Which terms describe this shape? Choose all that apply.
Understand the Problem
The question asks us to identify which terms describe the given quadrilateral. We need to consider the properties of the shape, such as the angles and side lengths, to determine if it fits the definition of a rhombus, parallelogram, square, or rectangle.
Answer
Parallelogram, rectangle
Answer for screen readers
Parallelogram, rectangle
Steps to Solve
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Check for right angles The shape has angles marked as right angles. This means it could be a rectangle or a square.
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Check for parallel sides The shape appears to have two pairs of parallel sides, making it a parallelogram.
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Check for equal side lengths Since the shape has right angles but does not appear to have all sides of equal length, it is a rectangle but not a square.
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Determining if it's a rhombus A rhombus is a parallelogram with all four sides equal in length. Since the given figure is a rectangle (which means it is a parallelogram with four right angles) it can only be a rhombus if all four sides are of equal length. Since there is nothing to suggest that all four sides are of equal length, we can conclude it is not a rhombus.
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Conclusion Based on the analysis, the shape is both a parallelogram and a rectangle.
Parallelogram, rectangle
More Information
A square is a special type of rectangle where all four sides are equal in length. A rhombus is a parallelogram with all four sides equal in length.
Tips
A common mistake is to assume that if a shape has one right angle, it must be a square. It's important to check if all sides are equal before classifying it as a square. Also, some students might not realize that a square is also a rectangle, a parallelogram, and a quadrilateral.
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