Question

AD = BC AND
AD || BC .
IS AB = DC ? .
GIVE REASON TO SUPPORT YOUR ANSWER .
HINT : PROVE THAT triangle ABC ~= TO TRIANGLE CDA​

Answer 1

Answer:

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since ad is equals to BC and A D is also parallel to BC now we know that if a pair of opposite sides of any quadrilateral is equal and parallel so the given quadrilateral is a parallelogram

hence ABCD is a parallelogram and using the property that opposite sides of parallelogram are equal we can say that a b is equals to CD

I hope that it was helpful to you.............I tried my best.

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Answer 2

Step-by-step explanation:

In triangle ABC and CDA

AD=BC(given)

AC=AC(common)

angles DCA and ACBare equal because ABand CDare parallel lines so these angles are Alternate interior angle

by using SAS congruence condition

triangle ABC=CDA

Hence proved