Free Printable Big Ideas Geometry 7.1-7.4 Test Review

1.

What is the SUM of the angle measures in a triangle (3 sides)?

a)

60°

b)

90°

c)

120°

d)

180°

2.

What do the angles in an equilateral triangle measure?

a)

30, 60, 90

b)

45, 45, 90

c)

60, 60, 60

d)

35, 55, 90

3.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

4.

The Triangle Sum Theorem deals with _______ of a triangle

a)

angles

b)

sides

5.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

6.

Find the value of X.

a)

100

b)

120

c)

125

d)

130

7.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

8.

Which formula represents how to find the interior angle sum of any polygon?

a)

(number of sides - 2) x 180

b)

(number of sides + 2) x 180

c)

number of sides x 180

d)

number of sides x 360

9.

Find the value of x.

a)

110

b)

90

c)

130

d)

120

10.

The sum of the interior angles in a polygon is 3,240^o. How many sides are in the polygon?

a)

10

b)

582,840

c)

18

d)

20

11.

What is the sum of the interior angles of the hexagon shown?

a)

180°

b)

540°

c)

720°

d)

1080°

12.

What is a regular polygon?

a)

all side lengths are the same length

b)

all angles are the same (equal in measure)

c)

only some side lengths are the same

d)

all side lengths are different

e)

only some angles are the same

13.

What is the measure of ONE interior angle in a regular hexagon (6 sides)?

a)

60°

b)

80°

c)

108°

d)

120°

14.

Match the Name with the Number of Sides

a)

1.

Triangle

b)

2.

Quadrilateral

c)

3.

Pentagon

d)

4.

Hexagon

e)

5.

Octagon

15.

Cutting from vertex to vertex, how many triangles make up this hexagon (6-sided polygon)?

a)

4

b)

5

c)

6

d)

7

e)

3

16.

Cutting from vertex to vertex, how many triangles make up this Octagon (8-sided polygon)?

a)

3

b)

4

c)

5

d)

6

e)

7

17.

Find the value of y.

a)

125

b)

135

c)

140

d)

110

18.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

19.

What is the measure of x?

a)

14

b)

156

c)

95

d)

109

20.

Which angles are vertical angles?

a)

$\angle8\ \&\ \angle7$

b)

$\angle8\ \&\ \angle6$

c)

$\angle8\ \&\ \angle5$

21.

Use these SUPPLEMENTARY angles to find the value of x.

a)

70

b)

10

c)

3

d)

103

22.

In parallelgram ABRK, $\Delta ARB\cong\Delta RAK$ for what reason?

a)

ASA

b)

SAS

c)

AAS

d)

SSS

23.

Given this information, which quadrilateral is proven?

"A quadrilateral with one pair of opposite sides both congruent and parallel"

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

24.

Given this information, which quadrilateral is proven?

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

25.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides parallel

b)

Opposite sides equal

c)

Opposite sides parallel and equal

d)

Not enough info

26.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite angles equal

b)

Opposite sides parallel

c)

Opposite sides equal

d)

Not enough info

27.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides equal

b)

Diagonals bisect each other

c)

Opposite angles equal

d)

Not enough info

28.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite angles equal

b)

Opposite sides equal

c)

Diagonals bisect each other

d)

Not enough info

29.

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

30.

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

31.

Which could tell you that this is a parallelogram?

a)

Opposite angles are supplementary

b)

Consecutive angles are supplementary

c)

Opposite sides are parallel

d)

Diagonals bisect each other

e)

This is not a parallelogram

32.

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

a)

True

b)

False

33.

You can prove both pairs of opposite sides are congruent in a parallelogram using the distance formula.

a)

True

b)

False

34.

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

a)

True

b)

False

35.

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)

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

36.

What formula would you use to show lengths are equal?

a)

Slope Formula

b)

Distance Formula

c)

Midpoint Formula

37.

What formula would you use to find the length of each side of a parallelogram?

a)

b)

c)

38.

If you are using the distance formula to prove a parallelogram in the coordinate plane, how many times do you have to do it?

a)

1

b)

2

c)

3

d)

4

39.

If I have a parallelogram labeled ABCD and I am going to prove it using the slope formula, what sides need to be congruent?

a)

$AB\parallel CD\ and\ AD\parallel BC$

b)

$AB\parallel BC\ and\ BC\parallel AB$

c)

$AB\ \parallel CD\ and\ CD\parallel BC$

d)

$AB\parallel AD\ and\ AB\parallel AC$

40.

