Free Printable 4th 9-weeks Save Geometry

1.

The legs of an isosceles trapezoid are _____.

a)

parallel

b)

perpendicular

c)

congruent

d)

skew

2.

Base angles of an isosceles trapezoid are _____.

a)

neither

b)

supplementary

c)

congruent

3.

A trapezoid is a quadrilateral with exactly one pair of _____ sides.

a)

parallel

b)

congruent

c)

perpendicular

d)

skew

4.

Find the measure of DG.

a)

14

b)

28

c)

12

d)

16

5.

Find the missing angle of the trapezoid.

a)

65

b)

115

c)

180

d)

None of these

6.

Find the value of x.

a)

4

b)

6

c)

5

d)

129

7.

Find the measure of ∠K:

a)

114°

b)

124°

c)

77°

d)

66°

8.

Find the value of x.

a)

23

b)

28

c)

30

d)

Cannot be determined

9.

What is the slope of Side AC?

a)

2/5

b)

5/2

c)

5

d)

√(29)

10.

If you wanted to prove that Quadrilateral ABCD is a Parallelogram, what would be the best piece of evidence to use?

a)

Length of AC = Length of BD, therefore Side AC is congruent to Side BD

b)

Length of AC = Length of BD, therefore Side AC is parallel to Side BD

c)

Slope of AC = Slope of BD, therefore Side AC is parallel to Side BD

d)

The Slopes of AC and BD are opposite reciprocals, therefore Side AC is parallel to Side BD

11.

If you wanted to prove that Quadrilateral ABCD is a rhombus, what would be the best piece of evidence to use?

a)

The length of each side is √(34), therefore all sides are congruent.

b)

The length of each side 8, therefore all sides are congruent.

c)

The slope of AC and BD is 5/3, therefore AC and BD are parallel.

d)

The slopes of the sides are opposite reciprocals, therefore opposite sides are parallel.

12.

If you want to prove that Quadrilateral ABCD is a square, SELECT ALL the pieces of evidence you would need to use.

a)

The length of each side is √(68), therefore all sides are congruent

b)

The slope of AC and BD are both 1/4, therefore AC is parallel to BD

c)

The slopes of AC and CD are opposite reciprocals, therefore AC is perpendicular to CD

d)

The slopes of AB and BD are opposite reciprocals, therefore AB and BD are perpendicular.

13.

$\sqrt{50}$

a)

$5\sqrt{2}$

b)

$\sqrt{5}$

c)

$2\sqrt{5}$

d)

$25\sqrt{2}$

14.

Simplify
3√6 - 4√6

a)

-√6

b)

√6

c)

-1

d)

Already simplified

15.

Simplify
3√8 + 3√2

a)

9√2

b)

6√10

c)

5√2

d)

Already simplified

16.

Simplify
3√5 + √20 - √45

a)

3√-20

b)

2√-20

c)

3√5

d)

2√5

17.

Simplify

\frac{\sqrt{5}}{\sqrt{3}}

a)

$\frac{\sqrt{5}}{3}$

b)

$\frac{\sqrt{15}}{3}$

c)

$\frac{\sqrt{15}}{9}$

d)

$\frac{\sqrt{5}}{9}$

e)

None of these

18.

The number under the radical sign or square root sign is called the ______.

a)

radical sign

b)

radicand

c)

factor

d)

exponent

19.

Find the length of AB.

a)

36

b)

18

c)

6

d)

12

20.

The accompanying diagram shows a 24-foot ladder leaning against a building. A steel brace extends from the ladder to the point where the building meets the ground. The brace forms a right angle with the ladder.If the steel brace is connected to the ladder at a point that is 10 feet from the foot of the ladder, which equation can be used to find the length, x, of the steel brace?

a)

$\frac{10}{x}=\frac{x}{14}$

b)

$\frac{10}{x}=\frac{x}{24}$

c)

$10^2+x^2=14^2$

d)

$10^2+x^2=24^2$

21.

In right triangle ABC below, CD is the altitude to hypotenuse AB. If CD=6 and the ratio of AD to AB is 1:5, determine and state the length of BD.

a)

2.68

b)

7.2

c)

14.4

d)

3.1

22.

Find the value of x.

a)

0

b)

48

c)

4.9

d)

24

23.

Find the value of x.

a)

12

b)

16

c)

9

d)

6

24.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

25.

Which is a Pythagorean Triple?

a)

3,4,5

b)

3.4,4.5,6.7

c)

12,13,14

d)

5,10,12

26.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

27.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

28.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

29.

solve for c

a)

7

b)

9

c)

4

d)

13

30.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

31.

Which of the following sentences would belong in the proof that describes this image?

a)

The sum of the areas of the two smaller squares is equal to the area of the large square.

b)

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

c)

The difference of the areas of the two smaller squares is equal to the area of the large square.

d)

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

32.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

33.

