Free Printable First Quarter Geometry Review

1.

Classify the polynomial below by degree and terms

$x^2-4x-1$

a)

quadratic, trinomial

b)

linear, trinomial

c)

quartic, binomial

d)

cubic, trinomial

2.

Put the polynomial in standard form

$6x\ -\ 4x^2+2\ -\ 5x^3$

a)

$-5x^3-4x^2+6x+2$

b)

$-4x^2+6x-5x^3+2$

c)

$-5x^3-6x+4x^2+2$

d)

it is in standard form

3.

What is the constant in

$7y^4-5x^3+9y^2-8x+4$

a)

7

b)

-5

c)

-8

d)

4

4.

Find the sum (2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x²+ 5x -7

d)

-2x² + 11x -4

5.

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n² + 2

c)

12n² + 12n + 2

d)

12n² + 14n + 2

6.

When multiplying two polynomials, I need to _________________.

a)

remove the parentheses and complete an area model.

b)

complete an area model and combine like terms

c)

distribute the negative sign to all terms inside the parentheses that follow and combine like terms.

d)

remove the parentheses and combine like terms.

7.

When subtracting two polynomials, I need to _________________.

a)

remove the parentheses and complete an area model.

b)

complete an area model and combine like terms

c)

distribute the negative sign to all terms inside the parentheses that follow and combine like terms.

d)

remove the parentheses and combine like terms.

8.

To simplify (3x-5) (4x²-2x-3), I need an area model with the dimensions _________________.

a)

1 x 2

b)

2 x 2

c)

2 x 3

d)

3 x 3

9.

Multiply:

(5x + 2) (x²– 3x + 6)

a)

5x³– 17x²+ 24x + 12

b)

5x³+ 17x² – 24x + 12

c)

5x³ – 13x² + 24x + 12

d)

5x³ + 13x² – 24x – 12

10.

(3x + 4y – 3z) – (2x – 6y + 7z)

a)

x + 10y – 10z

b)

-x +10y – 10z

c)

x – 10y – 10z

d)

-x – 10y – 10z

11.

What is the perimeter of the rectangle?

a)

$25x^{2\ }-\ 20x$

b)

$10x-4$

c)

$20x\ -\ 8$

d)

44

12.

Find a simplified expression for the area of the shaded region.

a)

2x²+ 2x + 13

b)

10x + 5

c)

10x + 13

d)

2x²+ 13

13.

^{The perimeter of the
triangle is 10x+20. Find the length of the missing side}

a)

6x+10

b)

15x+30

c)

5x+10

d)

5x-10

14.

Find the area of the triangle

a)

2x² + 18

b)

2x² - 18

c)

2x² + 6x - 18

d)

2x² - 6x - 18

15.

Part of a line. Has one endpoint and continues on forever in one direction.

a)

Line Segment

b)

Line

c)

Ray

d)

Point

16.

What is the difference between a LINE SEGMENT and a LINE?

a)

Line Segments are two-dimensional, Lines are one-dimensional

b)

Lines can be represented on single planes; Line Segments can only be represented on multiple planes.

c)

Line Segments have finite lengths; Lines go on forever.

d)

Line segments are geometric figures; Lines are not.

17.

A plane is named by...

a)

Any 1 point on the plane.

b)

Any 3 collinear points on the plane or a lowercase script letter.

c)

Any 3 non-collinear points on the plane or an uppercase script letter.

d)

All points on the plane that aren't part of a line.

18.

Two lines intersect at a ....

a)

angle

b)

point

c)

line

d)

intersection

19.

Two planes intersect at a...

a)

line

b)

point

c)

plane

d)

letter

20.

Part of a line. Has two endpoints and includes all of the points in between.

a)

Point

b)

Angle

c)

Line

d)

Line Segment

21.

Name the Image

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

22.

Name the Image.

a)

Ray

b)

Point

c)

Line

d)

Line segment

23.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

24.

Points that lie on the same plane are ________.

a)

collinear

b)

coplanar

c)

parallel

d)

perpendicular

25.

Identify the image

a)

Line segment

b)

Line

c)

Point

d)

Ray

26.

