Question

if abcd is a parallelogram whose diagonals bisect at o which among the following doesn't hold
ao=oc
angle a = angle c
angle bac = angle acd
angle aod = angle boc = 90 degree​

Answer 1

Step-by-step explanation:

I thought angle bac = angle acd

Answer 2

Answer

Angle aod = angle boc = 90 degrees

Explanation

• In a parallelogram there are four sides in which opposite sides are parallel to each other and the angle made by the two adjacent sides are not equal to 90 degree.
• Since the diagonals are bisecting each other, therefore the angles made opposite to half of the diagonal are also equal.
• Hence, ao = oc is true from the given condition.
• Also the angle a will be equal to angle c, since the angles opposite to the two equal slides are also equal.
• Angle bac = angle acd, same as the previous.
• Since the adjacent sides are not equal, therefore it is not possible that the two diagonals when intersecting make an angle of 90 degrees.
• Therefore, angle aod = angle boc = 90 degrees, is not correct.

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