Question
12. Which shape could be sorted into a group of quadrilaterals or a group of parallelograms? (A) Hexagon (B) Triangle (C) Rhombus (D) Trapezoid
Ask by Ray Kelly. in the United States
Mar 11,2025
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Answer
The rhombus is a quadrilateral and a parallelogram. So, the answer is (C) Rhombus.
Solution
1. A quadrilateral is any four-sided polygon, while a parallelogram is a special type of quadrilateral in which both pairs of opposite sides are parallel.
2. Option (A), a hexagon, has six sides, so it is not a quadrilateral.
3. Option (B), a triangle, has three sides, so it is not a quadrilateral.
4. Option (C), a rhombus, is a quadrilateral where all four sides have equal length and opposite sides are parallel, making it a type of parallelogram.
5. Option (D), a trapezoid, is a quadrilateral with at least one pair of parallel sides; however, it is not necessarily a parallelogram because the other pair of sides might not be parallel.
Thus, the shape that fits into both groups (quadrilaterals and parallelograms) is the rhombus.
The answer is \( \boxed{C} \).
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The shape that could be sorted into both a group of quadrilaterals and a group of parallelograms is (C) Rhombus. A rhombus is a special type of parallelogram where all sides are of equal length, and since all parallelograms are quadrilaterals, it fits into both categories perfectly! Fun fact: The rhombus isn't just a pretty shape with equal sides; it has some fascinating symmetry! If you draw a line through its corners, you'll find that it has two diagonals that bisect each other at right angles, creating a spectacular balance that mathematicians adore.
