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Which terms describe this shape? Choose all that apply.
rhombus
quadrilateral
square
rectangle

Which terms describe this shape? Choose all that apply.\newlinerhombus\newlinequadrilateral\newlinesquare\newlinerectangle

Full solution

Q. Which terms describe this shape? Choose all that apply.\newlinerhombus\newlinequadrilateral\newlinesquare\newlinerectangle
  1. Understand Definitions: To determine which terms describe the shape, we need to understand the definitions of the terms provided: rhombus, quadrilateral, square, and rectangle.\newlineA rhombus is a four-sided shape where all sides have equal length.\newlineA quadrilateral is any four-sided polygon.\newlineA square is a four-sided shape where all sides are equal in length and all angles are right angles (9090^\circ).\newlineA rectangle is a four-sided shape where opposite sides are equal in length and all angles are right angles.\newlineWithout a visual representation of the shape, we cannot definitively determine which terms apply. However, we can analyze the terms based on their definitions.
  2. Identify Shape Properties: Since every square and rhombus is also a quadrilateral, the term "quadrilateral" will always apply to a shape if it is described as a square or a rhombus.
  3. Square vs. Rectangle: If the shape is a square, it is also a rectangle because a square has all the properties of a rectangle (opposite sides equal, all angles are right angles), plus the additional property of having all sides of equal length.
  4. Rhombus vs. Square: If the shape is a rhombus, it may or may not be a square. A rhombus is a square only if all angles are right angles. If the angles are not right angles, then it is not a square.
  5. Conclusion: Without additional information about the angles of the shape, we cannot determine if the shape is a square or a rectangle. However, we can conclude that the shape is at least a quadrilateral because that term applies to any four-sided polygon.

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