Free Printable Geometry Topic 6 Review

1.

What is x?

a)

35

b)

45

c)

55

d)

90

2.

All trapezoids have exactly one set of _____________ sides .

a)

congruent

b)

parallel

c)

consecutive

d)

bisecting

3.

Find te measure of the midsegment XY:

a)

7.5

b)

3.75

c)

2

d)

3

4.

Find the value of x:

a)

2

b)

4

c)

1

d)

5

5.

Find the measure of ∠3:

a)

90°

b)

42°

c)

48°

d)

24°

6.

What is the sum of the exterior angles for a nonagon?

a)

180

b)

1260

c)

360

d)

9

7.

If the polygon is regular, what is the measure of angle h?

a)

360

b)

540

c)

72

d)

108

8.

What is the measure of one interior angle of a regular 45-gon?

a)

180°

b)

360°

c)

172°

d)

93°

9.

Solve for x.

a)

100

b)

120

c)

125

d)

130

10.

What is the sum of the exterior angles of a 20-gon?

a)

180

b)

360

c)

3240

d)

162

11.

Base angles of an isosceles trapezoid are _____.

a)

neither

b)

supplementary

c)

congruent

12.

Find the value of x in this trapezoid.

a)

35

b)

3

c)

33

d)

None of these

13.

Calculate the sum of the interior angle measures of a polygon with 25 sides.

a)

360 degrees

b)

4500 degrees

c)

335 degrees

d)

4140 degrees

14.

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

a)

45 degrees

b)

360 degrees

c)

1080 degrees

d)

135 degrees

15.

What does it mean when diagonals bisect each other?

a)

Diagonals are angle bisectors

b)

Each diagonal bisects the other & the diagonal is cut in half at the intersection

c)

To draw a diagonal line

16.

Do diagonals bisect each other for a Rhombus?

a)

yes

b)

no

17.

If I draw the diagonal lines in a rectangle will they be angle bisectors?

a)

Yes

b)

No

18.

If I draw the diagonal lines in a square, will those diagonals be angle bisectors?

a)

Yes

b)

No

19.

Do diagonals of a rectangle bisect each other?

a)

Yes

b)

No

20.

Which of the following statements is false?

a)

all four angles are congruent

b)

the legs are congruent

c)

the diagonals are congruent

d)

the base angles are congruent

21.

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

22.

Which of the following statements about a kite is false?

a)

one diagonal bisects the other diagonal

b)

two angles are congruent

c)

the diagonals form 4 congruent triangles

d)

the diagonals are perpendicular

23.

Which of the following statements is true?

a)

the diagonals bisect each other

b)

the diagonals are congruent

c)

∠B and ∠D are congruent

d)

DB bisects AC

24.

Find the measure of ONE exterior angle of a regular decagon.

a)

36

b)

10

c)

18

d)

40

25.

A polygon's interior angles add up to 2700. How many sides does the polygon have?

a)

17

b)

15

c)

19

d)

11

26.

Find the value of x

a)

87°

b)

54°

c)

101°

d)

92°

27.

What is the relationship between angle 4 and angle 9?

a)

Vertical Angles

b)

Alternate Interior Angles

c)

Consecutive Interior Angles

d)

Linear Pair

28.

Which of the following statements is false?

a)

∠A = ∠B

b)

AC = BD

c)

the diagonals are perpendicular

d)

the legs are congruent

29.

What is the measure of ∠R?

a)

65 degrees

b)

115 degrees

c)

180 degrees

d)

None of the above

30.

What is the measure of ∠A?

a)

15 degrees

b)

115 degrees

c)

180 degrees

d)

None of the above

31.

Classify the following quadrilateral:

a)

Right trapezoid

b)

Isosceles trapezoid

c)

Parallelogram

d)

Kite

32.

What is the special segment AS called?

a)

Altitude

b)

Median

c)

Angle Bisector

d)

Perpendicular Bisector

33.

