Question

prove that the diagonal of asquare are equal and perpendicular to each other​

Answer 1

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(draw a square ABCD with diaagonals AC and BD)

Given:ABCD is a square

To prove:AC=BD and AC and BD bisect each other at right. angles

Proof:In triangle ACB and triangle BAD

AB=AB (common side)

angle ABC=angle BAD(=90degree)

BC=AD(opposite sides of a square)

Triangle ACB congruent BAD(SAS criteria)

AC=BD by(CPCT)

in triangle OAD and OBC

angle OAB=OCB(AC transversal)

AD=CB(opposite sides of square)

angle ODA=OBC(BD transversal)

OA=OC........

Answer 2

Answer:

by this process we get the answer