Question

In the adjoining figure, DA=CB and AX = BY. prove that ∆DAY=∆CBX.​

Answer 1

Answer:

SAS

Step-by-step explanation:

DA=CB    (given)

angle  DAX  =  angle CBX      

AX = BY   (given)

∆DAY=∆CBX    (SAS)

Answer 2

$\bigtriangleup DAY\cong\bigtriangleup CBX$

Step-by-step explanation:

given that : DA=CB and AX = BY.

To prove:  $\bigtriangleup DAY\cong\bigtriangleup CBX$

proof:

AX = BY

adding both sides XY

we get

AX+ XY = BY + XY

AY = BX ..(1)

now in triangle DAY and CBX

$\angle DAY = \angle CBX = 90{^\circ}$...(given)

AY = BX (from 1)

DA = CB (Given)

therefore by  SAS congruency rule

$\bigtriangleup DAY\cong\bigtriangleup CBX$

hence proved .

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