Question
In which of the following quadrilaterals, a diagonal is not an angle bisector?
Answer: Option B
:
B
In the case of a rectangle, the diagonal is not an angle bisector.
Consider a rectangleABCD.
Here, ∠ ADB =∠ DBC (Alternate angles)
But,∠ DBC is not equal to∠ BDC (Angles opposite to unequal sides of a triangle are unequal)
∴∠ ADB is not equal to∠ BDC
So, diagonal DB does not bisect∠ D.
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:
B
In the case of a rectangle, the diagonal is not an angle bisector.
Consider a rectangleABCD.
Here, ∠ ADB =∠ DBC (Alternate angles)
But,∠ DBC is not equal to∠ BDC (Angles opposite to unequal sides of a triangle are unequal)
∴∠ ADB is not equal to∠ BDC
So, diagonal DB does not bisect∠ D.
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