Free Printable HG Review Chapter 5

1.

If the sum of the interior angles of a polygon equals 900°, how many sides does the polygon have?

a)

7

b)

9

c)

10

d)

12

2.

What is the value of x?

a)

26.25

b)

38.75

c)

24

d)

25.125

3.

An exterior angle of a regular polygon
measures 36°. How many sides does
the polygon have?

a)

10

b)

5

c)

14

d)

9

4.

Find the value of x

a)

141

b)

150

c)

135

d)

163

5.

Find the measureof the sum of the exterior angles in a hexagon

a)

360

b)

180

c)

720

d)

540

6.

Find the value of X

a)

94

b)

25

c)

36

d)

180

7.

What is the measure of each interior angle of a regular octagon?

a)

135

b)

180

c)

145

d)

190

8.

The measures of one interior angle of a regular polygon is 140^o. What is the name of the polygon?

a)

Decagon

b)

Nonagon

c)

Heptagon

d)

Hexagon

9.

What is the formula for the sum of exterior angles in a polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

10.

What is the formula for one exterior angle in a regular polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

11.

What is the formula for one interior angle in a regular polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

12.

Which of the following statements is false?

a)

BD and AC are perpendicular

b)

BD and AC are congruent

c)

∠A and ∠C are congruent

d)

BD bisects AC

13.

Solve for Angle 1 and Angle 2.

a)

1= 92, 2 = 46 degrees

b)

1 = 118, 2 = 118 degrees

c)

1 = 92, 2 = 92

d)

1 = 136, 2 = 100

14.

The diagonals in a kite __________.

a)

are perpendicular

b)

are congruent

c)

bisect each other

15.

According the the definition of a kite, "A kite is a quadrilateral with..."

a)

2 pairs of OPPOSITE congruent sides.

b)

2 pairs of CONSECUTIVE congruent sides.

c)

4 congruent sides.

d)

congruent diagonals.

16.

Find the value of x and y in the kite

a)

x=55 y=35

b)

x=35 y=55

c)

x=145 y=35

d)

x=75 y=35

17.

What is the value of x, y and z on the kite.

a)

x=90

y=57

z=57

b)

x=90

y=33

z=57

c)

x=180

y=57

z=33

d)

x=33

y=57

z=90

18.

Base angles of an isosceles trapezoid are _____.

a)

neither

b)

supplementary

c)

congruent

19.

The legs of an isosceles trapezoid are _____.

a)

parallel

b)

perpendicular

c)

congruent

d)

skew

20.

Find the midsegment.

a)

14

b)

28

c)

12

d)

16

21.

A midsegment of a trapezoid

a)

is the same as a diagonal

b)

is half the sum of the lengths of the bases

c)

is parallel to the legs

d)

none of these

22.

Solve for x.

a)

11

b)

27

c)

29

d)

10

23.

Find the length of the midsegment.

a)

26

b)

20

c)

12

d)

8

24.

Find the length of the midsegment.

a)

15

b)

11

c)

16

d)

20

25.

Find the length of AB

a)

6

b)

11

c)

17

d)

68

26.

What is the value of x?

a)

10

b)

No Solution

c)

5

d)

2

27.

Determine the most specific name for the quadrilateral.

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

28.

Determine the most specific name for the quadrilateral.

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

29.

Determine the most specific name for the quadrilateral.

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

30.

Which quadrilateral(s) have four right angles. Select all that apply.

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

31.

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

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

32.

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

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

33.

Classify the quadrilateral (give the most specific name)

a)

Parallelogram

b)

Square

c)

Rectangle

d)

Rhombus

34.

Classify the quadrilateral (give the most specific name)

a)

Parallelogram

b)

Square

c)

Rectangle

d)

Rhombus

35.

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

a)

quadrilateral

b)

rectangle

c)

rhombus

d)

parallelogram

36.

Check ALL that are true about the DIAGONALS of a rectangle.

a)

the diagonals bisect each other

b)

the diagonals are congruent

c)

the diagonals bisect opposite angles

d)

the diagonals are perpendicular

37.

Check ALL that are true about the DIAGONALS of a rhombus.

a)

the diagonals bisect each other

b)

the diagonals are congruent

c)

the diagonals bisect opposite angles

d)

the diagonals are perpendicular

38.

Which of the following are NOT true about diagonals of a rhombus?

a)

they are perpendicular

b)

they bisect each other

c)

they are congruent

39.

In a rhombus, opposite angles are __________.

a)

congruent

b)

supplementary

c)

corresponding

d)

parallel

40.

If PONS is a rectangle, PN = 2x - 5 and OS = 17. Solve for the value of x.

a)

6

b)

11

c)

12

d)

22

41.

If JOSE is a rhombus, JO = 3x - 5 and OS = 13 cm. What is the perimeter of JOSE?

a)

6 cm

b)

18 cm

c)

48 cm

d)

52 cm

42.

If ROME is a square and its area is 144 square feet, what is its perimeter?

a)

12ft

b)

36 ft

c)

48 ft

d)

72 ft

43.

If JOSE is a rhombus and the measure of angle ESO is 124, what is the measure of angle SEO?

a)

28

b)

56

c)

62

d)

90

44.

If PN = 2x + 5, ON = x + 3, and OS = 3x - 2. Solve for PS.

a)

7 units

b)

10 units

c)

17 units

d)

19 units

45.

Find v.

a)

81

b)

4

c)

27

d)

90

46.

Find y.

a)

42

b)

7

c)

6

d)

180

47.

Solve for x in the rectangle.

a)

x=2

b)

x=7

c)

x=8

d)

x=3

48.

Given Rhombus TUVW. Find m∠4.

a)

62

b)

28

c)

90

d)

78

49.

Find y.

a)

2

b)

4

c)

15

d)

10

50.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

51.

Solve for x in the rectangle.

a)

25

b)

20

c)

30

d)

25/3

52.

What are the factors of
25x² - 81?

a)

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

b)

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

c)

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

d)

Cannot be factored

53.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

54.

Factor completely: 2x²+22x+60

a)

(2x+10)(x+6)

b)

(x+5)(x+6)

c)

2(x+1)(x+30)

d)

2(x+5)(x+6)

55.

Factor completely: x²+16x+64

a)

(x+4)(x+16)

b)

(x-8)(x-8)

c)

(x+2)(x+32)

d)

(x+8)(x+8)

56.

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)

57.

Find the value of x that satisfies the imagine.

a)

$-\frac{6}{5}and\ \frac{3}{5}$

b)

$-\frac{6}{5}$

c)

$\frac{3}{5}$

d)

No solution

58.

Find the value of x that satisfies the imagine.

a)

$\frac{8}{7}and\ \frac{2}{5}$

b)

$\frac{2}{5}$

c)

$-\frac{8}{7}$

d)

$\frac{8}{7}$

HG Review Chapter 5

Total questions: 58

Worksheet time: 3hrs 50mins

Similar Resources on Wayground