Free Printable Geometry EOC Review #1

1.

Which one of these is the correct slope formula?

a)

b)

c)

d)

2.

Which formula is the correct one to use for midpoint?

a)

b)

c)

d)

3.

Which label would NOT be appropriate for volume.

a)

square miles

b)

inches³

c)

cm³

d)

cubic feet

4.

What is the formula for the volume of a prism?

a)

V = P*h

b)

V = B*h

c)

V = (1/3)P*h

d)

V = (1/3)B*h

5.

What is the formula for volume of a CONE?

a)

V = π r²

b)

V = π r² h

c)

V = ⅓ π r² h

d)

V = ⅓ L W H

6.

What is the formula for the volume of a pyramid?

a)

V = P*h

b)

V = B*h

c)

V = (1/3)P*h

d)

V = (1/3)B*h

7.

What is the volume formula for a sphere?

a)

V = (4 ∕ 3)πr³

b)

V = (1 ∕ 3)πr²h

c)

V = πr²h

d)

V = (1 ∕ 3)Bh

8.

What is the formula for volume of a CYLINDER?

a)

V = π r²

b)

V = π r² h

c)

V = ⅓ π r² h

d)

V = ⅓ L W H

9.

V = 4/3⋅π⋅r³

a)

Sphere

b)

Cube

c)

Triangular Pyramid

d)

Rectangular Prism

10.

V = π⋅r²⋅H

a)

Cylinder

b)

Cone

c)

Sphere

d)

Cube

11.

V = s³

a)

Cube

b)

Sphere

c)

Rectangular Prism

d)

Square Pyramid

12.

$\left(x-h\right)^2+\left(y-k\right)^2=r^2$ This is the formula for what?

a)

A triangle

b)

Distance

c)

Pythagorean Theorem

d)

A circle

13.

$\left(x-5\right)^2+y^2=14^2$ What is the center and radius of this circle?

a)

(5, 0) radius is 7

b)

(0,5) radius is 14

c)

(5,0) radius is 14

14.

How could you prove these triangles congruent?

a)

SSS, All three sides are congruent

b)

SAS, Two sides and an included angle

c)

AAS, Two angles and a non included side.

d)

CPCTC

15.

What angle is congruent to Angle D and Why?

a)

Angle C because of corresponding angles

b)

Angle A because of vertical angles

c)

Angle C because of alternate interior angles

d)

Angle B because of triangle sum theorem

16.

Area of a square is $A=s^2$ . Which equation will find the side of a square?

a)

$s=2A$

b)

$s=A^2$

c)

$s=\sqrt{A}$

d)

$s=\sqrt{2A}$

17.

Area of a rectangle is $A=lw$ . Which equation will find the width of the rectangle?

a)

$w=Al$

b)

$w=\frac{A}{l}$

c)

$w=\frac{l}{A}$

d)

$l=\frac{A}{w}$

18.

Area of a trapezoid is $A=\frac{1}{2}h\left(b_1+b_2\right)$ . What is the equation to find the height of a trapezoid?

a)

$h=\frac{2A}{\left(b_{1\ }+b_2\right)}$

b)

$h=\frac{A}{2\left(b_1+b_2\right)}$

c)

$h=\frac{\left(b_1+b_2\right)}{2A}$

d)

$h=\frac{\left(b_1+b_2\right)}{2A}$

19.

Volume of a right circular cylinder is $V=\pi r^2h.$ Which equation will find the height of a right circular cylinder?

a)

$h=\frac{V\pi}{r^2}$

b)

$h=\frac{r^2}{V\pi}$

c)

$h=\frac{V}{\pi r^2}$

d)

$h=\frac{\pi r^2}{V}$

20.

a)

b)

c)

d)

21.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

22.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

23.

a)

b)

c)

d)

e)

24.

Which formulas can be used to find the circumference of a circle?

a)

C = π r²

b)

C = 2π r

c)

C = π d

d)

C = 2πd

25.

