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Question

Match the figures in Column-I with their corresponding congruence criterion given in Column-II.
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  1. (i) (b), (ii) (d), (iii) (a), (iv) (c)
  2. (i) (a), (ii) (c), (iii) (b), (iv) (d)
  3. (i) (c), (ii) (a), (iii) (b), (iv) (d)
  4. (i) (b), (ii) (c), (iii) (a), (iv) (d)

A
(i) (c), (ii) (a), (iii) (b), (iv) (d)
B
(i) (b), (ii) (d), (iii) (a), (iv) (c)
C
(i) (a), (ii) (c), (iii) (b), (iv) (d)
D
(i) (b), (ii) (c), (iii) (a), (iv) (d)
Solution
Verified by Toppr

The correct option is C (i) (b), (ii) (c), (iii) (a), (iv) (d)
In fig (i), ADB and ADC
It is given that, AB=AC, ADB=ADC=90o and AD=AD
So, By RHS criteria $ADBADC

In fig (ii), BAD and DCB
It is given that, BA=DC,AD=CB and BD=DB
By SSS criteria BADDCB

In fig (iii), ABC and CDA
ABCD and BCDA
BAC=DCA and BCA=DAC [Alternate angles between parallel lines]
AC=CA [Common side]
ABCCDA, by ASA criteria.

In fig (iv), ABE and DCE
It is given that, AB=DC,A=D and AE=DE
ABEDCE, by SAS criteria.

Correct answer is option C.

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