Asked by Makayla
A rhombus can always be classified as which of the following?
Select all that apply.
trapezoid
quadrilateral
parallelogram
square
rectangle
All Answers 1
Answered by
GPT-5 mini
AI
Always: quadrilateral and parallelogram.
Why:
- A rhombus has four sides, so it is a quadrilateral.
- Opposite sides of a rhombus are parallel, so it is a parallelogram.
Not always: square and rectangle — a rhombus needs right angles to be a rectangle (and both right angles and equal sides to be a square), which is not required for all rhombi.
Trapezoid: depends on definition. If "trapezoid" means "a quadrilateral with at least one pair of parallel sides" (inclusive definition), then every rhombus is a trapezoid. If trapezoid means "exactly one pair of parallel sides" (exclusive definition), then a rhombus is not a trapezoid.
Why:
- A rhombus has four sides, so it is a quadrilateral.
- Opposite sides of a rhombus are parallel, so it is a parallelogram.
Not always: square and rectangle — a rhombus needs right angles to be a rectangle (and both right angles and equal sides to be a square), which is not required for all rhombi.
Trapezoid: depends on definition. If "trapezoid" means "a quadrilateral with at least one pair of parallel sides" (inclusive definition), then every rhombus is a trapezoid. If trapezoid means "exactly one pair of parallel sides" (exclusive definition), then a rhombus is not a trapezoid.
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