Video: Identifying Quadrilaterals

What kind of quadrilateral is the shape shown here? [A] Square only [B] Rhombus and square [C] Rectangle and square [D] Parallelogram and square [E] Parallelogram, rectangle, rhombus, and square.

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Video Transcript

What kind of quadrilateral is the shape shown here? a) Square only, b) rhombus and square, c) rectangle and square, d) parallelogram and square, or e) parallelogram, rectangle, rhombus, and square.

Let’s see what we know about this figure. We notice that it has two sets of parallel sides. And that makes it a parallelogram. And we’ll just go ahead and eliminate all the options that don’t include parallelogram because this is a parallelogram. It has two sets of parallel sides.

We notice that all the sides are equal. And that makes it a rhombus because all four sides are equal. And all four angles are right angles. It’s also a square. And every square is a rectangle.

That means this shape is a parallelogram, rectangle, rhombus, and square. And though we would usually call a shape like this a square, all four of these descriptions are accurate.

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