EduSahara™ Worksheet

Question 1

1.

With the data in the given figure, △CED ≅ △DFC by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 2

2.

With the data in the figure, △DEG ≅ △EDF by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

RHS Congruency
(v)

SAS Congruency

Question 3

3.

With the data in the given figure, △NOQ ≅ △ONP by which property?

(i)

ASA Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

RHS Congruency

Question 4

4.

Identify the property by which the two given triangles are congruent

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency

Question 5

5.

With the data in the given figure, △EFI ≅ △EGH by which property?

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

ASA Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 6

6.

With the data in the given figure, △VQR ≅ △URQ by which property?

(i)

ASA Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 7

7.

With the data in the given figure, △FIG ≅ △FIH by which property?

(i)

SAS Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 8

8.

With the data in the figure, △MNQ ≅ △MOR by which property?

(i)

not congruent
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 9

9.

With the data in the figure, △FIG ≅ △HIG by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SAS Congruency
(iv)

SSS Congruency
(v)

not congruent

Question 10

10.

In the given figure, △EFG ≅ △WVU. Which of the following are true?

a)	∠V = 57°
b)	∠U = 73°
c)	∠W = 57°
d)	∠V = 51°
e)	∠U = 51°
f)	∠W = 73°

(i)

{a,e,f}
(ii)

{d,b,f}
(iii)

{c,a,e}
(iv)

{b,a}
(v)

{c,e}

Question 11

11.

With the data in the figure, △HIK ≅ △LJK by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 12

12.

With the data in the figure, △CEF ≅ △ECD by which property?

(i)

RHS Congruency
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

ASA Congruency

Question 13

13.

With the data in the given figure, △GOH ≅ △GOI by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 14

14.

With the given data in the figure, △REF ≅ △QFE by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 15

15.

In the given figure, which of the following is true?

(i)

△FGH ≅ △UVW
(ii)

△FGH ≅ △WVU
(iii)

△FGH ≅ △VWU
(iv)

△FGH ≅ △WUV
(v)

△GHF ≅ △UVW

Question 16

16.

Identify the property by which the two given triangles are congruent

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency

Question 17

17.

With the data in the given figure, △QJK ≅ △RKJ by which property?

(i)

RHS Congruency
(ii)

SSS Congruency
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

not congruent

Question 18

18.

With the data in the figure, △GKJ ≅ △HKI by which property?

(i)

ASA Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 19

19.

In the given figure, △HFG is an isosceles triangle. EI ⟂ FG passing through H. △EHF ≅ △EHG by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

RHS Congruency

Question 20

20.

With the data in the given figure, △CFO ≅ △DEO by which property?

(i)

RHS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 21

21.

With the given data in the figure, △CDE ≅ △EFC by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

not congruent

Question 22

22.

Which of the following are true?

a)	Similar and congruent are not synonymous.
b)	If two figures are similar, then they are congruent too.
c)	Congruent figures have same area.
d)	Similar figures have same area.
e)	If two figures are congruent, then they are similar too.

(i)

{b,a}
(ii)

{a,c,e}
(iii)

{b,a,c}
(iv)

{d,c}
(v)

{b,d,e}

Question 23

23.

With the given data in the figure, △BCD ≅ △EDC by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

RHS Congruency

Question 24

24.

In the given figure, △ABC ≅ △WVU. Which of the following are true?

a)	∠B = ∠V
b)	BC = VU
c)	∠C = ∠U
d)	∠A = ∠U
e)	BC = WV

(i)

{a,b,c}
(ii)

{d,a}
(iii)

{d,a,b}
(iv)

{e,b}
(v)

{d,e,c}

Question 25

25.

Which of the following are true?

a)	Any two circles are congruent.
b)	Any two circles are similar.
c)	Any two triangles are similar.
d)	Any two squares are similar.
e)	Any two triangles are congruent.
f)	Any two squares are congruent.

(i)

{a,d,b}
(ii)

{c,d}
(iii)

{a,b}
(iv)

{b,d}
(v)

{e,f,b}

Assignment Key