Hammond Cummings
02/06/2024 · Primary School
In parallelogram \( A B C D, \angle D \) is a right angle. Is \( A B C D \) a rectangle? A. No B. Yes C. Cannot be determined
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In a parallelogram, if one angle is a right angle, then all angles must be right angles. This is because the opposite angles in a parallelogram are equal, and the consecutive angles are supplementary (they add up to \(180^\circ\)).
Since \(\angle D\) is a right angle (\(90^\circ\)), it follows that:
- \(\angle A = 90^\circ\) (opposite angle)
- \(\angle B = 90^\circ\) (consecutive angle, since \(\angle A + \angle B = 180^\circ\))
- \(\angle C = 90^\circ\) (opposite angle)
Thus, all angles in parallelogram \(ABCD\) are right angles, which means that \(ABCD\) is a rectangle.
Therefore, the answer is:
B. Yes
Quick Answer
B. Yes
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