Question

in given figure two parallel lines l and m are intersected by two parallel line p and q
show that TRIANGLE ABC CONGRUENT TRIANGLE CDA​

Answer 1

Answer:

ABC IS EQUAL TO CDA AS B=D(V.O.A) THEN BAC=DCA(ALTERNATE ANGLE IS EQUAL) AND OTHER ANGLES ARE EQUAL BY (C.P.C.T)

Answer 2

In triangles ABC and CDA,

/_ BAC = /_ DCA {Interior }

or, /_ BCA = /_ DAC {Angles }

and, AC = AC { Same sides}

.°. triangles ABC and CDA are congruent by ASA congruence rule.

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