Free Printable Geometry Regents FULL Study Guide

1.

What is the minimum amount of time students must stay for the exam?

a)

2 hours

b)

1 hour

c)

3 hours

d)

30 minutes

2.

When in doubt during constructions, what should you use?

a)

Perpendicular bisector

b)

Parallel lines

c)

Angle bisector

d)

Median

3.

What should you use for volume questions?

a)

Reference sheet

b)

Calculator only

c)

Guessing

d)

Drawing a diagram

4.

If you are given a coordinate plane and asked for area, what method should you use?

a)

Box method

b)

Triangle method

c)

Circle method

d)

Substitution method

5.

Which theorem should you use if you have a right triangle and are given two sides?

a)

Pythagorean theorem

b)

Law of Sines

c)

Law of Cosines

d)

Midpoint theorem

6.

What is the point-slope form of a line AKA just another way to write an equation of a line

a)

y - y₁ = m(x - x₁)

b)

y = mx + b

c)

y = b + mx

d)

x - y = m(x + y)

7.

What is the formula for the area of a circle?

a)

A=πr²

b)

A=2πr

c)

A=πd

d)

A=r²π/2

8.

What is the formula for the median of a trapezoid?

a)

(Base 1 + Base 2) / 2

b)

(Base 1 - Base 2) / 2

c)

(Base 1 × Base 2) / 2

d)

(Base 1 + Base 2) × 2

9.

What is the formula for the midpoint between two points? Remember the CHANT!! "Midpoint, midpoint what do you do??..."

a)

((x₁ + x₂)/2, (y₁ + y₂)/2)

b)

(x₁ + x₂, y₁ + y₂)

c)

(x₁ - x₂, y₁ - y₂)

d)

((x₁ - x₂)/2, (y₁ - y₂)/2)

10.

What is the formula for arc length?

a)

Arc Length= 2πr × θ/360

b)

Arc Length=πr²× θ/360

c)

Arc Length=2πr

d)

Arc Length=πd

11.

What is the formula for the area of a sector?

a)

Area of a sector= πr² × θ/360

b)

Area of a sector= 2πr × θ/360

c)

Area of a sector= πr²

d)

Area of a sector= πd

12.

What is the equation of a circle?

a)

(x - h)² + (y - k)² = r²

b)

y = mx + b

c)

x² + y² = r²

d)

(x + h)² + (y + k)² = r²

13.

What does the bottom - top/ # of parts formula refer to?

a)

Directed line segment

b)

Area of a triangle

c)

Slope

d)

Arc length

14.

What should you do if you see two triangles in a proof?

a)

Try to prove them congruent or similar

b)

Ignore them

c)

Find their area

d)

Draw a circle

15.

What is the formula for the area of a triangle?

a)

A=½bh

b)

A=bh

c)

A=b + h

d)

A=2bh

16.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

17.

What does the H stand for in the acronym

SOH-CAH-TOA

a)

help

b)

hypotenuse

c)

opposite

d)

adjacent

18.

What is the slope formula?

a)

$m\ =\ \frac{y_2-\ y_1}{x_{2\ }-\ x_1}$

b)

$\left(x_1,\ y_1\right)\ \left(x_2,\ y_2\right)$

c)

$m\ =\ \frac{x_2-\ x_1}{y_{2\ }-\ y_1}$

19.

What does perimeter mean?

a)

the amount of space inside a shape

b)

the distance around the shape

c)

the amount of space inside a shape divided by two

d)

half the distance around a shape

20.

What does CPCTC stand for?

a)

Corresponding Parts of Congruent Triangles are Congruent

b)

Congruent Parts of Congruent Triangles are Corresponding

c)

Colorful Pieces of Corresponding Triangles are Congruent

d)

Congruent Pieces of Congruent Triangles are Congruent

21.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

22.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

23.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

24.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

25.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

26.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{DC}\cong\overline{DC}$ ; Reflexive Property

b)

$\angle A\cong\angle B$ ; Base Angles of Isosceles Triangle are Congruent

c)

$\angle1\cong\angle2$ ; Reflexive Property

d)

$\overline{AD}\cong\overline{DB}$ ; Definition of Bisect

27.

Classify the following triangle by side lengths

a)

Isosceles triangle

b)

Equilateral triangle

c)

Scalene triangle

28.

Classify the following triangle by side lengths

a)

Isosceles triangle

b)

Equilateral triangle

c)

Scalene Triangle

29.

Classify the triangle by its sides.

a)

Scalene

b)

Isosceles

c)

Equilateral

30.

Classify this triangle by its angles

a)

Acute

b)

Obtuse

c)

Equilangular

d)

Right

31.

A segment joining a vertex to the opposite side so that is perpendiuclar to that side.

a)

perpendicular bisector

b)

angle bisector

c)

median

d)

altitude

32.

Which of the following describes a median of a triangle?

a)

A. A middle of the triangle.

b)

B. A segment with endpoints at the vertex and midpoint of the opposite side.

c)

C. A segment that connects two midpoints of two sides.

d)

D. A segment that connects the vertex and the opposite side at 90 degrees.

33.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

34.

The longest side of a triangle would be located where on a triangle?

a)

Across from the smallest angle

b)

Across from the largest angle

c)

Cannot tell.

d)

Adjacent to the smallest side.

35.

The smallest angle would be located where in a triangle?

a)

Across from the smallest side.

b)

Across from the largest side

c)

Cannot tell

36.

Which set of numbers may represent the lengths of the sides of a triangle?

a)

{2,5,9}

b)

{6,6,7}

c)

{6,4,2}

d)

{7,8,1}

37.

