2

c)

3

d)

4

54.

a)

1

b)

2

c)

3

d)

4

55.

a)

1

b)

2

c)

3

d)

4

56.

a)

1

b)

2

c)

3

d)

4

57.

a)

1

b)

2

c)

3

d)

4

58.

a)

1

b)

2

c)

3

d)

4

59.

a)

1

b)

2

c)

3

d)

4

60.

a)

1

b)

2

c)

3

d)

4

61.

a)

1

b)

2

c)

3

d)

4

62.

a)

1

b)

2

c)

3

d)

4

63.

a)

1

b)

2

c)

3

d)

4

64.

a)

1

b)

2

c)

3

d)

4

65.

a)

1

b)

2

c)

3

d)

4

66.

a)

1

b)

2

c)

3

d)

4

67.

a)

1

b)

2

c)

3

d)

4

68.

a)

1

b)

2

c)

3

d)

4

69.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

70.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

71.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

72.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

73.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

74.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

75.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

76.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

77.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

78.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

79.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

80.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

81.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

82.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

83.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

84.

Find the length of BC.

a)

2

b)

3

c)

9

d)

14

85.

Write the standard form of the circle:
x² + y² +10y = 39

a)

x² + (y+5)² = 49

b)

x² + (y+5)² = 64

c)

(x+5)² + y² = 61

d)

(x+5)² + y² = 100

86.

Find the measure of arc SR

a)

70⁰

b)

35⁰

c)

110⁰

d)

55⁰

87.

In the formula V=Bh, what B stand for?

a)

Base

b)

Area

c)

Area of the base

d)

height

88.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

89.

Solve for x, and y.

a)

x = 144
y = 60

b)

x = 12
y = 60

c)

x = 144
y = 66

d)

x = 145
y = 60

90.

A scale factor of less than one means

a)

that the prime image will be larger than the pre-image.

b)

That the prime image will be the same as the preimage.

c)

That you need to subtract that amount off of each side.

d)

That the prime image will be a reduction of the preimage.

91.

Take a guess! Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

92.

What is this construction?

a)

Perpendicular Bisector

b)

Perpendicular Through Point Not On Line

c)

Parallel Line Though Given Point

d)

Perpendicular Line Through Point On Line

93.

Write the equation of a line that is perpendicular to 2x + 3y = 9 and passes through the point (4, -8).

a)

y=-2/3x-16/3

b)

y=3/2x+16

c)

y=3/2x-14

d)

y=-2/3x-4/3

94.

Determine if the following pair of lines is parallel, perpendicular, or neither:
Line 1: 3x - 2y = 10
Line 2: (6, 5) and (3, 3)

a)

parallel

b)

perpendicular

c)

neither

95.

Determine if the following pairs of lines are parallel, perpendicular, or neither:
Line 1: y = 4/5x - 5
Line 2: 4y = -5x + 6

a)

parallel

b)

perpendicular

c)

neither

96.

In the figure below, ray was constructed starting from rays and . By using a compass, Dand G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of DEF and GEF

a)

are equal

b)

are NOT equal

c)

sum to 45°

d)

sum to 30°

97.

a)

1

b)

2

c)

3

d)

4

98.

Which of the following properties is true about rhombii?

a)

Diagonals bisect opposite angles.

b)

Diagonals are congruent.

c)

Four right angles.

99.

Name that shape.

a)

quadrilateral, rectangle

b)

quadrilateral, rectangle, square

c)

quadrilateral, parallelogram, rectangle

d)

quadrilateral, parallelogram, rectangle, square

100.

A quadrilateral with 4 equal sides could be:

a)

a rectangle or a trapezoid

b)

a square or a rhombus

c)

a parallelogram or a trapezoid

d)

a kite or a square

101.

What is NOT a property of a rectangle?

a)

Diagonals are congruent.

b)

Diagonals bisect each other.

c)

Diagonals are perpendicular.

d)

All angles are congruent.

102.