Name the image

a)

Line

b)

Ray

c)

Line segment

d)

Angle

27.

A plane is named by...

a)

Any 1 point on the plane.

b)

Any 3 collinear points on the plane or a lowercase script letter.

c)

Any 3 non-collinear points on the plane or an uppercase script letter.

d)

All points on the plane that aren't part of a line.

28.

Solve

a)

50°

b)

58°

c)

115°

d)

226°

29.

a)

x=3/17

b)

x=9

c)

x=3

d)

x= -3

30.

<GHJ measures 52°

a)

m∠GHK=26, m∠KHJ=26

b)

m∠GHK=26, m∠KHJ=52

c)

m∠GHK=52, m∠KHJ=52

d)

m∠GHK=52, m∠KHJ=26

31.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

32.

Q is the midpoint of PR.

PQ = 6x – 7 and QR = 4x + 1.

Find the length of PR.

a)

4

b)

17

c)

33

d)

34

33.

Points that lie in the same plane are called _

a)

Colinear

b)

Intersection

c)

Parallel Planes

d)

Coplanear

34.

A location in space that is represented by a dot and has no dimensions

a)

Point

b)

Line

c)

Plane

d)

Angle

35.

What is it called when points lie on the same line.

a)

Midpoint

b)

Coplanear

c)

Segment Bisector

d)

Collinear

36.

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.

37.

What is an "Acute" Angle

a)

Angle that measures 180

b)

An Angle that measure 90

c)

An angle that measures more than 90

d)

An angle that measures less than 90

38.

Two angles that add to be 90 degrees

a)

Supplementary

b)

Complementary

c)

Angles

d)

Right Angle

39.

Two angles that add to be 180 degrees

a)

Supplementary

b)

Complementary

c)

Angles

d)

Straight Line

40.

a)

8

b)

12

c)

-4

d)

-8

41.

What ray is the bisector of $\angle AOC$ ?

a)

$\overrightarrow{OB}$

b)

$\overrightarrow{OC}$

c)

$\overrightarrow{BO}$

d)

$\overline{OB}$

42.

The definition of a linear pair includes

(select all that apply)

a)

Two angles share a vertex

b)

Two angles make a straight angle

c)

The sum of the measures of a linear pair are 180*

d)

Two angles that are complementary angles

43.

What kind of angles are $\angle1\ and\ \angle2$ ?

a)

Exterior angles

b)

Vertical angles

c)

A Linear Pair

d)

Corresponding angles

e)

Alternate Interior angles

44.

What kind of angles are $\angle1\ and\ \angle2$ ?

a)

Exterior angles

b)

Vertical angles

c)

A Linear Pair

d)

Corresponding angles

e)

Alternate Interior angles

45.

Line l bisects the segment. Find the lengths of AN and AB.

a)

AN = 9.2, AB = 9.2

b)

AN = 9.2, AB = 18.4

c)

AN = 18.4, AB = 9.2

d)

AN = 18.4, AB = 18.4

46.

Line l bisects the segment. Find the value of x.

a)

x = 15

b)

x = 6

c)

x = 9

d)

x = 3

47.

Given: ∠1 and ∠3 are vertical angles. What should you conclude by the vertical angles theorem?

a)

$\angle1$ and $\angle3$ are a linear pair

b)

undefined andundefined are right angles.

c)

$\angle2\cong\angle3$

d)

$\angle1\cong\angle3$

48.

Given: ∠1 and ∠2 are supplementary. What can you conclude?

a)

$m\angle1+m\angle2=180\degree$

b)

m\angle1+m\angle2=90\degree

c)

$m\angle1=m\angle2$

d)

Nothing

49.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

50.

If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.

a)

Definition of Supplementary Angles

b)

Angle Addition Postulate

c)

Definition of Right Angle

d)

Definition of Complementary Angles

51.

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

a)

Definition of Congruent Angles

b)

Definition of Angle Bisector

c)

Angle Addition Postulate

d)

Definition of Right Angle

52.

TRUE OR FALSE:

Through any two points, there is exactly one line.

a)

True

b)

False

53.