Which formula can be used to find the the measure of the angle shown?

a)

angle = 1/2(arc)

b)

angle = 1/2(arc + arc)

c)

angle = 1/2(big - small)

d)

angle = arc

26.

a)

Volume of a Sphere

b)

Volume of a Cylinder

c)

Volume of a Cone

27.

Area of a triangle.

a)

A=Bh

b)

A=bh

c)

A=½bh

d)

A=½(b₁+b₂)h

28.

Area of Parallelogram

a)

A=bh÷2

b)

A=bh

c)

A=(b1 + b2)h/2

d)

V=lwh

29.

Which is the formula for the area of a circle?

a)

$2\pi r$

b)

$\frac{4}{3}\pi r^3$

c)

$\pi r^2$

d)

$\pi d$

30.

Which formula is:

A=\frac{1}{2}bh

a)

Area of a triangle

b)

Area of a trapezoid

c)

Area of a circle

d)

Area of a rectangle

31.

Which formula is:

P=4s

a)

Area of a square

b)

Perimeter of a square

c)

Perimeter of a triangle

d)

Area of a rectangle

32.

True or False?

2\pi r\ =\pi d

a)

True

b)

False

33.

Which expression would find the circumference of a circle?

a)

$\pi r^2$

b)

$\pi d$

c)

$\frac{2}{3}\pi r^2$

d)

$4\pi$

34.

Identify the formula:

A=\frac{1}{2}\left(b_1+b_2\right)h

a)

Area of Pentagon

b)

Area of a Trapezoid

c)

Area of a Parallelogram

d)

Area of a Square

35.

The distance around an object is called the

a)

area

b)

perimeter

36.

The diameter of a circle is:

a)

The measurement around the circle.

b)

The distance from an edge of a circle to another edge.

c)

The distance from the center of the circle to an edge of a circle

d)

The distance from an edge of a circle to another edge through the center.

37.

The radius is....

a)

a line that crosses through the center and touches each edge

b)

the center point of a circle

c)

a line from the center point to the edge of the circle

d)

an element in science

38.

What is the sum of the angles below?

a)

90 degrees

b)

180 degrees

c)

360 degrees

d)

270 degrees

39.

What is the sum of the angles below?

a)

90 degrees

b)

180 degrees

c)

360 degrees

d)

270 degrees

40.

What is the formula for the volume of

a)

(base x height) / 2

b)

(length x width x height) / 2

c)

length x width x height

d)

length x width

41.

What is the sum of the angles?

a)

60 degrees

b)

90 degrees

c)

180 degrees

d)

360 degrees

42.

Which formula is used to find the measure of the angle shown?

a)

angle = 1/2(arc)

b)

angle = 1/2(arc + arc)

c)

angle = 1/2(big - small)

d)

angle = arc

43.

Which label would NOT be appropriate for volume.

a)

square miles

b)

inches³

c)

cm³

d)

cubic feet

44.

V = π⋅r²⋅H

a)

Cylinder

b)

Cone

c)

Sphere

d)

Cube

45.

V = 4/3⋅π⋅r³

a)

Sphere

b)

Cube

c)

Triangular Pyramid

d)

Rectangular Prism

46.

How do you know which is the base of your prism?

a)

The two faces that are equal and connected.

b)

Any face can be the base.

c)

The rectangular sides.

d)

There is no way to tell.

47.

For the volume of a prism, V= Bh,
What does the h stand for?

a)

Area of the base

b)

length of the base

c)

height of the base

d)

length from base to base

48.

When measuring area, what label do you use?

a)

units

b)

units²

c)

units³

49.

What is the formula for finding the area of a trapezoid?

a)

A = 1/2 x b x h

b)

A = 1/2 h (b₁+ b₂)

c)

A = 1/2 (b₁+b₂)

d)

A = b x h/2

50.

What is the formula for finding the area of a parallelogram?

a)

A = b x h

b)

A = 1/2 b x h

c)

P = a + b + c

d)

A = 1/2 (b1 + b2) h

51.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

52.

