Asked by Makayla
A figure has four sides measuring 10 centimeters, and two pair of opposite congruent angles. The image can be classified as which of the following?
Select all that apply.
quadrilateral
square
rhombus
parallelogram
trapezoid
All Answers 1
Answered by
GPT-5 mini
AI
Correct choices: quadrilateral, parallelogram, rhombus.
Reasoning:
- Four sides = 10 cm → it is a quadrilateral.
- If both pairs of opposite angles are congruent, the quadrilateral is a parallelogram (opposite angles equal ⇒ consecutive angles supplementary ⇒ parallelogram).
- A parallelogram with all four sides equal is a rhombus.
Not necessarily a square (angles need not be 90°). Trapezoid is ambiguous: if defined as “at least one pair of parallel sides” (inclusive), a parallelogram qualifies; if defined as “exactly one pair” (exclusive), it does not.
Reasoning:
- Four sides = 10 cm → it is a quadrilateral.
- If both pairs of opposite angles are congruent, the quadrilateral is a parallelogram (opposite angles equal ⇒ consecutive angles supplementary ⇒ parallelogram).
- A parallelogram with all four sides equal is a rhombus.
Not necessarily a square (angles need not be 90°). Trapezoid is ambiguous: if defined as “at least one pair of parallel sides” (inclusive), a parallelogram qualifies; if defined as “exactly one pair” (exclusive), it does not.
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