Free Printable 7-1 & 7-2 Review

1.

Triangle HJK is similar to triangle LMN.

Which proportion can be used to calculate the length of LM in centimeters?

a)

$\frac{7.5}{11.25}=\ \frac{LM}{4.5}$

b)

$\frac{6}{7.5}=\frac{LM}{9}$

c)

$\frac{11.25}{LM}=\ \frac{4.5}{7.5}$

d)

$\frac{9}{LM}=\ \frac{6}{4.5}$

2.

Pentagon FGHJK is similar to pentagon MPQST.

What is the value of x?

a)

13.5

b)

12

c)

9.5

d)

Not here

3.

Triangle ABC is similar to triangle DEF.

Which proportion can be used to find the length of DE in centimeters?

a)

$\frac{4}{3}=\ \frac{DE}{9}$

b)

$\frac{5}{15}=\ \frac{DE}{4}$

c)

$\frac{4}{DE}=\ \frac{9}{3}$

d)

$\frac{9}{DE}=\ \frac{3}{5}$

4.

Triangle RST is similar to triangle RVW.

What is the value of d in millimeters?

a)

27 mm

b)

12 mm

c)

9 mm

d)

13 mm

5.

Quadrilateral KLMN is similar to quadrilateral WXYZ.

Which statement about these quadrilaterals must be true?

a)

$\frac{KL}{WX}=\frac{WZ}{KN}$

b)

Angles NKL is congruent to angle ZWX.

c)

$\frac{KL}{YZ}=\frac{LM}{ZW}$

d)

Angles NKL is congruent to angle XYZ.

6.

The diagram shows a door that has a window in it. The front faces of the door and the window are similar rectangles that have the dimensions shown.

What is h, the height of the window in centimeters?

a)

66 cm

b)

186 cm

c)

150 cm

d)

Not there

7.

Triangle ABC is similar to triangle FGH.

What is the value of x in centimeters?

a)

22.5 cm

b)

8 cm

c)

10.8 cm

d)

30 cm

8.

Mr. Ortiz used similar triangles to make a design. Which statement about the triangles in the design must be true?

a)

They are the same size and shape.

b)

They are the same size but different shapes.

c)

They have corresponding angles that are congruent.

d)

They have corresponding sides that are congruent.

9.

Figure JKLM is similar to figure PQRS.

Which proportion must be true for these figures?

a)

$\frac{QR}{QP}=\ \frac{JK}{LM}$

b)

$\frac{QR}{KL}=\ \frac{RS}{JK}$

c)

$\frac{QR}{MJ}=\ \frac{PQ}{LM}$

d)

$\frac{QR}{KL}=\ \frac{PS}{JM}$

10.

The two parallelograms below are similar.

What is the length in inches of PQ?

a)

40 in.

b)

34 in.

c)

38 in.

d)

14 in.

11.

Triangles ABC and XYZ are similar because

a)

All sides are congruent

b)

$\frac{ZX}{AC}=\frac{YZ}{BC}=\frac{5}{8}$

c)

All angles are proportional

d)

$\angle A\cong\angle X$

12.

sam wants to enlarge a triangle with sides 3, 6, 8 inches. if the shortest side of the new triangle is 15 inches, how long will the longest side be?

a)

12 in.

b)

32 in.

c)

24 in.

d)

40 in.

13.

Rectangles ABCD and WXYZ are

a)

Congruent

b)

Similar

c)

Both

d)

Not congruent nor similar

14.

Polygons PQRS and UVW are similar.

Find the value of side PS.

a)

21

b)

18

c)

32

d)

24

15.

Triangles ABC and ADE are similar.

find the value of x.

a)

12

b)

10

c)

15

d)

18

16.

Triangles ABC and ADE are similar.

find the value of y.

a)

10.5

b)

15.5

c)

7.5

d)

9.5

17.

Triangles KGH and KJL are similar. Find the value of x.

a)

12

b)

5

c)

7

d)

9

18.

The polygons are similar. Find the value of x.

a)

14

b)

32

c)

54

d)

6

19.

If two polygons are similar, then the corresponding angles are

a)

congruent

b)

similar

c)

proportional

d)

different

20.

If two polygons are similar, then the corresponding sides are

a)

congruent

b)

similar

c)

proportional

d)

different

21.

The polygons are similar. Find the measure of angle A.

a)

$125\degree$

b)

$60\degree$

c)

$85\degree$

d)

$135\degree$

22.

The polygons are similar. Find the measure of angle C.

a)

$125\degree$

b)

$60\degree$

c)

$85\degree$

d)

$130\degree$

23.

A card board box that is 9 ft tall casts a shadow that is 4ft long. Find the height of an adult giraffe that casts a 6 ft shadow.

a)

21.5 ft

b)

10.2 ft

c)

15.8 ft

d)

13.5 ft

24.

The two polygons are similar. What is the perimeter of the larger polygon ?

a)

12

b)

32

c)

64

d)

88

25.

Are the triangles similar? Explain.

a)

No, because only one angle of the triangles is congruent.

b)

Yes, because two of the angles are congruent.

c)

No, because only one triangle has a right angle.

d)

Not enough information to determine.

26.

What side corresponds to ED?

a)

TA

b)

NA

c)

TN

d)

RD

27.

x =

a)

60

b)

70

c)

50

d)

25

28.

Using the picture above, what is the length of $\overline{BP}$ ?

a)

7 m

b)

8 m

c)

10.6 m

d)

$48\degree$

29.

Are the two figures similar?

a)

yes

b)

no

30.

Write proportion comparing the rise to the run for each of the similar slope triangles and find the numeric value.

a)

b)

c)

d)

31.

Match the congruent triangles.

a)

Triangle A and Triangle C are congruent.

b)

Triangle B and Triangle D are congruent.

c)

Triangle A and Triangle B are congruent.

d)

Triangle C and Triangle D are congruent.

32.

means

a)

same size

b)

same shape

c)

same size and shape

d)

equal

33.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

34.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

35.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

36.

The symbol means

a)

similar

b)

congruent

c)

different

7-1 & 7-2 Review

Total questions: 36

Worksheet time: 9hrs 0mins

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