Free Printable Geometry Midsemester Review

1.

Add to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

2.

What is the type of polynomial 3x⁴ + 2x² + 5x ?

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

3.

Add the polynomials (x-2) and (x²+3)

a)

x²+x+1

b)

x³+5

c)

x³+1

d)

x³-1

4.

What is the degree of the polynomial 3x⁴ + 2x² + 5x ?

a)

1

b)

2

c)

3

d)

4

5.

What is the perimeter of the rectangle?

a)

x²+8x-5

b)

2x²+16x-10

c)

2x²+10x-8

d)

6x-2

6.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

7.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

8.

Find the product:
5xy(6x - y)

a)

11x² - y²

b)

30x² + y²

c)

30x²y - 5xy²

d)

11x²y + 5x²y²

9.

Use the FOIL method to multiply:
(x+10)(x-10)

a)

x² - 100

b)

x² + 100

c)

x² + 20x - 100

d)

x² -20x + 100

10.

Classify by number of terms:

3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

11.

What is the CONSTANT of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

12.

Classify by degree of polynomial:
3x³ – 6x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

13.

Classify by degree of polynomial:
2x – 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

14.

Which algebraic expressions are polynomials?

a)

$\pi x-\sqrt{3}+5y$

b)

$x^2y^2-4x^3+12y$

c)

$\frac{4}{x}-x^2$

d)

$\sqrt{x}-16$

e)

$3.9x^3-4.1x^2+7.3$

15.

The polynomial 3x² is a _____ with a degree of __.

(a)

16.

Give the correct name for

3x

a)

Cubic Monomial

b)

Linear Binomial

c)

Linear Monomial

d)

Cubic Binomial

17.

Classify by the DEGREE:
3x - 2

a)

1

b)

2

c)

3

d)

4

18.

What is the degree of the monomial?

a)

2

b)

4

c)

6

d)

7

19.

Name the expression.

a)

monomial

b)

binomial

c)

trinomial

20.

What is the Area?

a)

2x² - 3x - 18 inches²

b)

2x² + 3x + 18 inches²

c)

2x² + 9x - 18 inches²

d)

2x² - 9x - 18 inches²

21.

coplanar lines that go in the same direction, never touch, and have the same slope

a)

perpendicular lines

b)

parallel lines

c)

skew lines

d)

transversal lines

22.

Adjacent angles that form a straight line

a)

vertical angles

b)

corresponding angles

c)

linear pair

d)

complementary angles

23.

What is the COMPLEMENTARY angle of an angle that measures 30 degrees?

a)

90 degrees

b)

20 degrees

c)

150 degrees

d)

60 degrees

24.

The SUPPLEMENTARY angle measure of an angle that is measured at 60 degrees would be...

a)

180 degrees

b)

120 degrees

c)

90 degrees

d)

30 degrees

25.

A RIGHT angle measures...

a)

More than 90 degrees

b)

More than 180 degrees

c)

Exactly 90 degrees

d)

Less than 90 degrees

26.

What does the image show?

a)

a ray

b)

a line

c)

a line segment

d)

a point

27.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

28.

What does the image show?

a)

parallel lines

b)

intersecting lines

c)

perpendicular lines

d)

a point

29.

Find m∠ABC

a)

45^o

b)

60^o

c)

105^o

d)

15^o

30.

∠1 and ∠3 can best be described as what?

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

31.

How would you name the angle that is 60 degrees?

a)

$\angle CBE$

b)

$\angle ABE$

c)

$\angle CBA$

d)

$\angle ACB$

32.

Which of the following represent the distance formula? Check all that apply.

a)

$d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}$

b)

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

c)

$d=\sqrt{\left(x_2+x_1\right)^2+\left(y_2+y_1\right)^2}$

d)

$d=\sqrt{\left|x_2-x_1\right|^2+\left|y_2-y_1\right|^2}$

33.

Find HG.

a)

8

b)

9

c)

10

d)

11

34.

a)

MQ=4, PQ=8

b)

MQ=4, PQ=4

c)

MQ=8, PQ=4

d)

MQ=8, PQ=8

35.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

36.

Which of the following constructions is illustrated?

a)

An angle is congruent to a given angle

b)

The bisector of a given angle

c)

The bisector of a given segment

d)

The perpendicular bisector of a given segment.

37.

The picture represents a compass and straightedge construction of _________?

a)

Copy an angle

b)

Bisect an angle

c)

Copy a line segment

d)

Bisect a line segment

38.

Which of the following would NOT be true of a rhombus?

a)

2 sets of parallel lines

b)

4 acute angles

c)

Congruent opposite angles

d)

4 equal sides

39.

Which of the following quadrilaterals is best represented in the following description?

