Easy Shapes

Geometry Level 2

Is it always true that a trapezium and a parallelogram can be a quadrilateral and, a parallelogram can be a square and a rhombus ?

No Yes

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1 solution

William Huang
Jul 29, 2017

A quadrilateral is a shape with 4 sides and a trapezium is a quadrilateral with a pair of parallel sides . A quadrilateral is a shape with 4 sides and a parallelogram is a quadrilateral with opposite sides parallel and congruent .


A parallelogram is a quadrilateral with opposite sides parallel and congruent and a square is a parallelogram with 4 right angles and 4 congruent sides .

A parallelogram is a quadrilateral with opposite sides parallel and congruent and a rhombus is a parallelogram with 4 congruent sides .


The question is asking if all of the statements are true and we have proved they are so our final answer is T r u e \boxed{True} .

Your question implies something else. When it asks if a quadrilateral is a trapezium or parallelogram, it actually means that you are asking if all quadrilaterals are trapeziums and parallelograms. Please reframe the question as if a trapezium is a quadrilateral and so on.

Shubham Vermani - 3 years, 10 months ago

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Is this better? And thank you for improving the question for me.

William Huang - 3 years, 10 months ago

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yeah, no problem :)

Shubham Vermani - 3 years, 10 months ago

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