Free Printable Honors Geometry Terms

1.

If $a^2+b^2=\ c^2$ , then the triangle is...

a)

acute

b)

equilateral

c)

right

d)

obtuse

2.

If $a^2+b^2>c^2$ , then the triangle is...

a)

acute

b)

isosceles

c)

right

d)

obtuse

3.

If $a^2+b^2<c^2$ , then the triangle is...

a)

acute

b)

right

c)

obtuse

d)

isosceles

4.

The distance formula for any two points on a line is...

a)

$√\left(x^2-x^1\right)+\left(y^2-y^1\right)$

b)

$\sqrt{\left(x^1+x^2\right)}+\left(y^1+y^2\right)$

c)

$√\left(y^1-y^2\right)+\left(x^1-x^2\right)$

d)

$√\left(x^2+x^1\right)+\left(y^2+y^1\right)$

5.

$\sin\theta$ is equal to...

a)

hypotenuse/adjacent

b)

opposite/adjacent

c)

adjacent/hypotenuse

d)

opposite/hypotenuse

6.

$\cos\theta$ is equal to...

a)

adjacent side length divided by hypotenuse length

b)

sine of theta

c)

hypotenuse length divided by opposite side length

d)

opposite side length divided by adjacent side length

7.

$\tan\theta$ is equal to...

a)

Hypotenuse divided by opposite side

b)

Opposite side divided by adjacent side

c)

Opposite side multiplied by adjacent side

d)

Adjacent side divided by hypotenuse

8.

In a 45-45-90 right triangle, the hypotenuse is equal to ___ (Given one of the legs = x)

a)

x/2

b)

x^2

c)

2x

d)

x√2

9.

Given the short side x of a 30-60-90 right triangle, the hypotenuse is equal to...

a)

4x

b)

3x

c)

5x

d)

2x

10.

Given the short side x of a 30-60-90 right triangle, the long leg (not the hypotenuse) is equal to...

a)

x/2

b)

x^2

c)

2x

d)

x√3

11.

Given the long side x of a 30-60-90 right triangle, the short leg (not the hypotenuse) is equal to...

a)

x * sqrt(3)

b)

x / 2

c)

x / sqrt(3)

d)

x + sqrt(3)

12.

Given the long side x of a 30-60-90 right triangle, the hypotenuse is equal to...

a)

3x

b)

2(x/√3)

c)

x/√3

d)

2x

13.

Given the hypotenuse x of a 30-60-90 right triangle, the short leg is equal to...

a)

2x

b)

x^2

c)

x/3

d)

x/2

14.

Given the hypotenuse x of a 30-60-90 right triangle, the long leg is equal to...

a)

x / 2

b)

x * sqrt(2)

c)

2x

d)

(x/2) * sqrt(3)

15.

What is the formula to finding the volume of a prism/cylinder?

a)

V = Bh

b)

V = B^2h

c)

V = Bh^2

d)

V = 2Bh

16.

What is the formula to finding the surface area of a prism/cylinder?

a)

2(AB)^2 + 2(PB)*h

b)

AB^2(h)

c)

2(AB) + (PB*h)

d)

3(AB)(PB)(h)

17.

What is the formula to finding the volume of a pyramid/cone?

a)

2 * base area * height

b)

base area * height

c)

base area + height

d)

(1/3) * base area * height

18.

What is the formula to finding the surface area of a pyramid/cone?

a)

A = 0.5 * P * l + B

b)

A = 0.5 * l * h + B

c)

A = 0.5 * P * h + B

d)

A = 0.5 * P * l + h

19.

What is the formula to finding the volume of a sphere?

a)

π * r^2

b)

2 * π * r^3

c)

(4/3) * π * r^3

d)

(4/3) * π * r^2

20.

What is the formula to finding the surface area of a sphere?

a)

4πr^2

b)

πr^3

c)

2πr^2

d)

3πr^2

21.

What are the two types of angle relationships that intersect at exactly one point?

a)

Vertical

b)

Linear Pair

c)

Alternate Exterior

d)

Same Side Interior

22.

Which of the following are angle relationships that intersect at two points?

a)

Alternate Interior

b)

Alternate Exterior

c)

Same Side Interior

d)

Corresponding

23.

