Free Printable Geom Midterm Review (New)

1.

A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

2.

Does the set of numbers represent a Pythagorean Triple?
14, 20, 24

a)

Yes

b)

No

3.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

4.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

5.

Find the y-coordinate of the midpoint of the line

a)

1

b)

2

c)

-2

d)

3

6.

What is the distance of JK, where J(4,3) and K(2, -3)?

a)

√ ̅3̅2̅

b)

40

c)

32

d)

√ ̅4̅0̅

7.

Find the missing side length. Leave answer in simplest radical form.

a)

A

b)

B

c)

C

d)

D

8.

Find the missing side length. Leave answer in simplest radical form.

a)

A

b)

B

c)

C

d)

D

9.

__________ are lines that lie in the same plane.

a)

coplanar lines

b)

collinear points

c)

line segment

d)

intersection

10.

Points on the same line are ___________ points.

a)

coplanar

b)

coordinate

c)

conjecture

d)

collinear

11.

Which of the following words describes the picture?

a)

ray

b)

segment

c)

line

d)

plane

12.

A segment, ray, line or plane that intersects a segment at its midpoint.

a)

point

b)

segment

c)

segment bisector

d)

perpendicular lines

13.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

14.

Complementary angles are angles that together equal

a)

180 degrees

b)

90 degrees

c)

45 degrees

d)

100 degrees

15.

What term is used to describe a pair, or group, of angles that equal 180 degrees?

a)

Supplementary Angles

b)

Complementary Angles

c)

Vertical Angles

d)

Congruent Angles

16.

Adjacent angles share a side and a ____

a)

vertex

b)

diet soda

c)

geometry

d)

business partner

17.

a)

60°

b)

120°

c)

90°

d)

180°

18.

If angle ∠ABD is 67°. What is ∠DBC?

a)

180°

b)

90°

c)

67°

d)

23°

19.

If ∠COB is 124°, then what is ∠BOD? How are they related?

a)

56°, they are supplementary

b)

90°, they are complementary

c)

124°, they are vertical

20.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

21.

Write the equation of a line PARALLEL to that passes through the point (3, 1). $y=-\frac{5}{2}x+10$

a)

$y=-\frac{5}{2}x\ +\ 6$

b)

$y\ =-\frac{5}{2}x+\frac{17}{2}$

c)

$y=\frac{2}{5}x+6$

d)

$y=\frac{2}{5}x+\ 8$

22.

Which pair of angles must be supplementary so that r is parallel to s?

a)

∠2 and ∠3

b)

∠5 and ∠6

c)

∠4 and ∠10

d)

∠6 and ∠14

23.

What value of x proves that line p is parallel to line r?

a)

14

b)

12.5

c)

15

d)

25

24.

Level 1

What is the slope of a line parallel to the line: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

25.

Level 1

What is the slope of a line that is perpendicular to y = 2x - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

26.

Level 2

-6x + y = 2

6x + y = 2

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

27.

Level 2

Choose ALL the lines PARALLEL to the following line: y = 2/9x - 7

a)

y = 2/9x + 8

b)

y = 9/2x -12

c)

-2y = 9x + 8

d)

9y = 2x -18

28.

Level 2

Select ALL of the lines that are PERPENDICULAR to y = 3/4x + 9

a)

y = 3/4x - 3

b)

y = -3/4x + 9

c)

y = -4/3x + 8

d)

3y = -4x + 5

e)

4y = -3x + 7

29.

Level 3:

Line a passes through (2, 4) and (4, 7)

Line b passes through (-5, 3) and (-3, 6)

Lines a and b are ?

a)

Parallel

b)

Perpendicular

c)

Neither

30.

Level 3

Write the equation of a line that passes through the point (2, 6) and is perpendicular to the line y = -4x + 8.

a)

y = 1/4x + 5.5

b)

y = 4x + 6

c)

y = -1/4x + 8

d)

y = -4x + 8

31.

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

a)

Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars

b)

Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend

c)

Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life

d)

Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends

32.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.

a)

If the angles are congruent.

b)

The angles are congruent.

c)

Then the measures of the angles are equal.

d)

The measures of the angles are equal.

33.

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

a)

If I have a Siberian Husky.

b)

I have a Siberian Husky.

c)

Then I have a dog.

d)

HI have a dog.

34.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

a)

If the measures of the angles are equal, then the angles are congruent.

b)

"If angles are not congruent, then the measures of the angles are not equal."

c)

If the measures of the angles are not equal, then the angles are not congruent.

d)

If the angles are not congruent, then the measure of the angles are equal.

35.

If something is a vehicle, then it is a Ford. What is an appropriate counterexample?

a)

Ford Mustang

b)

Dodge Charger

c)

Ford F150

d)

Both A and C are counterexamples.

36.

When taking the converse we ___________ the hypothesis and conculsion

a)

negate

b)

switch

c)

highlight

d)

switch and negate

37.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

38.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

39.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

40.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

41.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

42.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

43.

Classify the triangle by angles and sides.

a)

Right Scalene

b)

Acute Isosceles

c)

Obtuse Isosceles

d)

Equiangular Equilateral

44.

Classify the triangle by angles and sides.

a)

Equiangular Equilateral

b)

All of the above

c)

Acute Equilateral

d)

Acute Isosceles

45.