A plane figure with two sets of parallel sides, with one pair longer than the other, and at least one right angle.

a)

square

b)

rhombus

c)

rectangle

d)

parallelogram

40.

If you think this shape is a parallelogram, which of the following could prove it?

a)

Opposite Sides are congruent

b)

Opposite sides are parallel

c)

Diagonals are congruent

d)

Diagonals bisect each other

e)

Diagonals are perpendicular

41.

If you think this shape is specifically a rhombus, which of the following could prove it?

a)

All sides are congruent

b)

Opposite sides are parallel

c)

Diagonals are congruent

d)

Diagonals bisect each other

e)

Diagonals are perpendicular

42.

Which could help you to prove that a shape is a square? (Any property!)

a)

All sides are congruent

b)

Opposite sides are parallel

c)

Diagonals are congruent

d)

Diagonals bisect each other

e)

Diagonals are perpendicular

43.

What is the measure of ∠2?

a)

38

b)

58

c)

71

d)

142

44.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

45.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

46.

Find the value of x.

a)

x = 133

b)

x = 47

47.

Angles x and y are.....

a)

alternate interior

b)

alternative exterior

c)

corresponding

d)

same-side interior

48.

Find the midpoint of the line segment with the given endpoints.

(8, 6), (1, 0)

a)

(3.5, 3)

b)

(7, 0.5)

c)

(-6, -6)

d)

(4.5, 3)

49.

Find the distance between the points: (-3, -4) and (5, 5)

a)

11.8

b)

14.4

c)

12

d)

19

50.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

51.

If M is the midpoint of AB, then AM = MB. Which of the following "reasons" fits for the statement?

a)

Addition POE

b)

Def. of Midpoint

c)

Reflexive POE

d)

Symmetric

52.

If <1 and <2 are complementary, then m<1 + m<2 = 90

a)

Addition POE

b)

Subtraction POE

c)

Def of right angle

d)

Def of Complementary Angles

53.

Which symbol means "perpendicular"?

a)

∏

b)

∥

c)

∠

d)

⊥

54.

Fill in the blank. This angle measures (a) degrees.

55.

a)

180 degrees

b)

125 degrees

c)

55 degrees

d)

65 degrees

56.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

57.

Angles 4 and 6 are...

a)

supplementary

b)

congruent

58.

An angle that is exactly 90 degrees.

a)

right

b)

acute

c)

obtuse

d)

straight

59.

Check all TRUE statements.

a)

The name of this angle is $\angle ZYX$

b)

The name of this angle is $\angle Y$

c)

The name of this angle is $\angle YXZ$

d)

The name of this angle is $\angle53\degree$

e)

The name of this angle is $\angle XYZ$

60.

Which statement is TRUE?

a)

These are congruent angles.

b)

These are supplementary angles.

c)

These are complementary angles.

d)

These are adjacent angles.

e)

These are vertical angles.

61.

Check all TRUE statements.

a)

$\angle ABD+\angle DCB=\angle CBA$

b)

$m\angle CBD+m\angle ABD=m\angle ABC$

c)

$\angle BCA$ has been bisected.

d)

$\overline{BD}$ is the angle bisector.

e)

$\angle ABD\cong\angle ABC$

62.

What is the best term to describe this image?

a)

intersecting lines

b)

perpendicular lines

c)

parallel lines

d)

arrows

63.

What type of angles are these?

a)

same side interior

b)

same side exterior

c)

straight

d)

none of these

64.

Find the

m\angle2

a)

$129\degree$

b)

$180\degree$

c)

$51\degree$

65.

What is the value of x?

a)

37

b)

72

c)

108

d)

18

66.

The diagonals of a rectangle (select 2 answers)

a)

bisect each other

b)

bisect opposite angles

c)

are congruent

d)

are perpendicular

67.

Solve for x

a)

2

b)

3

c)

4

d)

10

68.

Consecutive angles in a parallelogram must be

a)

congruent

b)

complementary

c)

supplementary

d)

opposite

69.

In order for ABCD to be a parallelogram, what must the value of x be?

a)

132

b)

66

c)

114

d)

48

70.

State which method we can use to show that the quadrilateral is a parallelogram.

a)

Both pairs of opposite angles are congruent.

b)

Both pairs of opposite sides are congruent.

c)

Both pairs of diagonals bisect each other.

d)

Both pairs of opposite sides are parallel.

71.

State which method we can use to show that the quadrilateral is a parallelogram.

a)

Both pairs of opposite angles are congruent.

b)

Both pairs of opposite sides are congruent.

c)

Both pairs of diagonals bisect each other.

d)

Both pairs of opposite sides are parallel.

72.