Which two types of angle relationships are corresponding?

a)

alternate interior

b)

linear pair

c)

alternate exterior

d)

same side interior

24.

Which of the following angle relationships are supplementary?

a)

alternate interior

b)

linear pair

c)

alternate exterior

d)

same side interior

25.

Given an angle a, if a < 90, the triangle is...

a)

right

b)

acute

c)

obtuse

d)

straight

26.

Given an angle a, if a = 90, the triangle is...

a)

right

b)

acute

c)

obtuse

d)

straight

27.

Given an angle a, if a > 90, the triangle is...

a)

right

b)

acute

c)

obtuse

d)

straight

28.

What is the formula for finding the midpoint of a line?

a)

( (x1 + x2) / 2, (y1 - y2) / 2 )

b)

( (x1 + x2) / 2, (y1 + y2) / 2 )

c)

( (x1 - x2) / 2, (y1 + y2) / 2 )

d)

( (x1 - x2) / 2, (y1 - y2) / 2 )

29.

What is the formula for finding one endpoint of a line given the midpoint?

a)

$\left(\frac{\left(x_1+x_2\right)}{2}+\frac{\left(y_1+y_2\right)}{2}\right)$

b)

$\left(\left(x_1+x_2\right),\ \left(y_1+y_2\right)\right)+\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$

c)

$\left(x_2,\ y_2\right)=\left(\left(2\left(xm\right)-x_1\right),\ \left(2\left(ym\right)-y_1\right)\right)$

d)

$\left(x_{2,}\ y_2\right)=\ \left(xm,\ ym\right)+b$

30.

What is the formula for finding the slope of a line?

a)

(y2 - y1) / (x2 - x1)

b)

(y1 + y2) / (x1 + x2)

c)

(y2 - y1) * (x2 - x1)

d)

(y1 - y2) / (x1 - x2)

31.

What is the point-slope formula for a line?

a)

y = mx + c

b)

y = mx + b

c)

y - y1 = m(x - x1)

d)

y = ax + b

32.

If two lines are parallel, then their slopes...

a)

are perpendicular

b)

have a negative reciprocal relationship

c)

are equal

d)

intersect at a right angle

33.

If two lines are perpendicular, then their slopes...

a)

are negative reciprocals of each other

b)

are always positive

c)

have the same slope

d)

are parallel to each other

34.

How do you find the scale factor of similar shapes?

a)

Count the number of vertices in each shape and divide to find the scale factor.

b)

Subtract the areas of the shapes to determine the scale factor.

c)

Add the perimeters of the shapes and divide to calculate the scale factor.

d)

Compare the lengths of corresponding sides of the shapes and calculate the ratio to determine the scale factor.

35.

Given lines e, f, and g, e is the shortest, and g is the longest. Which of the following is required for the three lines to form a triangle?

a)

The sum of the lengths of lines e and f must be equal to the length of line g

b)

The sum of the lengths of lines e and f must be less than the length of line g

c)

The sum of the lengths of lines e and f must be greater than the length of line g

d)

The sum of the lengths of lines f and g must be greater than the length of line e

36.

Given a triangle's side lengths 7 and 10, find the range of possible side lengths for side x.

a)

1 < x < 8

b)

5 < x < 12

c)

3 < x < 17

d)

10 < x < 15

37.

If a triangle does not have equal sides, it is...

a)

Scalene

b)

Right

c)

Isosceles

d)

Equilateral

38.

If a triangle has two equal sides, it is...

a)

isosceles

b)

right-angled

c)

scalene

d)

equilateral

39.

If a triangle has all three equal sides, it is...

a)

equilateral

b)

right-angled

c)

scalene

d)

isosceles

40.

How do you find the new coordinate of (a, b) after rotating it 90 degrees clockwise?

a)

(-b, a)

b)

(b, a)

c)

(-a, -b)

d)

(b, -a)

41.

How do you find the new coordinate of (a, b) after rotating it 90 degrees counterclockwise?

a)

(a, -b)

b)

(b, -a)

c)

(-b, a)

d)

(-a, -b)

42.

How do you find the new coordinate of (a, b) after rotating it 180 degrees clockwise?

a)

(a, -b)

b)

(b, a)

c)

(-a, b)

d)

(-a, -b)

43.