4 equal sides 2 pair of parallel sides diagonals bisect but are not equal in length

a)

Square

b)

Rhombus

c)

Trapezium

d)

Parallelogram

103.

The figure shows rectangle ABCD with point E as the intersection of diagonals AC and DB. Which of the following procedures can be used to find m∠AEB?

a)

Find the complement of ∠1, multiply the result by 2, and then subtract from 180.

b)

Find the supplement of ∠5, divide by 2, and then subtract the result from 180.

c)

Add ∠1, ∠3, and ∠4 together. Then subtract the result from 180.

d)

Add ∠2 , ∠3, and ∠5 together. Then subtract the result from 180.

104.

The purpose of math is to...

a)

Get a good grade

b)

Developing my ability to think critically and solve problems

c)

Learn useless information

d)

Make my life miserable

105.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

106.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Transitive Property, SSS(Side-Side-Side)

d)

Reflexive Property, SSS(Side-Side-Side)

107.

What Proves this triangle congruent.

a)

Vertical Angles Thm., Alternate Interior Angles Thm.

b)

Alternate Interior Angles Thm., Alternate Interior Angles Thm.

c)

Vertical Angles Thm., Alternate Exterior Angles Thm.

d)

Alternate Interior Angles Thm., Alternate Exterior angles Thm.

108.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

109.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

110.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

111.

a)

Choice (1)

b)

Choice (2)

c)

Choice (3)

d)

Choice (4)

112.

Find the length of BC.

a)

2

b)

3

c)

9

d)

14

113.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

114.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

115.

What is this construction?

a)

Perpendicular Bisector

b)

Perpendicular Through Point Not On Line

c)

Parallel Line Though Given Point

d)

Perpendicular Line Through Point On Line

116.

Fill in the missing proofs.

a)

Vertical Angles are Congruent, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles are Congruent

d)

Transitive Property, SSS(Side-Side-Side)

117.

Find the endpoint given the midpoint (3,4) and the other endpoint (-1,6)

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

118.

∆DEF and ∆TUV are congruent triangles. Which statement is known to be true?

a)

DE≅TU

b)

DF≅TU

c)

DF≅UV

d)

DE≅TV

119.

∆ABC is a right triangle. Find the length of x, the altitude of ∆ABC.

a)

54 units

b)

6√3 units

c)

3√6 units

d)

There is not enough information to determine the length of x.

120.

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.

121.

Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that partitions AB into a ratio 1:3.

a)

(1,5)

b)

(3,7)

c)

(4,4)

d)

(5,8)

122.

Find the equation of the line perpendicular to the line 2x - 5y = 10 that passes through the point ( -1, 4)

a)

y - 4 = 2/5(x-1)

b)

y +4 = 2/5(x + 1)

c)

y - 4 = -5/2(x+1)

d)

y - 4 = 5/2(x - 1)

123.

What method could be used to prove the triangles congruent?

a)

ASA

b)

AAS

c)

SAS

d)

HL

124.

Which object is formed when right triangle RST shown below is rotated around leg RD?

a)

A pyramid with a square base

b)

an isosoceles Triangle

c)

a right triangle

d)

A cone

125.

The vertices of triangle JKL havae coordinates J(5,1), K(-2, -3) and L(-4,1). Under which transformation is the image triangle J'K'L' not congruent to triangle JKL?

a)

a translation of two units to the right and two units down

b)

a counterclockwise rotation of 180 degrees around the origin

c)

a reflection over the x-axis

d)

a dilation with a scale factor of 2 and centered at the origin

126.

The center of circle Q has coordinates (3, -2). If circle Q passes through R(7,1), what is the length of its diameter?

a)

50

b)

25

c)

10

d)

5

127.

In the diagram below, congruent figures 1,2, and 3 are drawn. Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

a)

a reflection followed by a translation

b)

a rotation followed by a translation

c)

a translation followed by a reflection

d)

a translation followed by a rotation

128.