What kind of angle is this?

a)

Acute

b)

Obtuse

c)

Right

d)

Straight

54.

What kind of angle is this?

a)

Acute

b)

Obtuse

c)

Right

d)

Straight

55.

What kind (or kinds) of angles are these:

a)

Adjacent

b)

Complementary

c)

Supplementary

d)

Vertical

56.

$xy^2+x^2y^3-x^3y$ The degree of the polynomial is:

a)

5

b)

2

c)

3

d)

4

57.

The name of the angle is ....

a)

$\angle OBA$

b)

$\angle ABO$

c)

$\angle BAO$

d)

$\angle AOB$

58.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

59.

Find the missing angle.

a)

28

b)

32

c)

60

d)

38

60.

What is the value of "a"?

a)

45

b)

55

c)

35

d)

65

61.

Name the vertex of the angle.

a)

E

b)

F

c)

D

d)

E, F, and D are vertices

62.

What is the correct definition of an angle?

a)

one single ray

b)

two rays that meet at a single endpoint (vertex)

c)

two lines that never intersect

d)

two rays that go in opposite directions

63.

Determine the measure of the angle. Think: is it acute or obtuse?

a)

135^o

b)

130^o

c)

50^o

d)

45^o

64.

This angle is written as......

a)

∠ABC

b)

∠ACB

c)

∠BCA

d)

∠CAB

65.

Aside from being adjacent angles, what is the relationship of the angles LMN and NMP?

a)

They are complementary angles

b)

The angles are supplementary

c)

They form a straight angle

d)

They are both obtuse angles

66.

The angles shown are vertical angles. If the measure of angle 1 is 75⁰, what is the measure of angle 2?

a)

40⁰

b)

25⁰

c)

65⁰

d)

75⁰

67.

Given the figure, $\angle ABD\ and\ \angle DBC$ are adjacent angles. $\overrightarrow{BD}$ is the common ray. What is the common vertex?

a)

C

b)

D

c)

B

d)

A

68.

How are these angles related?

a)

Vertrical

b)

Complementary

c)

Adjacent

d)

Supplementary

69.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

70.

Choose The WRONG name for this angle.

a)

<J

b)

<I

c)

<4

d)

<IJK

71.

The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a point on the line

c)

a perpendicular to a given line from a point NOT on the line

d)

an angle congruent to a given angle

72.

The given diagram is what kind of construction?

a)

Perpendicular bisector

b)

Congruent angles

c)

Angle bisector

d)

Congruent line segments

73.

When copying line segment AB using a straight edge and a compass, the compass should be used to:

a)

Draw an arc above point A

b)

Measure the length of segment AB

c)

Draw an arc between point A and point B

d)

Measure half the length of line segment AB

74.

What is being constructed in the figure?

a)

the perpendicular bisector of line m

b)

the line perpendicular to line m through a point on the line

c)

the line parallel to line m through a point NOT on the line

d)

an angle that has line m as its bisector

75.

What was duplicated?

a)

line

b)

line segment

c)

ray

d)

angle

76.

The drawing shows the arcs used to construct...what?

a)

a bisector of a given line

b)

a bisector of a given angle

c)

a perpendicular of a given line at a point on the line

d)

an angle congruent to a given angle

77.

What is this?

a)

Compass

b)

Circle creator

c)

Pencil swingy-thing

d)

Arc maker

78.

Euclid

a)

American mathematician - Father of Algebra

b)

Greek mathematician - Father of Calculus

c)

Greek mathematician - Father of Geometry

d)

Greek scientist - Father of Chemistry

79.

What does this symbol mean?

≅

a)

not equal

b)

congruent

c)

equal

d)

half

80.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

81.

What must be true?

a)

1

b)

2

c)

3

d)

4

82.

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.

83.

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.

84.

What do you call the common endpoint of two rays?

a)

Angle

b)

Segment

c)

Ray

d)

Vertex

85.

Name the construction.

a)

midpoint

b)

perpendicular through a point on the line

c)

perpendicular through a point NOT on the line

d)

Circumcenter of a right triangle

First Quarter Geometry Review

Total questions: 85

Worksheet time: 4hrs 35mins

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