What is the formula for reflecting a point across any line?

a)

(2(line) - x, 2(line) - y)

b)

(2(line) + x, 2(line) + y)

c)

(x(line) - x, y(line) - y)

d)

(x_point - 2 * x_line, y_point - 2 * y_line) (x - 2(line), y - 2(line))

44.

When translating the x-coordinate, you move in which direction?

a)

Vertically

b)

Diagonally

c)

Clockwise

d)

Horizontally

45.

When translating the y-coordinate, you move in which direction?

a)

Vertically

b)

Diagonally

c)

Clockwise

d)

Horizontally

46.

How do you dilate coordinates?

a)

Multiply each coordinate by a scale factor

b)

Subtract each coordinate by a scale factor

c)

Add a random number to each coordinate

d)

Divide each coordinate by a scale factor

47.

The formula for finding the area of a circle is...

a)

A = πr^2

b)

A = 0.5πr^2

c)

A = r^2

d)

A = 2πr

48.

The formula for finding the circumference of a circle is...

a)

π * radius

b)

radius * 2

c)

2 * π * radius

d)

2 * radius

49.

How do you find the diameter of a circle?

a)

Multiply the radius of the circle by 2.

b)

Divide the circumference of the circle by pi.

c)

Subtract the radius of the circle from the circumference.

d)

Add the radius of the circle to itself.

50.

Select all the methods to find the radius of a circle (d = diameter, c = circumference, A = area)

a)

d/2

b)

c/2π

c)

√A/π

d)

2d

51.

Given the diameter x of a circle, find the radius

a)

x/2

b)

2/x

c)

x-2

d)

x*2

52.

The formula for finding the arc length of a circle is...

a)

$\left(\frac{360}{\theta}\right)\pi r^2$

b)

$\left(\frac{\theta}{360}\right)\pi r^2$

c)

$\left(\frac{360}{\theta}\right)2\pi r$

d)

$\left(\frac{\theta}{360}\right)2\pi r$

53.

The formula for finding the sector area of a circle is...

a)

$\left(\frac{360}{\theta}\right)\pi r^2$

b)

$\left(\frac{\theta}{360}\right)\pi r^2$

c)

$\left(\frac{360}{\theta}\right)2\pi r$

d)

$\left(\frac{\theta}{360}\right)2\pi r$

54.

List all the possible congruence methods for regular triangles

a)

SSS (Side Side Side)

b)

SAS (Side Angle Side)

c)

ASA (Angle Side Angle)

d)

AAS (Angle Angle Side)

e)

SSA (Side Side Angle)

55.

List all the possible congruence methods for right triangles

a)

HA (Hypotenuse Angle)

b)

LA (Leg Angle)

c)

HL (Hypotenuse Leg)

d)

LL (Leg Leg)

56.

When comparing two triangles, all three sides are the same for both triangles

a)

ASA (Angle-Side-Angle) congruence criterion

b)

SSS (Side-Side-Side) congruence criterion

c)

SSA (Side-Side-Angle) congruence criterion

d)

AAA (Angle-Angle-Angle) congruence criterion

57.

Name the triangle congruence method: Two sides and their included angle in one triangle are exactly equal to the corresponding two sides and their included angle in another triangle

a)

SAS (Side-Angle-Side)

b)

ASA (Angle-Side-Angle)

c)

AAS (Angle-Angle-Side)

d)

SSA (Side-Side-Angle)

58.

Name the triangle congruence method: Two angles and their included side in one triangle are exactly equal to the corresponding two angles and their included side in another triangle

a)

SAS (Side-Angle-Side)

b)

ASA (Angle-Side-Angle)

c)

AAS (Angle-Angle-Side)

d)

SSA (Side-Side-Angle)

59.

Name the triangle congruence method: Two triangles have any two equal angles and any one side adjacent to only one of the equal angles

a)

Angle-Side-Angle (ASA)

b)

Side-Side-Side (SSS)

c)

Angle-Angle-Side (AAS)

d)

Side-Angle-Side (SAS)

60.