Find the value of y.

a)

65

b)

110

c)

75

d)

None of these.

34.

Figure A is a...

a)

Rectangle

b)

Square

c)

Rhombus

35.

The diagonals of a rectangle are

a)

parallel

b)

congruent

c)

perpendicular

d)

not congruent

36.

A parallelogram that is both a rhombus and a rectangle is called a __________.

a)

Quadrilateral

b)

Parallelogram

c)

Trapezoid

d)

Square

37.

Find the length of PQ.

a)

9.5

b)

15

c)

14

d)

6.5

38.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

39.

The opposite angles of a parallelogram are ...

a)

complementary

b)

congruent

c)

supplementary

d)

perpendicular

40.

A parallelogram has consecutive angles that are ...

a)

Congruent

b)

Supplementary

c)

Complementary

d)

Right Angles

41.

True or False: ∠BAD is congruent to ∠DCB

a)

True

b)

False

42.

If AE = 5, find EC

a)

5

b)

2.5

c)

10

d)

Cannot be determined

43.

If DB = 16, find ED

a)

8

b)

16

c)

32

d)

Cannot be determined

44.

Which has diagonals that bisect each other?

a)

all Parallelograms

b)

only Rectangles

c)

only Rhombuses

d)

only Squares

45.

Which is equiangular?

a)

Rectangles

b)

Rhombuses

c)

Rhombuses and Squares

d)

Rectangles and Squares

46.

The diagonals of a rectangle are

a)

parallel

b)

congruent

c)

perpendicular

d)

not congruent

47.

Find the measure of angle 2

a)

68

b)

22

c)

136

d)

44

48.

In rhombus TUVW, find m∠1.

a)

62

b)

28

c)

90

d)

78

49.

What is the formula for the sum of the interior angles of a polygon?

a)

S=360

b)

S=(n-2)180

c)

n=360/ext. angle

d)

1 int. angle + 1 ext. angle=180

50.

What is the formula for finding ONE interior angle of a polygon?

a)

S= (n-2)180

b)

S= (n-180)2

c)

S= (n-2)180 / n

d)

S= (n - 180)2 / n

51.

Find the exterior angle of a hexagon.

a)

30 degrees

b)

60 degrees

c)

180 degrees

d)

360 degrees

52.

The sides of parallelogram ABCD

are represented as shown.

Find DA.

a)

10

b)

24

c)

12

d)

30

53.

In rhombus DOGS, DO = 2p + 9

and OG = 3p - 6.

Find GS.

a)

3

b)

19

c)

15

d)

39

54.

Solve for the variables in the given parallelogram.

a)

g=61, h=25

b)

g=60, h=9

c)

g=61, h=9

55.

My diagonals are perpendicular. I am a: Select all that apply.

a)

Rectangle

b)

Square

c)

Rhombus

d)

Kite

e)

Trapezoid

56.

Has two bisecting diagonals. Select all that apply.

a)

Rectangle

b)

Parallelogram

c)

Square

d)

Rhombus

e)

Kite

57.

If the figure is a rectangle, the value of x is...

a)

2

b)

12

c)

13

d)

28

58.

ABCD is an isosceles trapezoid with AC = 6x+2 and BD = 4x+8. Solve for x and then find the length of AC.

a)

x = 17; AC = 104

b)

x = 3; AC = 20

c)

x = 3; AC = 16

d)

x = 17; AC = 16

59.

Find the measure of the x (midsegment):

a)

25

b)

9

c)

12

d)

15

60.

The lengths of the diagonals of a rhombus are 2x and 8x. What expression gives the perimeter of the rhombus in simplest form?

a)

$\sqrt{68x^2\ }units$

b)

$x\sqrt{17}units$

c)

$4x\sqrt{17}units$

d)

$4x\sqrt{5}units$

Geometry Topic 6 Review

Total questions: 60

Worksheet time: 3hrs 3mins

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