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Worksheets

Similar Figures-1

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Which symbol means similar?

a)

==

b)

\cong

c)

\sim

d)

\angle

2.

Which symbol means congruent?

a)

==

b)

\sim

c)

\ne

d)

\cong

3.

Are the two figures are similar?

a)

No, the sides are not congruent

b)

No, the sides are not proportional

c)

Yes, the sides are congruent

d)

Yes, the sides are proportional

4.

Are the two figures are similar?

a)

No, the sides are not congruent

b)

No, the sides are not proportional

c)

Yes, the sides are congruent

d)

Yes, the sides are proportional

5.

Triangle XYZ and KLM are  congruent.
What is the ratio of lengths of  YZ\overline{YZ}  and  LM\overline{LM}  ?

a)

1:3

b)

1:4

c)

1:1

d)

1:2

6.

If  Δ\Delta  ABC is similar to  Δ\Delta  DFE, which angle of DFE corresponds to <C<C ?

a)

 <A<A  

b)

 <E<E  

c)

 <D<D  

d)

 <F<F  

7.

If   ABCD  \sim  WXYZ, which line segment corresponds to  BC\overline{BC}  ?

a)

 XY\overline{XY}  

b)

 YZ\overline{YZ}  

c)

 AD\overline{AD}  

d)

 WX\overline{WX}  

8.

Quadrilateral PQMN is similar to quadrilateral WXYZ,

what is the measurement of angle Z?

a)

65

b)

115

c)

80

d)

100

9.

What must the value of X be in order for the figures to be similar?

a)

10 km

b)

6 km

c)

8 km

d)

4 km

10.

If ΔABC ΔZXYJKLFGH\Delta ABC\ \sim\Delta ZXY\sim JKL\sim FGH  ,


which statement is true?

a)

 F  corresponds  to  B\angle F\ \ corresponds\ \ to\ \ \angle B  

b)

 X  corresponds  to  A\angle X\ \ corresponds\ \ to\ \ \angle A  

c)

 H  corresponds  to  C\angle H\ \ corresponds\ \ to\ \ \angle C  

d)

 K  corresponds  to  Y\angle K\ \ corresponds\ \ to\ \ \angle Y  

11.

If triangle UVW is similar to triangle XYY,

what is the value of X?

a)

28 m

b)

5 m

c)

11.4 m

d)

35 m

12.

If quadrilateral ABCD is similar to quadrilateral EFGH,

what is the value of x?

a)

45

b)

51

c)

41

d)

20

13.

If triangle ABC is similar to triangle DEF,

what is the value of x?

a)

16

b)

14

c)

10

d)

12

14.

Triangle YRD and triangle KJX are similar.

Which statement is true?

a)

 YR\overline{YR} corresponds to  KX\overline{KX}  

b)

 YD\overline{YD} corresponds to  XJ\overline{XJ}  

c)

 RD\overline{RD} corresponds to  JX\overline{JX}  

d)

 DR\overline{DR} corresponds to  KJ\overline{KJ}  

15.

Triangle YRD and triangle KJX are similar.

Which statement is true?

a)

Y X\angle Y\ \ \cong\ \angle X

b)

J R\angle J\ \ \cong\ \angle R

c)

D K\angle D\ \ \cong\ \angle K

d)

K X\angle K\ \ \cong\ \angle X