Name the triangle congruence method: Two right triangles have the same hypotenuse and one congruent acute angle (excluding the right angle)

a)

Hypotenuse-Angle (HA)

b)

Leg-Angle (LA)

c)

Hypotenuse-Leg (HL)

d)

Leg-Leg (LL)

61.

Name the triangle congruence method: The leg and acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle.

a)

Hypotenuse-Angle (HA)

b)

Leg-Angle (LA)

c)

Hypotenuse-Leg (HL)

d)

Leg-Leg (LL)

62.

Name the triangle congruence method: The hypotenuse and one leg of one right triangle are congruent to the corresponding hypotenuse and leg of another right triangle.

a)

Hypotenuse-Angle (HA)

b)

Leg-Angle (LA)

c)

Hypotenuse-Leg (HL)

d)

Leg-Leg (LL)

63.

Name the triangle congruence method: The legs of one right triangle are congruent to the corresponding legs of another right triangle.

a)

Hypotenuse-Angle (HA)

b)

Leg-Angle (LA)

c)

Hypotenuse-Leg (HL)

d)

Leg-Leg (LL)

64.

What is the number of degrees in a quadrilateral?

a)

180

b)

270

c)

450

d)

360

65.

A quadrilateral with one set of parallel sides

a)

Trapezoid

b)

Hexagon

c)

Rhombus

d)

Rectangle

66.

A type of trapezoid with one pair of congruent sides

a)

equilateral trapezoid

b)

isosceles trapezoid

c)

right trapezoid

d)

scalene trapezoid

67.

A quadrilateral with two pairs of parallel lines

a)

Trapezoid

b)

Parallelogram

c)

Rhombus

d)

Rectangle

68.

Which of the following is true about parallelograms?

a)

Opposite sides are parallel and congruent

b)

Consecutive angles are supplementary

c)

Opposite angles are congruent

d)

All four sides are equal

69.

A quadrilateral with four congruent sides

a)

Pentagon

b)

Rhombus

c)

Triangle

d)

Rectangle

70.

A quadrilateral with four right angles

a)

Circle

b)

Parallelogram

c)

Rectangle

d)

Square

71.

A quadrilateral with four congruent sides and four right angles

a)

Rectangle

b)

Triangle

c)

Pentagon

d)

Square

72.

Which shapes are examples of parallelograms?

a)

Trapezoid

b)

Rhombus

c)

Rectangle

d)

Square

73.

A square can also be which of the following shapes?

a)

trapezoid

b)

rhombus

c)

rectangle

d)

triangle

e)

pentagon

74.

Area of a triangle

a)

(side * side) / 2

b)

(base * height) * 2

c)

(base + height) / 2

d)

(base * height) / 2

75.

Area of a rectangle

a)

Area = length / width

b)

Area = length + width

c)

Area = length x width

d)

Area = 2 x (length + width)

76.

Area of a parallelogram

a)

Area = base x base

b)

Area = base + height

c)

Area = base x height

d)

Area = 0.5 x base x height

77.

Area of a square

a)

Area = side length + side length

b)

Area = side length^2

c)

Area = 4 x side length

d)

Area = side length x 2

78.

Area of a rhombus

a)

2(d1)(d2)

b)

1/2(d1)(d2)

c)

(d1)(d2)^2

d)

sqrt(d1)(d2)

79.

Area of a regular polygon

a)

Area = 0.5 * side * perimeter

b)

Area = 0.5 * radius * perimeter

c)

Area = 0.5 * apothem * perimeter

d)

Area = 0.5 * apothem * side

80.

Area of a trapezoid

a)

(a * b) / 2

b)

(a + b) * h

c)

(a + b + h) / 2

d)

(a + b) * h / 2

81.

Interior angle sum of any regular polygon

a)

(n+2) * 180 degrees

b)

(n-2) * 180 degrees

c)

(n-1) * 180 degrees

d)

n * 180 degrees

82.

One interior angle measure of a regular polygon

a)

(n+2) * 180 / n

b)

(n-1) * 180 / n

c)

(n-2) * 180 / n

d)

(n/2) * 180

83.

One exterior angle measure of a regular polygon

a)

45 divided by the number of sides of the regular polygon

b)

90 divided by the number of sides of the regular polygon

c)

180 divided by the number of sides of the regular polygon

d)

360 divided by the number of sides of the regular polygon

84.