The slope of perpendicular lines are negative reciprocals

a)

True

b)

False

38.

Parallel lines have the same slope

a)

True

b)

False

39.

The following two numbers are negative reciprocals of each other
2 and -1/2

a)

True

b)

False

40.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 7 and m = -7

a)

Parallel

b)

Perpendicular

c)

Neither

41.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

42.

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

a)

Parallel

b)

Perpendicular

c)

Neither

43.

What is the formula for the area of a triangle?

a)

A = 1/2 bh

b)

A = bh

c)

A = s + s + s

d)

A = 2bh

44.

Find the area of this square

a)

12 feet²

b)

66 feet

c)

13 feet

d)

36 square feet

45.

True or False: Rigid motions preserve angle measure and distance (side lengths)

a)

True

b)

False

46.

A rigid motion creates figures that are ____________.

a)

congruent

b)

different sizes

c)

similar

d)

larger

47.

Which of the following is NOT a rigid motion?

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

48.

What scale factor was used to produce the image?

a)

2

b)

-2

c)

¹/₂

d)

1

49.

In a dilation what mathematical operation is used with the scale factor?

a)

addition

b)

subtraction

c)

multiplication

d)

division

50.

Similar figures have congruent corresponding ______ and proportional corresponding ______ .

a)

measure; shapes

b)

angles; shapes

c)

angles; side lengths

d)

shape; side lengths

51.

If the triangles are similar, what strategy could you use to solve for the question mark?

a)

REDRAW YOUR TRIANGLES

b)

don't redraw and make Miss P sad

52.

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

What strategy would help you solve this??

a)

proportion

b)

make small, medium, large triangle CHART

c)

triangle sum theorem

d)

compass

53.

Which is not a similar triangle theorem?

a)

ASA∼

b)

SAS∼

c)

SSS∼

d)

AA∼

54.

What is the missing number?
sin(60) = cos( )

a)

10

b)

20

c)

30

d)

40

55.

What is the missing number?
Sin( ) = Cos(80)

a)

5

b)

10

c)

15

d)

20

56.

What is the missing number?
Sin(70) = Cos ( )

a)

20

b)

25

c)

30

d)

35

57.

Select the correct equation to solve for x.

a)

3x + 6 = 2x + 5

b)

5x = 11

c)

6x = 30

d)

2x(3x) = 6(5)

58.

What rule do you need to solve for x

a)

part (part)=part(part)

b)

O (W) = O (W)

59.

Solve for x.

a)

$130\degree$

b)

$260\degree$

c)

$65\degree$

d)

$230\degree$

60.

Is this an inscribed angle?

a)

Yes

b)

No

61.

Is this an inscribed angle?

a)

Yes

b)

No

62.

Find the measure of the ?

a)

40˚

b)

110˚

c)

122˚

d)

84˚

63.

Find the measure of the ?

a)

48˚

b)

110˚

c)

122˚

d)

84˚

64.

inscribed angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

65.

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

66.

What is the relationship between a central angle and its arc?

a)

The angle is half of the arc.

b)

The arc is half of the angle.

c)

The arc is smaller than the angle.

d)

They are congruent.

67.

Solve for x.

a)

5

b)

20

c)

40

d)

85

68.

Find the measure of the indicated angle.

a)

60°

b)

120°

c)

30°

d)

90°

69.

Find the value of x.

a)

45

b)

10

c)

20

d)

90

70.

Given: (x - 4)²+ (x - 3)²= 121.

What is the radius of this circle?

a)

4

b)

3

c)

11

d)

121

71.

The distance around a circle

is called the...

a)

Diameter

b)

Radius

c)

Circumference

d)

Area

72.

Given: (x + 7)² + (y - 2)² = 144

What is the radius of this circle?

a)

7

b)

12

c)

13

d)

144

73.

Given: (x + 2)² + (y - 4)² = 41

What is the center of this circle?

a)

(2, 4)

b)

(-2, 4)

c)

(2, - 4)

d)

(-2, - 4)

74.

Given: (x - 12)² + (y - 8)² = 25

What is the center and

the radius of this circle?

a)

Center: (12, 8)

Radius = 5 units

b)

Center: (-12 ,8)

Radius = 25 units

c)

Center: (-12,-8)

Radius = 5 units

d)

Center: (12, 8)

Radius = 25 units

75.

What is the formula for density?

a)

density = mass x volume

b)

density = mass / volume

c)

density = mass + volume

d)

density = mass - volume

76.

Find the area of the triangle. Round your answer to the nearest tenth.(1 decimal place)

a)

24.9 cm²

b)

25 cm²

c)

49.8 cm²

d)

49.9 cm²

77.

Find the area of the triangle. Round your answer to the nearest tenth.(1 decimal place)

a)

16.8 cm²

b)

15.7 cm²

c)

11.5 cm²

d)

11.4 cm²

78.

What is the acronym to help you remember the ratios to use in trigonometry?

a)

RIGHTANG

b)

SOHCAHTOA

c)

SHOCHATOA

79.

What leg is considered the hypotenuse?

a)

Any side

b)

the side opposite the smallest angle

c)

the side opposite the right angle

d)

the side opposite the shortest leg

80.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

81.

What is the formula for the area of a triangle when you are given a reference angle?

a)

A= 1/2absinc

b)

A= bh

c)

A=2bh

d)

A=lwh

Geometry Regents FULL Study Guide

Total questions: 81

Worksheet time: 7hrs 43mins

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