If I have a parallelogram labeled ABCD and I am going to prove it using the distance formula, what sides need to be congruent?

a)

$AB\cong CD\ and\ AD\cong BC$

b)

$AB\cong BC\ and\ BC\cong AB$

c)

$AB\ \cong CD\ and\ CD\cong BC$

d)

$AB\cong AD\ and\ AB\cong AC$

41.

How many pairs of sides are congruent in a parallelogram?

a)

1

b)

2

c)

3

d)

4

42.

How do you prove two lines are parallel?

a)

Use the distance formula

b)

Use the midpoint formula

c)

Use the slope formula and show the slopes are the same

d)

Use the slope formula and show the slopes are opposite reciprocals

43.

Which shape is NOT a type of parallelogram?

a)

trapezoid

b)

rectangle

c)

rhombus

d)

square

44.

Is the quadrilateral a parallelogram?

a)

Yes; one pair of opposite sides are parallel

b)

Yes; one pair of opposite sides are congruent

c)

Yes; opposite sides are parallel and congruent

d)

No; only one pair of sides are parallel

e)

No; only one pair of sides are congruent

45.

Which theorem can be used to prove the quadrilateral is a parallelogram?

a)

Parallelogram Opposite Sides Converse Theorem

b)

Parallelogram Opposite Angles Converse Theorem

c)

Opposite Sides Parallel and Congruent Theorem

d)

Parallelogram Diagonals Converse Theorem

46.

Which theorem can be used to prove the quadrilateral is a parallelogram?

a)

Parallelogram Opposite Sides Converse Theorem

b)

Parallelogram Opposite Angles Converse Theorem

c)

Opposite Sides Parallel and Congruent Theorem

d)

Parallelogram Diagonals Converse Theorem

47.

Which theorem can be used to prove the quadrilateral is a parallelogram?

a)

Parallelogram Opposite Sides Converse Theorem

b)

Parallelogram Opposite Angles Converse Theorem

c)

Opposite Sides Parallel and Congruent Theorem

d)

Parallelogram Diagonals Converse Theorem

48.

Which theorem can be used to prove the quadrilateral is a parallelogram?

a)

Parallelogram Opposite Sides Converse Theorem

b)

Parallelogram Opposite Angles Converse Theorem

c)

Opposite Sides Parallel and Congruent Theorem

d)

Parallelogram Diagonals Converse Theorem

49.

Find the value of x that makes the quadrilateral a parallelogram.

a)

41

b)

12

c)

14

d)

This quadrilateral cannot be a parallelogram.

50.

Find the value of x that makes the quadrilateral a parallelogram.

a)

29

b)

42

c)

78

d)

11

51.

A quadrilateral will all congruent sides would best be described as a -?-

a)

square

b)

rectangle

c)

rhombus

d)

parallelogram

52.

A quadrilateral will all congruent angles would best be described as a -?-

a)

square

b)

rectangle

c)

rhombus

d)

parallelogram

53.

A quadrilateral opposite angles congruent would best be described as a -?-

a)

square

b)

rectangle

c)

rhombus

d)

parallelogram

54.

Diagonals are congruent in all -?-

a)

quadrilaterals

b)

rectangles

c)

rhombuses

d)

parallelograms

55.

Diagonals are perpendicular in all -?-

a)

quadrilaterals

b)

rectangles

c)

rhombuses

d)

parallelograms

56.

The fact that diagonals are ⊥ means this shape is a -?-

a)

quadrilateral

b)

rectangle

c)

rhombus

d)

parallelogram

57.

The fact that diagonals bisect the opposite angles means this shape is a -?-

a)

quadrilateral

b)

rectangle

c)

rhombus

d)

parallelogram

58.

BCDE is square. Find CE.

a)

40

b)

90

c)

80

d)

20

59.

BCDE is square. Find m∠BFC

a)

45

b)

90

c)

180

d)

40

60.

A square is a rhombus.

a)

always true

b)

sometimes true

c)

never true

61.

Two properties of a quadrilateral are listed below.

· The quadrilateral always has 4 congruent angles

· The quadrilateral does not always have 4 congruent sides

Which of the following quadrilaterals has both properties?

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

62.

Which quadrilateral(s) have congruent diagonals? Select all that apply.

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

63.

Consider Rectangle HGFE. What is the length of HG?

a)

x = 4

b)

x = 8

c)

x = 21.5

d)

x = 20

64.

Solve for x in the rectangle.

a)

x=2

b)

x=7

c)

x=8

d)

x=3

Big Ideas Geometry 7.1-7.4 Test Review

Total questions: 64

Worksheet time: 4hrs 37mins

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