A pair of supplementary angles include angles 3x + 11 and 4x + 1. Find the value of x

a)

24

b)

16

c)

30

d)

12

85.

A pair of supplementary angles include angles 5x + 1 and x + 11. Find the value of x

a)

35

b)

20

c)

28

d)

15

86.

Classify this angle as acute, obtuse, or right: 38

a)

acute

b)

obtuse

c)

straight

d)

reflex

87.

Classify this angle as a cute, obtuse, or right: 30

a)

reflex

b)

straight

c)

acute

d)

obtuse

88.

Angle A and Angle B from a vertical pair. Angle A = 42 degrees. Find the measure of Angle B

a)

42 degrees

b)

40 degrees

c)

50 degrees

d)

45 degrees

89.

Angle A and Angle B are consecutive angles. Angle A = 94. Find the measure of Angle B

a)

92

b)

86

c)

100

d)

78

90.

Angle A and Angle B form a vertical pair. Angle A = 76. Find the measure of Angle B

a)

56

b)

90

c)

120

d)

76

91.

An isosceles triangle has two sides: x + 18 and 11. If these two sides are congruent, what is the value of x?

a)

-7

b)

14

c)

3

d)

-5

92.

Calculate the distance between points (3, 10) and (3, 4)

a)

8

b)

6

c)

12

d)

4

93.

Calculate the distance between points (2, 4) and (2, -3)

a)

5

b)

10

c)

3

d)

7

94.

Calculate the distance between points (8, -4) and (-2, -4)

a)

12

b)

5

c)

2

d)

10

95.

Calculate the distance between points (11, -6) and (11, 8)

a)

14

b)

10

c)

16

d)

12

96.

Calculate the distance between points (-2, 3) and (-7, -7)

a)

10 units

b)

7√2 units

c)

4√13 units

d)

5√5 units

97.

Calculate the distance between points (2, -9) and (-1, 4)

a)

approximately 13.34

b)

approximately 7.89

c)

approximately 10.52

d)

approximately 15.76

98.

Calculate the distance between points (5, 9) and (-7, -7)

a)

30

b)

25

c)

15

d)

20

99.

Calculate the distance between points (8, 5) and (-1, 3)

a)

sqrt(105)

b)

sqrt(93)

c)

sqrt(85)

d)

sqrt(74)

100.

Calculate the distance between points (-10, -7) and (-8, 1)

a)

4sqrt(13)

b)

2sqrt(17)

c)

3sqrt(10)

d)

sqrt(65)

101.

Calculate the distance between points (-6, -10) and (-2, -10)

a)

4

b)

2

c)

0

d)

6

102.

Translate coordinate (6, -3) down 4 units

a)

(6, -2)

b)

(6, -4)

c)

(2, -3)

d)

(6, -7)

103.

Translate coordinate (3, 2) left 17 units

a)

(-14, 2)

b)

(20, 2)

c)

(3, -17)

d)

(-14, 3)

104.

Translate coordinate (4, 11) left 6 units and up 3 units

a)

(-8, 8)

b)

(-2, 14)

c)

(-10, 12)

d)

(-5, 9)

105.

A right triangle has legs a and b. a = 27, b = 36. Find the hypotenuse

a)

45

b)

72

c)

54

d)

63

106.

A right triangle has legs a and b. a = 1.5, b = 2. Find the hypotenuse

a)

2.5

b)

3.5

c)

1

d)

4

107.

A right triangle has legs a and b. a = 9.3, b =6.8 . Find the hypotenuse.

a)

11.53

b)

13.75

c)

10.24

d)

8.91

108.

Find the hypotenuse if the legs are 42 cm and 40 cm

a)

58 cm

b)

60 cm

c)

50 cm

d)

45 cm

109.

A triangle has side lengths 12, 16, and 20. Determine if this triangle is acute, right, or obtuse.

a)

Isosceles

b)

Obtuse

c)

Right

d)

Acute

110.

A triangle has side lengths 12, 16, and 20. Classify the triangle as acute, right, or obtuse.

a)

Isosceles

b)

Obtuse

c)

Acute

d)

Right

Honors Geometry Terms

Total questions: 110

Worksheet time: 58mins

Similar Resources on Wayground