-4 cm- then the length of the diagonal AC isA- 6 cmB- 12 cmC- 8 cmD- 16 cm

The correct option is C 8 cm We know that the diagonals of a parallelogram bisect each other. nbsp; So, diagonal BD bisects the diagonal AC. nbsp; (Also, ...

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Standard VIII

Mathematics

Deducing Properties of Parallelogram

=4 cm, then t...

Question

In the following figure, if AO = 4 cm, then the length of the diagonal AC is _____.

6 cm

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8 cm

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12 cm

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16 cm

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Solution

The correct option is B
8 cm

We know that the diagonals of a parallelogram bisect each other.

So, diagonal BD bisects the diagonal AC. (Also, diagonal AC bisects the diagonal BD)

Therefore AO = OC.

Given AO = 4 cm

Hence, OC = 4 cm

Now, AC = AO + OC = 4 cm + 4 cm = 8 cm.

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In the following figure, if AO = 4 cm, then the length of the diagonal AC is _____.

The correct option is B 8 cm We know that the diagonals of a parallelogram bisect each other. So, diagonal BD bisects the diagonal AC. (Also, diagonal AC bisects the diagonal BD) Therefore AO = OC. Given AO = 4 cm Hence, OC = 4 cm Now, AC = AO + OC = 4 cm + 4 cm = 8 cm.

The correct option is B
8 cm

We know that the diagonals of a parallelogram bisect each other.

So, diagonal BD bisects the diagonal AC. (Also, diagonal AC bisects the diagonal BD)

Therefore AO = OC.

Given AO = 4 cm

Hence, OC = 4 cm

Now, AC = AO + OC = 4 cm + 4 cm = 8 cm.