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.