If a shape is a square, then it is also a rectangle and a rhombus.

a)

TRUE

b)

FALSE

73.

A trapezoid is a quadrilateral with exactly one set of parallel sides.

a)

TRUE

b)

FALSE

74.

My shape is a quadrilateral. It has two sets of parallel lines. It does not have any right angles, but it does have equal sides. Which one is my shape?

a)

b)

c)

d)

75.

Check all that apply.

a)

Rectangle

b)

Rhombus

c)

Square

d)

Parallelogram

76.

Check all that apply.

a)

Rhombus

b)

Trapezoid

c)

Kite

d)

Parallelogram

77.

In the following Rhombus, the length of $\overline{AD}$ is 24cm. What is the length of $\overline{AB}$ ?

a)

24cm

b)

16cm

c)

18cm

d)

Not Possible

78.

Angle $\angle EHG$ is $44\degree$ . Using what you know about the properties of a Kite, what is the measure of $\angle DGH$ ?

4 lines

79.

A ________ is any polygon that has 4 sides.

a)

square

b)

parallelogram

c)

quadrilateral

d)

trapezoid

80.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

81.

What is the coordinate for letter M?

a)

(0,-6)

b)

(0,0)

c)

(6,6)

d)

(-6,0)

82.

Where is point A located?

a)

( 7 , 2 )

b)

( 2 , 6 )

c)

( - 2 , 7 )

d)

( 2 , 7 )

83.

What are the coordinates of point B?

(a)

84.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90^o counter clockwise rotation

85.

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

86.

Determine the quadrilateral's most specific classification using the distance formula:

A(-5, 8), B(-2, 14), C(12, 7), D(9, 1)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

87.

You can use the slope formula to calculate the lengths of opposite sides of a parallelogram.

a)

True

b)

False

88.

You can prove both pairs of opposite sides are parallel by using the slope formula.

a)

True

b)

False

89.

Which of the following has the slope formula written correctly?

a)

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

b)

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

c)

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

d)

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

90.

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

What is the length of side AB?

(a)

91.

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

Based on your discoveries about the lengths of the sides, can this shape be a square?

a)

Yes

b)

No

92.

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

What is the slope of side AB?

(a)

93.

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

Based on your discoveries about the slopes of the sides, can this shape be a rectangle?

a)

Yes

b)

No

94.

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

Based on your discoveries about the slopes of the sides, can this shape be a parallelogram?

a)

Yes

b)

No

95.

What is a line segment?

a)

A line segment has infinite length.

b)

A line segment is a curved line.

c)

A line segment has only one endpoint.

d)

A line segment is a part of a line that is bounded by two distinct endpoints.

96.

What is a line?

a)

A line is a curved path that extends infinitely in both directions.

b)

A line is a straight path that extends infinitely in both directions.

c)

A line is a two-dimensional shape with length but no width or height.

d)

A line is a closed shape with three or more sides.

97.

What is a ray?

a)

A ray is a line that starts at a point and extends infinitely in one direction.

b)

A ray is a line segment with a fixed length.

c)

A ray is a line that starts at a point and extends infinitely in both directions.

d)

A ray is a curved line that changes direction at every point.

98.

What is a point?

a)

A point is a small dot on a surface.

b)

A point is a precise location in space that has no size or dimension.

c)

A point is a unit of measurement in geometry.

d)

A point is a line segment with two endpoints.

99.

What is a midpoint?

a)

The point that divides a line segment into four equal parts.

b)

The point that divides a line segment into three equal parts.

c)

The point that divides a line segment into two equal parts.

d)

The point that divides a line segment into two unequal parts.

100.

What is a plane?

a)

A plane is a type of tool used for smoothing wood surfaces.

b)

A plane is a mathematical term used to describe a flat surface.

c)

A plane is a type of vehicle used for air travel.

d)

A plane is a flat, two-dimensional surface.

101.

What are collinear points?

a)

Points that form a triangle.

b)

Points that do not lie on the same straight line.

c)

Points that are equidistant from each other.

d)

Points that lie on the same straight line.

102.

What are coplanar points?

a)

Points that lie on the same plane.

b)

Points that are collinear.

c)

Points that are not on a plane.

d)

Points that lie on different planes.

103.

Two items are congruent if they...

a)

have the same size and shape.

b)

have a different size and shape.

c)

have the same size but a different shape.

d)

have a different size but are the same shape.

104.

a)

line

b)

line segment

c)

ray

d)

angle

105.

a)

line

b)

line segment

c)

ray

d)

angle

106.

What geometric term does this image represent?

a)

dot

b)

point

c)

circle

d)

angle

107.

