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7 Ricky draws a shiape. The shape has 4 sides. He shape has exactly two right angles. Each side of the shape has a different length. What is Ricky's shape? Square rhombus rectangle quadrilateral

Ask by Ramos Huang. in the United States
Mar 20,2025

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Ricky's shape is a quadrilateral.

Solución

1. The shape has 4 sides, so it is a quadrilateral. 2. A square has 4 right angles and 4 sides of equal length, so it does not meet the condition of having exactly two right angles or different side lengths. 3. A rectangle has 4 right angles and opposite sides equal, which means it has two pairs of equal side lengths. This does not satisfy the requirement that every side has a different length. 4. A rhombus has 4 sides of equal length, and in a typical rhombus not all angles are right angles (unless it is a square, which was already ruled out). Thus, it also does not meet the conditions. 5. The only remaining option is a generic quadrilateral, which can have exactly two right angles and four sides of different lengths. Therefore, Ricky's shape is a \(\textbf{quadrilateral}\).

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Extra Insights

Ricky's shape could be a trapezoid! A trapezoid is a quadrilateral with at least one pair of parallel sides, and it can have different lengths for each side as well as right angles. This fits perfectly since many trapezoids can have two right angles and still maintain the property of being a four-sided figure. It's interesting to note that trapezoids can also be categorized into different types based on their angles and sides. For example, an isosceles trapezoid has non-parallel sides that are equal in length, while a right trapezoid has two right angles. Each type brings its unique properties into play, making geometry a delightful exploration of shapes!

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