Free Printable Congruent and Similar Polygons

1.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

2.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

3.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

4.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

5.

What is congruency?

a)

Same size and shape

b)

Same size

c)

segment

d)

congruent

6.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

7.

All corresponding angles in congruent figures are congruent.

a)

True

b)

False

8.

Complete the statement: $\overline{FD}\ \ \cong$ _____

a)

IK

b)

KJ

c)

JI

d)

EF

9.

Polygon ABGH ≅ polygon CDEF. What is the m<G?

a)

90^o

b)

75^o

c)

105^o

d)

62^o

10.

Determine the relationship of the figures.

a)

Congruent

b)

Not Congruent

c)

Similar

11.

Determine the relationship of the figures.

a)

Congruent

b)

Not Congruent

c)

Similar

12.

Find missing side

a)

5

b)

7

c)

9

d)

11

13.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

14.

Find the scale factor.

a)

4:1

b)

1:3

c)

2:1

d)

7:3

15.

A proportion is two ratios that are __________.

a)

blue

b)

equal

c)

not equal

16.

When figures are similar, their corresponding sides are__________________.

a)

congruent

b)

proportional

c)

invisible

17.

$\Delta PRQ\ \sim\ \Delta DEF$
What is $m\angle D$ ?

a)

35

b)

89

c)

56

d)

40

18.

$\Delta PRQ\ \sim\ \Delta DEF$
What is $DE$ ?

a)

48

b)

33.33

c)

60

d)

40

19.

Solve for x. The two figures are similar.

a)

x = 6

b)

x = 9

c)

x = 7

d)

x = `0

20.

Find x and y.

a)

4, 24

b)

9, 12

c)

6, 8

21.

What side corresponds with AB?

a)

BC

b)

FE

c)

DE

d)

FD

22.

Find the missing side of the large triangle, then, find the PERIMETER of the large triangle.

a)

the missing side is 12, the perimeter is 24

b)

the missing side is 12, the perimeter is 36

23.

What is the similarity statement for the triangle pair?

a)

∠Y~∠W

b)

∠X~∠N

c)

∠Z~∠E

d)

∠Z~∠W

24.

Which side length corresponds with EF?

a)

ML

b)

LM

c)

OL

d)

EH

25.

Are these figures similar?

a)

yes

b)

no

26.

Complete the similarity statement

a)

Triangle DFE

b)

Triangle EDF

c)

Triangle FED

d)

Not similar

27.

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

a)

20 feet

b)

24 feet

c)

29 feet

d)

51 feet

28.

Triangle HIJ is similar to triangle STR. What is the perimeter of triangle STR?

a)

32

b)

37

c)

40

d)

42

29.

.
.
.
.
What is the name of this kind of triangle?

a)

Right

b)

Scalene

c)

Isosceles

d)

Equilateral

30.

Classify the following Triangle

a)

Acute Scalene Triangle

b)

Acute Isosceles Triangle

c)

Right Scalene Triangle

d)

Obtuse Isosceles Triangle

31.

Name this triangle by its angle.

a)

right

b)

obtuse

c)

acute

d)

small

32.

What is the value of x?

a)

15

b)

9

c)

12

d)

11

33.

a)

A

b)

B

c)

C

d)

D

34.

Solve for x.

a)

-11

b)

9

c)

-9

d)

10

35.

Check all that apply.

a)

Rectangle

b)

Rhombus

c)

Square

d)

Parallelogram

36.

Check all that apply.

a)

Trapezoid

b)

Quadrilateral

c)

Parallelogram

d)

Rhombus

37.

A triangle has angles measuring (64 degrees, 25 degrees, and 88 degrees). What would this triangle be classified based on its angles?

a)

Equilaterlal Triangle

b)

Right Triangle

c)

Acute Triangle

38.

Name the following shape:

a)

Parallelogram

b)

Trapezoid

c)

Square

d)

Rhombus

39.

Name the following shape:

a)

Right Scalene ∆

b)

Right Isosceles ∆

c)

Right Equilateral ∆

d)

Obtuse Isosceles ∆

40.

Find the measure of the missing angle:

a)

70º

b)

110º

c)

90º

d)

120º

41.

A hexagon is a 7-sided polygon.

a)

True

b)

False

42.

What do you call a 10-sided polygon?

a)

Decagon

b)

Pentagon

c)

Hexagon

d)

Heptagon

43.

What is a regular polygon?

a)

A polygon that has 1 set of parallel sides and 1 right angle.

b)

A polygon that has 2 sets of parallel sides and 2 right angles.

c)

A polygon that has 2 right angles and 2 sides congruent.

d)

A polygon in which all sides and all angles are congruent.

44.

Which of the following statements is NOT true?

a)

All rectangles are parallelograms.

b)

All squares are rectangles.

c)

All rectangles are squares.

d)

All squares are rhombuses.

45.

Which of the following statements about a trapezoid is true?

a)

A trapezoid has four congruent sides.

b)

A trapezoid has one set of parallel sides.

c)

A trapezoid has four congruent angles.

d)

A trapezoid has two sets of parallel sides.

46.

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

a)

1440°

b)

900°

c)

1080°

d)

1260°

47.

Find the value of X.

a)

100

b)

120

c)

125

d)

130

48.

Find the value of x.

a)

110

b)

90

c)

130

d)

120

49.

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

a)

720°

b)

900°

c)

1080°

d)

1260°

50.

What is the measure of ONE interior angle in a regular pentagon (5-sides)?

a)

90°

b)

108°

c)

120°

d)

180°

Congruent and Similar Polygons

Total questions: 50

Worksheet time: 2hrs 52mins

Similar Resources on Wayground