Is the parallelogram below a rectangle?
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Is the parallelogram below a rectangle?
Let's calculate angle B:
The parallelogram in the drawing is indeed a rectangle since a parallelogram with at least one right angle is a rectangle.
Yes
The quadrilateral ABCD is a parallelogram.
\( ∢B=90° \)
Is it a rectangle?
Look at the diagram carefully! The numbers 64 and 26 are positioned near an angle, not along the sides. When numbers are at corners or vertices, they usually represent angle measurements.
In a parallelogram, opposite angles are equal and consecutive angles are supplementary. If one angle is 90°, then all four angles must be 90°, making it a rectangle!
If the angle measurements don't sum to 90°, then it's not a right angle. Without a right angle, the parallelogram cannot be a rectangle - it would just be a regular parallelogram.
No! In a parallelogram, once you confirm one angle is 90°, the properties guarantee all angles are 90°. That's the beauty of parallelogram angle relationships.
It could be a square if all sides are equal lengths, but we can't tell from angle measurements alone. However, we can definitively say it's at least a rectangle because of the right angle.
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