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CS Venn Diagram, Similarity and Congruent

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Which shapes are congruent?

a)

A and H

b)

C and F

c)

F and J

d)

B and E

2.

Given that two shapes (ABCD and WZYX) are congruent.

∠ABC = ∠WXY=....\angle ABC\ =\ \angle WXY=....  

a)

80

b)

60

c)

40

d)

20

3.

Given that the two shapes are congruent.

PS = ...... = ..... cm

a)

AD = 2 cm

b)

AB = 5 cm

c)

DC = 6 cm

d)

BC = 5.3 cm

4.

Are the following pairs of triangle congruent? Why?

a)

No, because the sides of two triangles are the same

b)

Yes, because the angles of two triangles are the same

c)

No, because the sides and angles of two triangle must be same

d)

Yes, because it looks the same

5.

Two triangles are congruent, ΔABC ≡ΔCDE\Delta ABC\ \equiv\Delta CDE , calculate ∠ABC\angle ABC  !

a)

20

b)

60

c)

90

d)

100

6.

In the figure, two triangles are congruent ΔABC≡ΔCDE\Delta ABC\equiv\Delta CDE  . Calculate ∠BAC\angle BAC  

a)

38

b)

114

c)

28

d)

118

7.

Is ΔABC\Delta ABC  similar with ΔPQR\Delta PQR  ? Explain why!

a)

Yes, because one angle is the same

b)

Yes, because all angles are the same

c)

No, because PQR looks larger

d)

No, because only one angle is the same

8.

Is ΔABC\Delta ABC  similar with ΔPQR\Delta PQR  ? Explain why!

a)

Yes, because one angle is the same

b)

Yes, because all angles are the same

c)

No, because PQR looks larger

d)

No, because only one angle is the same

9.

Two triangles, ΔABC\Delta ABC  and ΔPQR\Delta PQR are similar. Find x and y!

a)

x = 118

y = 28

b)

x = 28

y = 118

c)

x = 34

y = 28

d)

x = 28

y = 34

10.

Is ΔABC\Delta ABC  similar with ΔPQR\Delta PQR  ? Explain why!

a)

Yes, because both are isosceles triangle

b)

Yes, because all angles are the same

c)

No, because PQR looks larger

d)

No, because none of the angle is the same