Classify the triangle by angles and sides.

a)

Right Scalene

b)

Right Isosceles

c)

Acute Isosceles

d)

Right Obtuse

46.

Classify the triangle by angles and sides.

a)

Obtuse Scalene

b)

Obtuse Isosceles

c)

Right Scalene

d)

Acute Isosceles

47.

Determine the length of $\overline{JK}$

a)

13 units

b)

32 units

c)

14 units

d)

34 units

48.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

49.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

9

b)

12

c)

8

d)

5

50.

Where would the largest angle of a triangle be located?

a)

Across from the longest side.

b)

Across from the shortest side

c)

I need more information to get an answer.

51.

Where would the shortest side of a triangle be located?

a)

Across from the smallest angle in the triangle.

b)

Across from the largest angle in the triangle?

c)

Cannot tell.

52.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

53.

Solve for x.

a)

7

b)

9

c)

-11

d)

-6

54.

Find the measure of the indicated angle.

a)

80

b)

58

c)

42

d)

138

55.

Find the measure of the angle marked with ?

a)

95 degrees

b)

113 degrees

c)

76 degrees

d)

85 degrees

56.

Convert x²-9x+20 to factored form and solve.

a)

(x-10)(x+2); x=-2, 10

b)

(x+4)(x+5); x=-5, -4

c)

(x-4)(x-5); x=4, 5

d)

Not factorable

57.

Solve by factoring

a)

A

b)

B

c)

C

d)

D

58.

Find the expression equivalent to (x-1)(x-9)

a)

x²+9

b)

x²-10x+9

c)

x²-10x-9

d)

x²+10x+9

59.

Solve
(4a + 3)(4a - 3) = 0

a)

a = ^-3/₄, ³/₄

b)

a = ^-4/₃, ⁴/₃

c)

a = ^-9/₁₆, ⁹/₁₆

d)

a = ^-16/₉, ¹⁶/₉

60.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

61.

a)

A

b)

B

c)

C

62.

What similarity theorem would prove that these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

Side Splitter

63.

Are the triangles similar?

a)

Yes

b)

No

64.

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

a)

x = 19 cm

b)

x = 24 cm

c)

x = 3 cm

d)

x = 16.5 cm

65.

What similarity theorem would you use to prove these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

BUCK∼

66.

Solve for f.

a)

6

b)

4

c)

3

d)

8

67.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

68.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

69.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

70.

a)

15

b)

13

c)

11

d)

17

71.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

72.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

73.

Which of these can factor using difference of two squares?

a)

144x² - 49y²

b)

x² + 4x - 12

c)

100x² + 20x + 1

d)

14x - 16

74.

Factor 4x²-9

a)

(4x-9)(4x+9)

b)

(2x-3)(2x+3)

c)

2x-3

d)

(2x-4.5)(2x+4.5)

75.

Factor x²-25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

76.

Fully Factor the Following
25x²-81

a)

(5x-9)²

b)

(5x+9)(5x-9)

c)

25(x-9)²

d)

(9x+5)(9x-5)

77.

36m² - 9
(Check for a GCF)

a)

(6m + 3)(6m - 3)

b)

9(4m² - 1)

c)

9(2m - 1)(2m + 1)

d)

Not Factorable

78.

Rationalize the denominator:
$\frac{\sqrt{5}}{2\sqrt{3}}$

a)

$\frac{\sqrt{15}}{6}$

b)

$\frac{\sqrt{15}}{18}$

c)

$\frac{5\sqrt{3}}{6}$

d)

$\frac{5\sqrt{3}}{18}$

79.

a)

b)

c)

d)

80.

a)

b)

c)

d)

81.

a)

A

b)

B

c)

C

d)

D

82.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

83.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

84.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

85.

a)

A

b)

B

c)

C

d)

D

86.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

87.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

88.

Find the measurement of the missing side indicated

a)

4.39

b)

3.21

c)

2.19

d)

2.05

89.

Find the measurement of the missing side indicated

a)

4.98

b)

5.98

c)

3.20

d)

4.18

90.

Solve for x.

a)

10

b)

11.3

c)

12.0

d)

15.0

91.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

92.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

93.

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

a)

33°

b)

49°

c)

39°

d)

41°

94.

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

a)

30.8

b)

32.1

c)

34.3

d)

36.9

95.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

96.

Choose the correct ratio.

a)

sin^-1(9/20)

b)

cos^-1(9/20)

c)

tan^-1(9/20)

d)

cos^-1(20/9)

97.

Choose the correct ratio.

a)

sin^-1(12/29)

b)

cos^-1(12/29)

c)

tan^-1(12/29)

d)

tan^-1(29/12)

98.

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?

a)

66 degrees

b)

80 degrees

c)

30 degrees

d)

19 degrees

99.

A power line stretches from the top of a building to the ground. The power line is 100 ft. long and the building is 50 ft. tall. What is the horizontal distance from the end of the power line to the building?

a)

220.3 ft.

b)

100 ft.

c)

86.6 ft.

d)

73.8 ft.

100.

You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat?

a)

11.1 ft.

b)

9 ft.

c)

7.4 ft.

d)

13.8 ft.

Geom Midterm Review (New)

Total questions: 100

Worksheet time: 7hrs 56mins

Similar Resources on Wayground