Question

in the given figure AC bisects BD at a right angle. prove that AB=AD and BC=DC for class 7
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Answer 1

Answer:

it is a quadrilateral ABCD.

where AC bisects BD at right angle. then AC and BD are diagonals of the quadrilater.

so here if we take the point O where AC and BD bisects each other.

then here, angle AOB is equal to angle DOC.if they equal the sides opposite to these angles also equal.i.e, AB and DC and also as AD=BC.

as the angles are all 90° so the sides are all equal to each other. so here AB=BC,BC=CD,CD=AD and AD=AB.