As shown in the diagram below, the angle of elevation from a point on the ground to the top of the tree is 34 degrees. If the point is 20 feet from the base of the tree, what is the height of the tree, to the nearest tenth of a foot?

a)

29.7

b)

16.6

c)

13.5

d)

11.2

129.

The cross section of a regular pyramid contains the altitude of the pyramid. The shape of this cross section is a

a)

circle

b)

square

c)

triangle

d)

rectangle

130.

A parallelogram must be a rectangle when its

a)

diagonals are perpendicular

b)

diagonals are congruent

c)

opposite sides are parallel

d)

opposite sides are congruent

131.

Given three distinct quadrilaterals, a square, a rectangle, and a rhombus, which quadrilaterals must have perpendicular diagonals?

a)

the rhombus only

b)

the rectangle and the square

c)

the rhombus and the square

d)

the rectangle, the rhombus and the square

132.

Which quadrilateral has diagonals that always bisect its angles and also bisect each other?

a)

rhombus

b)

rectangle

c)

parallelogram

d)

isosceles trapezoid

133.

Line segment RW has endpoints R(-4,5) and W(6,20). Point P is on RW such that RP:PW is 2:3. What are the coordinates of point P?

a)

(2,9)

b)

(0,11)

c)

(2,14)

d)

(10,2)

134.

What is the measure of the largest angle in the accompanying triangle?

a)

41

b)

46.5

c)

56

d)

83

135.

The diagram shows two intersecting paths within a circular garden. What is the length of the portion of the path marked x?

a)

8 and 1/3

b)

11

c)

3

d)

12

136.

In the diagram below, tangent PA and secant PBC are drawn to circle O from external point P. If PB =4 and BC = 5, what is the length of PA?

a)

20

b)

9

c)

8

d)

6

137.

For a circle of radius 7 feet, find the arc length s cut off by a central angle of 6 degrees

a)

42 pi feet

b)

7/10 pi feet

c)

7/30 pi feet

d)

7/15 pi feet

138.

The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 5/3 centered at the origin. Which statement is correct?

a)

The image of the line has the same slope as the pre-image but a different y-intercept

b)

the image of the line has the same y-intercept as the pre-image but a different slope

c)

The imagine of the line has the same slope and the same y-intercept as the pre-image

d)

the image of the line has a different slope and a different y-intercept from the pre-image.

139.

In the scalene triangle ABC shown in the diagram below, M< C = 90 degrees. Which equation is always true?

a)

sin A = Sin B

b)

Cos A = Cos B

c)

Cos A = Sin C

d)

Sin A = Cos B

140.

What is the value of x if sin (60) = cos (x + 10)?

a)

10

b)

20

c)

50

d)

60

141.

The density of the American white oak tree is 752 kilograms per cubic meter. If the trunk of an American white oak tree has a circumference of 4.5 meters and the height of the trunk is 8 meters, what is the approximate number of kilograms of the trunk?

a)

13

b)

9694

c)

13,536

d)

30,456

142.

A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height?

a)

1.2

b)

3.5

c)

4.7

d)

14.1

143.

Point M divides AB so that AM:MB = 1:2. If A has coordinates (-1, -3) and B has coordinates (8,9), find the coordinates of M.

a)

(2, 1)

b)

(5/3, 0)

c)

(5, 5)

d)

(23/3, 8)

144.

In the accompanying diagram, AB parallel to CD, m<CAB = 80, and m<DCB = 40. What is m<ACB?

a)

40

b)

60

c)

80

d)

120

145.

ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 3:1. Which ratio is also equal to 3:1?

a)

m<A: m<D

b)

m<B:m<F

c)

area ΔABC: area ΔDEF

d)

perimeter ΔABC:perimeter ΔDEF

146.

The measures of the angles of a triangle are in the ratio 2:3:4. In degrees, the measure of the largest angle of the triangle is:

a)

20

b)

40

c)

80

d)

100

147.

In the accompanying diagram, ΔABC is a right triangle and CD is the altitude to the hypotenuse AB. If AD = 4 and DB = 16, find the length of CD.

a)

4√5

b)

8

c)

4√15

d)

2√5

148.

