Question

prove triangle ABC is congruent to triangle CDA

Answer 1

in tri. ABC and Tri. CDA...
BC=AD (given)
AB=DC(given)
AC=AC (Common)
triangle ABC Is congruent to triangle CDA(by SSS)
HENCE PROVED

Answer 2

Answer:

∆ABC congruent to ∆CDA

Step-by-step explanation:

Given:

ABCD is a quadrilateral .

BC//AD ,

BA //CD

To prove:

∆ABC is congruent to ∆CDA

Proof:

ABCD is a quadrilateral .

ABCD is a quadrilateral .BC//AD ( Opposite sides are parallel)

BA //CD

(opposite sides are parallel )

Therefore,

ABCD is a parallelogram .

BC = AD

and

BA = CD

/* opposite sides are equal in a parallelogram */

Now,

In ∆ABC and ∆CDA,

BC = DA ( side )

AB = CD ( side )

AC = AC ( common side)

Therefore,

∆ABC congruent to ∆CDA

/* S.S.S Property */

•••♪