Which of the following statements are true? Check all that apply.

a)

The length of $\overline{AB}$ is -3.

b)

$d\left(B,C\right)=BC=\left|6-1\right|$

c)

$AB+AC=BC$

d)

$AB+BC=AC$

108.

Points A, B and C are collinear and B lies between A and C. If AC = 48, AB = $2x+2$ , and BC= $3x+6$ , what is BC?

(a)

109.

An example of coplaner points

a)

D, E, B

b)

C, B, A

c)

M, E, C

d)

A, F, E

110.

$\overrightarrow{BD}$ bisects $\angle ABC$ , $m\angle ABD=5\left(x-6\right)$ and $m\angle DBC=2x+9$ . Find $m\angle DBC$ .

a)

$35\degree$

b)

$27\degree$

c)

$11\degree$

d)

$15\degree$

111.

M is the midpoint of segment JL. J has coordinates (2, -1) and M has coordinates (-4, 3). What are the coordinates of L?

a)

(3, -2)

b)

(1, -1)

c)

(-1, 1)

d)

(-10, 7)

112.

What is this Symbol called?

a)

Congruent

b)

Equal

c)

Parallel Lines

d)

Angle

113.

Given that C is between A and B, which Segment Addition statement is correct?

a)

AC + AB = CB

b)

AC + CB = AB

c)

AB + BC = AC

d)

CA + CB = CA

114.

Name the intersection of planes P & R. Give the best answer.

a)

Point D

b)

Point A

c)

Line AB

d)

Line FG

115.

What do you call rays with the same endpoint that form a line?

a)

Opposite Rays

b)

Rays

c)

Segments

d)

Planes

116.

Find the midpoint of (5,2) and (-4,-3).

a)

(1/2, -1/2)

b)

(2,4)

c)

(-2,3)

d)

(4,5)

117.

a)

8

b)

12

c)

-4

d)

-8

118.

(1a) Select the answer that completes the box with the correct terms. The terms are listed in 1, 2, 3, 4 order as shown in the box.

a)

$-2x^2,\ -2x\ ,\ -2x,\ -2$

b)

$-4x,\ -3x,\ -3x,\ -2$

c)

$2x^2,2x,2x,2$

d)

$4x^2,2x,\ -2x,\ 2$

119.

Which of the following is the correct box method set-up to solve $\left(x+2\right)\left(x+3\right)=$ ?

a)

b)

c)

d)

120.

What does it mean for two terms to be considered "like terms"

a)

They have the same number

b)

They have the same variable

c)

They have the same variable/exponent combination

d)

They have the same sign

121.

Which of the following could be the correct set up for the Box Method when multiply (x + 3) (2x - 4) _{(click on the question to see the image in the background...yes we usually use the right side)}

a)

A

b)

B

c)

C

d)

D

122.

Select the best answer choice.

a)

A

b)

B

c)

C

d)

D

123.

Nate is constructing angle bisector to angle ABC. Where did he position his compass to create the two arcs that intersect at the interior of the angle?

a)

He fixed his compass on B and drew both arcs.

b)

He fixed his compass on points A and C.

c)

He fixed his compass on points D and E.

d)

He fixed his compass on points B and E.

124.

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

a)

Eric should have started by putting the compass needle point at the midpoint of the segment AB.

b)

On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

c)

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

d)

Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

125.

Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?

a)

Place the compass point at B

b)

Place the compass point at C

c)

Place the straightedge along A and C

d)

Place the straightedge along C and D

126.

What is this?

a)

Compass

b)

Circle creator

c)

Pencil swingy-thing

d)

Arc maker

127.

What do you call the common endpoint of two rays?

a)

Angle

b)

Segment

c)

Ray

d)

Vertex

128.

By using a compass, D and G were marked equidistant from Vertex E. The compass was then used to locate point F, distant from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of DEF and GEF

a)

are equal

b)

are NOT equal

c)

sum to 45°

d)

sum to 30°

129.

Identify the transformation from A to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

130.

Triangle A is rotated 270° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

131.

Choose the correct transformations

a)

rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

b)

right 1, down 4, and then reflection over the y-axis

c)

right 6, and then reflection over the x-axis

d)

reflection over the line y=x, and then translate up 4, right 2

132.

What sequence of transformations will get you from shape 1 to shape 2 to shape 3 in three steps?

a)

Rotation, then Dilation, then Reflection

b)

Translation, then Reflection, then Rotation

c)

Reflection, then
Dilation, then Rotation

d)

Dilation, then Translation, then Reflection

133.

A flip is also called a __________

a)

Translation

b)

Rotation

c)

Reflection

d)

Transformation

134.

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

Geometry Midsemester Review

Total questions: 134

Worksheet time: 4hrs 8mins

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