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Geometry basics- grade 7

Total questions: 73

Worksheet time: 2hrs 6mins

Name
Class
Date
1.
Factor:
x2 + 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x + 6)(x - 4)
d)
(x + 12)(x - 2)
2.

Factor:

x2 + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

3.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
4.

Factor:

4h² - 12h + 9

a)

(2h - 3)²

b)

4(h + 9)(h + 1)

c)

(2h - 3)(2h + 3)

d)

(h - 9)(4h - 1)

5.

Factor

2x2 - 13x - 70

a)

(2x - 7)(x + 10)

b)

(7x + 5)(x + 2)

c)

(2x + 7)(x - 10)

d)

2(x + 7)(x + 10)

6.

Factor Completely: 2x² + x - 6

a)

(x + 2) (2x - 3)

b)

(x - 6) (2x + 1)

c)

(x + 1) (2x - 6)

d)

(x - 2) (2x + 3)

7.

Factor:

17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

x(17y)

8.

Factor:

5x3 - 7x2

a)

x2(5x - 7)

b)

x(5x2 - 7x)

c)

x3(5 - 7x)

d)

Prime

9.

Factor: 4x2 - 16x - 9

a)

(2x - 9)(2x + 1)

b)

(2x + 9)(2x - 1)

c)

(4x - 1)(x + 9)

d)

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

10.

Factor: 25x2 - 9

a)

(5x + 3)(5x - 3)

b)

(x + 5)(x - 3)

c)

(x - 3)(x + 5)

d)

(5x + 3)(3x + 5)

11.
Factor
4x2 + 64
a)
4(x2 + 16)
b)
4(x - 4)(x + 4)
c)
4(x+ 64)
d)
Prime
12.
Factor:
18a- 15a
a)
15a(3a-1)
b)
3a(6a-1)
c)
3(6a-5)
d)
3a(6a-5)
13.
Factor:
v2 + 3v - 88
a)
(v + 11)(v - 8)
b)
(v + 22)(v - 4)
c)
(v + 8)(v - 11)
d)
(v - 22)(v + 4)
14.

Factor Completely:

2k2-14k-60

Hint: Factor GCF first.

a)

2(k-10)(k-3)

b)

Not Factorable

c)

(k-5)(k+9)

d)

2(k-10)(k+3)

15.

Corresponding Angles are angles that ...

a)

are across from one another.

b)

are in the same position.

c)

share a common vertex.

16.

The image above is an example of what type of angles?

a)

Complementary Angles

b)

Vertical Angles

c)

Corresponding Angles

d)

Supplementary Angles

17.

The distance around a circle is known as...

a)

Circumference

b)

Radius

c)

Perimeter

d)

Area

18.

The two lines above are known as...

a)

Perpendicular Lines

b)

Parallel Lines

c)

Congruent Lines

d)

Similar Lines

19.

A shape having three of more straight sides is called a...

a)

Quadrilateral

b)

Polygon

c)

Circle

d)

Triangle

20.

Which one of the following is a RAY?

a)
b)
c)
d)
21.

What type of triangle has two congruent (equal) sides and two congruent (equal) angles?

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Scale Triangle

d)

Regular Triangle

22.

What is the definition of diameter?

a)

the size a surface takes up.

b)

the distance around a circle.

c)

the distance from the center of a circle to its circumference.

d)

a straight line passing through the center of a circle

to touch both sides of the circumference.

23.

What type of triangle is shown above?

a)

Equilateral Triangle

b)

Right Triangle

c)

Scale Triangle

d)

Isosceles Triangle

24.

What is a solid three-dimensional shape with two identical, parallel polygon bases?

a)

Prism

b)

Cube

c)

Pyramid

d)

Cone

25.

A line is...

a)

a line of indefinite length extending from an end point in one direction

b)

a straight one-dimensional figure of infinite length extending in both directions

c)

section of a line, bounded by two endpoints

d)

a defined position in space

26.

When two or more figure have the same shape and the same size, they are...

a)

Complementary

b)

Regular

c)

Similar

d)

Congruent

27.

When a polygon has all equal sides and all equal angles, it is called a...

a)

Similar Figure

b)

Congruent Figure

c)

Regular Polygon

d)

Normal Polygon

28.

What is volume?

a)

the amount of space occupied by an object

b)

the size a surface takes up

c)

total area of the surface of a three-dimensional object

d)

distance around the outside of a shape, calculated by

adding the length of all sides together

29.

Two angles whose sum is 90º are called what?

a)

Supplementary Angles

b)

Complementary Angles

c)

Congruent Angles

d)

Vertical Angles

30.

The ratio of the circumference of a circle to its diameter,

which is approximately 3.14159 is called...

a)

Perimeter

b)

Circumference

c)

Radius

d)

Pi

31.

Lines that intersect at a 90 degree angle are what type of lines?

a)

Parallel

b)

Perpendicular

c)

Congruent

d)

Right

32.

What type of 3D figure has six congruent square faces?

a)

Cone

b)

Cube

c)

Prism

d)

Pyramid

33.

When figures have the same shape but not necessarily the same size, they are called...

a)

Congruent Figures

b)

Similar Figures

c)

Regular Figures

d)

Normal Figures

34.

