Video: Identifying the Properties of Parallelograms

Can a parallelogram be a rectangle?

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Video Transcript

Can a parallelogram be a rectangle?

So here, we have a few different parallelograms drawn. A parallelogram is defined as a quadrilateral with both pairs of opposite sides parallel. And we can see this property in the parallelogram that we’ve drawn. We’re asked in the question, can we draw a parallelogram which is a rectangle. A rectangle is defined as a quadrilateral, where all interior angles are 90 degrees. So, let’s take our parallelogram and have a look at it.

If we imagine this as a box which is tilted over and we then push the top of the box, keeping opposite sides parallel until we have a perfectly complete book shape with 90-degree angles. In this case, we would still have a parallelogram, since we still have both pairs of opposite sides parallel. And we would also have created a rectangle since all the interior angles are 90 degrees. So, the answer to the question, can a parallelogram be a rectangle? is yes, when the interior angles are 90 degrees.

Indeed, if we created a Venn diagram of parallelograms, then there would be a section within this for rectangles, since all rectangles are parallelograms. And therefore, the parallelograms that fit inside the rectangle section are those which have 90-degree interior angles.

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