Find the missing side length. Leave your answer in simplified radical form.

a)

$x=4$

b)

$x=8$

c)

$x=4\sqrt{2}$

d)

$x=8\sqrt{2}$

34.

Find the missing side length. Leave your answer in simplified radical form.

a)

$v=2\sqrt{2}$

b)

$v=2$

c)

$v=4$

d)

$\sqrt{2}$

35.

Find the missing side length. Leave your answer in simplified radical form.

a)

$a=7$

b)

$a=14$

c)

$a=7\sqrt{3}$

d)

$a=\frac{7}{2}$

36.

Find the missing side length. Leave your answer in simplified radical form.

a)

$v=4$

b)

$v=8$

c)

$v=4\sqrt{3}$

d)

$v=2$

37.

Find the missing side length. Leave your answer in simplified radical form.

a)

$x=5\sqrt{3}$

b)

$x=5$

c)

$x=15$

d)

$x=10$

38.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

39.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

40.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

41.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

42.

Choose the correct set up to find the length of the side x.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

43.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

44.

What is the correct set up for the problem to solve for side w?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

45.

What is the correct set up for the problem to find the measure of the indicated angle?

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

46.

Find the length of side x.

a)

10

b)

11.3

c)

12.0

d)

15.0

47.

Find the length of side x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

48.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

49.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

50.

Give the Ratio for SIN X

a)

opp/adj

b)

Adj/hyp

c)

Opp/hyp

d)

adj/opp

51.

Give the Ratio for TAN X

a)

Adj/Opp

b)

Opp/Adj

c)

Adj/Hyp

d)

Opp/Hyp

52.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

53.

Find the ratio for cosA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

27/45

d)

3/5

54.

Find the ratio for tanA. (Reduce the fraction)

a)

36/27

b)

4/3

c)

36/45

d)

4/5

55.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

56.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

57.

Solve for the missing angle.

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

58.

Angle in a semicircle is a

a)

Acute angle

b)

Right angle

c)

Obtuse angle

d)

None of the above

59.

a)

3cm

b)

2cm

c)

4cm

d)

1cm

60.

a)

A

b)

B

c)

C

d)

D

61.

Which of the following would be a major arc in the diagram?

a)

BC

b)

BCD

c)

CD

d)

AB

62.

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

63.

Solve for x.

a)

5

b)

20

c)

40

d)

85

64.

a)

A

b)

B

c)

C

d)

D

65.

a)

A

b)

B

c)

C

d)

D

66.

What is the measure of angle A?

a)

95°

b)

169°

c)

191°

d)

79°

67.

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

68.

What is the center of the circle with equation x² + y² = 1?

a)

(1, 1)

b)

(0, 0)

c)

not enough information

69.

Is the point (3 , 5) inside, outside or on the circle with equation x² + y² = 9?

a)

Inside the Circle

b)

Outside the Circle

c)

On the Circle

70.

In the equation (x+2)²+(y+3)²=49, the center of the circle is at....

a)

(2, 3)

b)

(3, 2)

c)

(-3, -2)

d)

(-2, -3)

71.

What is the equation of a circle with radius 4 and center (0, 8)?

a)

x² + (y-8)² = 16

b)

(x-8)² + y² = 4

c)

x² + (y-8)² = 4

d)

x² + (y+8)² = 16

72.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

73.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

74.

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

a)

36

b)

35

c)

30

d)

41

75.

If you are given a radius and asked to find the diameter what do you do?

a)

Divide the radius by 2

b)

Square the radius

c)

Multiply the radius by 2

d)

Take the square root of the radius

76.

What part of the circle is present?

a)

Tangent

b)

Secant

c)

Chord

d)

Diameter

77.

What part of the circle is present?

a)

diameter

b)

radius

c)

chord

d)

secant

78.

Can a secant be a tangent?

a)

yes they are both the same line

b)

yes they are both parts of a circle

c)

No secant intersects twice and tangent intersects once

d)

No they both have nothing to do with circles

79.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

80.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

81.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

82.

Segments with endpoints on a circle are called _____.

a)

arcs

b)

radii

c)

chords

d)

polygons

83.

Name a secant.

a)

BD

b)

DG

c)

HF

d)

AF

84.

a)

Name the circle: Circle B

b)

Name the circle: Circle DE

c)

Name the circle: Circle A

d)

Name the circle: Circle DBC

85.

What is the measure of angle HKI?

a)

72

b)

73

c)

74

d)

75

86.

Find the m∠MNQ.

a)

89⁰

b)

45⁰

c)

158⁰

d)

22⁰

87.

Find the m∠1.

a)

130⁰

b)

65⁰

c)

44⁰

d)

86⁰

88.

Find the measure of minor arc AV.

a)

55°

b)

115°

c)

85°

d)

95°

4th 9-weeks Save Geometry

Total questions: 88

Worksheet time: 4hrs 13mins

Similar Resources on Wayground