The image above is a...

a)

Line

b)

Ray

c)

Line Segment

d)

Point

35.

A triangle with 3 angles that each measure less than 90 degrees is called an ___.

a)

obtuse triangle

b)

acute triangle

c)

right triangle

36.

A triangle with 1 angle that measures more than 90 degrees is called an ___.

a)

obtuse triangle

b)

acute triangle

c)

right triangle

37.

A triangle with 1 angle that measures EXACTLY 90 degrees, which is shown with a box, is called a ___.

a)

obtuse triangle

b)

acute triangle

c)

right triangle

38.

A triangle with 3 congruent sides and 3 angles that each measure 60 degrees is called an ___.

a)

equilateral triangle

b)

isosceles triangle

c)

scalene triangle

39.

A triangle with 2 congruent sides and 2 congruent angles is called an ___.

a)

equilateral triangle

b)

isosceles triangle

c)

scalene triangle

40.

A triangle with no congruent sides and no congruent angles is called a ___.

a)

equilateral triangle

b)

isosceles triangle

c)

scalene triangle

41.

A 4-sided 2-dimensional figure is called a ___.

a)

triangle

b)

quadrilateral

c)

pentagon

42.

A quadrilateral where opposite sides are parallel and equal in length and opposite angles are equal is called a ___.

a)

parallelogram

b)

quadrilateral

c)

trapezoid

43.

A quadrilateral with only one pair of opposite sides (called bases) that are parallel is called a ___.

a)

parallelogram

b)

quadrilateral

c)

trapezoid

44.

A 3-dimensional object with 4 faces that are rectangles and 2 bases that are rectangles is called a ___.

a)

quadrilateral

b)

rectangular prism

c)

parallelogram

45.

Any of the flat surfaces on a 3-dimensional object are called ___.

a)

edges

b)

faces

c)

vertices

46.

Points or corners where two or more edges of a figure touch are called ___.

a)

edges

b)

faces

c)

vertices

47.

Lines that connect two vertices in a figure are called ___.

a)

edges

b)

faces

c)

vertices

48.

The amount of space inside a 2-dimensional figure that is measured in square units is called ___.

a)

perimeter

b)

area

c)

volume

49.

When finding area, the ___ is one edge of the polygon.

a)

base (b)

b)

base (B)

50.

The amount of space a 3-dimensional object takes up that is measured in cubed units is called ___.

a)

perimeter

b)

area

c)

volume

51.

In 3-dimensional objects, the face that is used to name it is called the ___. When finding volume, is also represents the area of the base.

a)

base (b)

b)

base (B)

52.

Select the trapezoid.

a)
b)
c)
d)
53.

Select the square.

a)
b)
c)
d)
54.

Which picture represents a prism?

a)
b)
c)
d)
55.

How do you find the volume of a prism?

a)

Multiply depth and length.

b)

Add depth, height, and length.

c)

Multiply depth, height, and length.

d)

Multiply mass and weight.

56.

What is the length?

a)

11 inches

b)

3.9 inches

c)

4.3 inches

d)

4 inches

57.

What is the height?

a)

4 inches

b)

3.9 inches

c)

4.3 inches

d)

6 inches

58.

What is the depth (or width)?

a)

4 inches

b)

11.5 inches

c)

4.3 inches

d)

3.9 inches

59.

What is the surface area?

a)

12 miles

b)

6 miles

c)

18 miles

d)

36 miles

60.

Where is the penguin?

a)

-6, 4

b)

3, -3

c)

3, 3

d)

3, 8

61.

Where is the shark's nose?

a)

-8, -2

b)

3, 3

c)

-2, -8

d)

the water

62.

an angle that measures less than 90*

a)

acute angle

b)

obtuse angle

c)

right angle

d)

straight angle

63.

lines that meet or cross at a point

a)

parallel lines

b)

perpendicular lines

c)

intersecting lines

64.

an angle that measures greater than 90* but less than 180*

a)

acute angle

b)

obtuse angle

c)

straight angle

d)

right angle

65.

lines that never intersect and are always the same distance apart

a)

perpendicular lines

b)

intersecting lines

c)

parallel lines

66.

part of a line that begins at one endpoint and continues without end in one direction

a)

ray

b)

point

c)

line segment

d)

line

67.

an angle that measures exactly 90*

a)

acute angle

b)

obtuse angle

c)

straight angle

d)

right angle

68.

lines that intersect at right angles to form a right angle

a)

parallel lines

b)

perpendicular lines

c)

points

d)

intersecting lines

69.
How many degrees is a straight angle?
a)
90
b)
360
c)
180
d)
145
70.

What vocabulary word matches the diagram?

a)

Line

b)

Ray

c)

Segment

d)

Angle

71.

Which word matches the symbol?

a)

line

b)

segment

c)

point

d)

ray

72.

Which symbol matches the following word?


Perpendicular

a)
b)
c)
d)
73.

Which definition matches the following word?


Bisect

a)

The exact middle

b)

Consists of two different rays that have the same initial point

c)

To divide into two equal parts

d)

Made up of points with no thickness or width