In the accompanying diagram of ΔABC, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. If MN = 8, ML = 5, and NL = 6, find the perimeter of trapezoid BMNC.

a)

35

b)

31

c)

28

d)

26

149.

The sides of a triangle are 8, 12, and 15. The longest side of a similar triangle is 18. What is the ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle?

a)

2:3

b)

4:9

c)

5:6

d)

25:36

150.

Triangle PQT with RS parallel to QT. If PR = 12, RQ = 8, and PS = 21, what is the length of PT?

a)

14

b)

17

c)

35

d)

38

151.

Find the equation of the line perpendicular to the line 2x - 5y = 10 that passes through the point ( -1, 4)

a)

y - 4 = 2/5(x-1)

b)

y +4 = 2/5(x + 1)

c)

y - 4 = -5/2(x+1)

d)

y - 4 = 5/2(x - 1)

152.

In the diagram, ΔLMO is isosceles with LO = MO. If m<L = 55 and m<NOM = 28, what is m<N?

a)

27

b)

28

c)

42

d)

70

153.

In the accompanying diagram of right triangle ABC, altitude BD divides hypotenuse AC into segments with lengths of 3 and 9. Find the length of AB.

a)

3√3

b)

6√3

c)

6√2

d)

6

154.

Line y = 3x -1 is transformed by a dilation with a scale factor of 2 and centered at (3, 8). The line's image is:

a)

y = 3x - 8

b)

y = 3x - 4

c)

y = 3x - 2

d)

y = 3x - 1

155.

If ΔABC is similar to ΔADE, which measurements are justified by this similarity?

a)

AD = 3, AB = 6, AE = 4 and AC = 12

b)

AD = 5, AB = 8, AE = 7, and AC = 10

c)

AD = 3, AB = 9, AE = 5, and AC = 10

d)

AD = 2, AB = 6, AE = 5, and AC = 15

156.

What method could be used to prove the triangles congruent?

a)

ASA

b)

AAS

c)

SAS

d)

HL

157.

If A'(12, -18) is the image of A(16, -24) after a dilation centered at the origin. What is the scale factor of the dilation?

a)

4/3

b)

4

c)

3/2

d)

3/4

158.

a)

1

b)

2

c)

3

d)

4

159.

a)

1

b)

2

c)

3

d)

4

160.

a)

1

b)

2

c)

3

d)

4

161.

a)

1

b)

2

c)

3

d)

4

162.

a)

1

b)

2

c)

3

d)

4

163.

a)

1

b)

2

c)

3

d)

4

164.

a)

1

b)

2

c)

3

d)

4

165.

a)

1

b)

2

c)

3

d)

4

166.

a)

1

b)

2

c)

3

d)

4

167.

a)

1

b)

2

c)

3

d)

4

168.

a)

1

b)

2

c)

3

d)

4

169.

a)

1

b)

2

c)

3

d)

4

170.

a)

1

b)

2

c)

3

d)

4

171.

a)

1

b)

2

c)

3

d)

4

172.

a)

1

b)

2

c)

3

d)

4

173.

a)

1

b)

2

c)

3

d)

4

174.

a)

1

b)

2

c)

3

d)

4

175.

a)

1

b)

2

c)

3

d)

4

176.

a)

1

b)

2

c)

3

d)

4

177.

a)

1

b)

2

c)

3

d)

4

178.

a)

1

b)

2

c)

3

d)

4

179.

a)

1

b)

2

c)

3

d)

4

180.

a)

1

b)

2

c)

3

d)

4

181.

a)

1

b)

2

c)

3

d)

4

182.

a)

1

b)

2

c)

3

d)

4

183.

a)

1

b)

2

c)

3

d)

4

184.

a)

1

b)

2

c)

3

d)

4

185.

a)

1

b)

2

c)

3

d)

4

186.

a)

1

b)

2

c)

3

d)

4

Geometry Mixed Regents Review

Total questions: 186

Worksheet time: 4hrs 40mins

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