A(2,0) B(-2,4) is written as

a)

$d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}$

b)

$d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}$

c)

$d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}$

d)

$d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}$

53.

What is the slope of the following graph?

a)

$m\ =\ 4$

b)

$m\ =\ 3$

c)

$m\ =\ \frac{1}{3}$

d)

$m\ =\ -3$

54.

How is AB written in the distance formula?

a)

$d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$

b)

$d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

c)

$d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

d)

$d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

55.

Which transformation will result in being similar to the original figure but has a larger area?

a)

Dilation with scale factor of 2

b)

Dilation with scale factor of 1

c)

Dilation with scale factor of .5

d)

Translation

56.

When you translate, (x,y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

57.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

58.

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

59.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate 90º clockwise around the origin

b)

Rotate 90º degrees around the origin and then translate right.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90º counter clockwise about the origin.

60.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

61.

A special parallelogram in which all the sides are the same length.

a)

hexagon

b)

rhombus

c)

rectangle

d)

pentagon

62.

True or False?

a)

True

b)

False

63.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

64.

3 & 5

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

consecutive interior

e)

none

65.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

66.

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)

67.

A parallelogram is a rectangle when the diagonals ...

a)

are perpendicular.

b)

bisect each other.

c)

are congruent.

d)

are parallel.

68.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

69.

What does a proof always start with?

a)

Theorems

b)

Given Statement(s)

c)

Postulates

d)

Reasons

70.

What property states that something is congruent to itself?

a)

Symmetry Property

b)

Congruence Property

c)

Reflexive Property

71.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

72.

Find x and y.

a)

x=8√2, y = 8

b)

x = 8, y = 16

c)

x=8, y = 8√2

d)

x = 8, y = 16√2

73.

Find x and y.

a)

x=4, y = 2

b)

x=2, y = 4

c)

x=√3, y = 2√3

d)

x=2√3, y=√3

74.

∠B is a complement of ∠A and m∠A= 65.2° Find m∠B

a)

22.8°

b)

24.8°

c)

114.8°

d)

115.8°

75.

What does "perpendicular" mean?

a)

Two lines that intersect

b)

Two coplanar lines that never intersect

c)

Two non-coplanar lines that never intersect

d)

Two lines that intersect at a 90-degree angle

76.

Point P is at $\left(4,8\right)$ on a coordinate plane. After a reflection across the line $y=x$ , $P'$ would be at:

a)

$\left(8,4\right)$

b)

$\left(-4,8\right)$

c)

$\left(8,-4\right)$

d)

$\left(4,-8\right)$

e)

$\left(-8,4\right)$

77.

Are the triangles similar?

a)

Yes

b)

No

78.

a)

A

b)

B

c)

C

d)

D

79.

Which equation represents a line that passes through (9,5) and is perpendicular to this line?
$y=\frac{1}{5}x+3$

a)

𝑦= −5𝑥+50

b)

$𝑦=-\frac{1}{5}𝑥+6\frac{4}{5}$

c)

$𝑦=\frac{1}{5}𝑥+3\frac{1}{5}$

d)

𝑦= 5𝑥−40

80.

Which of the figures below is the correct construction of an angle bisector?

a)

b)

c)

d)

81.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

82.

Which of the following algebraic expressions represents the total angle measure in the kite?

a)

180 = 110 + x

b)

180 = 110 + 2x

c)

360 = 110 + x

d)

360 = 110 + 2x

83.

MNKL is a square. Find the measure of angle MKN.

a)

180 degrees

b)

90 degrees

c)

60 degrees

d)

45 degrees

84.

Name the intersection of plane X and plane Y

a)

Plane Y

b)

Line p

c)

Line q

d)

no intersection

85.

Find the value of x. (8 is half of the chord)

a)

x = 3

b)

x = 6

c)

x = 8

d)

x = 16

Geometry EOC Review #1

Total questions: 85

Worksheet time: 1hrs 16mins

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