Question
- Which quadrilaterals always have 4 right angles.
Parallelogram; rectangle; square; rhombus; trapezoid
Parallelogram; rectangle; square; rhombus; trapezoid
Ask by Hanson West. in the United States
Mar 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Rectangles and squares always have 4 right angles.
Solution
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A rectangle is defined as a quadrilateral with 4 right angles, so by definition, every rectangle has 4 right angles.
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A square is a special type of rectangle where all sides are equal in length. Since it inherits the properties of a rectangle, every square also has 4 right angles.
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A parallelogram does not necessarily have 4 right angles; it only requires that opposite angles are equal.
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A rhombus has all sides equal, but its angles are not necessarily 90° (unless it is a square).
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A trapezoid is defined as a quadrilateral with at least one pair of parallel sides, and it does not require 4 right angles.
Thus, the quadrilaterals that always have 4 right angles are the rectangle and the square.
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Simplify this solution Bonus Knowledge
Among the quadrilaterals listed, rectangles and squares always have four right angles! A rectangle has opposite sides that are equal in length and maintains all right angles, while a square is a special type of rectangle where not only are the angles right, but all sides are also equal in length. So, if you want to turn that frown upside down into a right angle, just think rectangles and squares!
In practical terms, these shapes pop up everywhere in architecture and design. For instance, when you’re building a room or designing a piece of furniture, rectangles and squares make floor plans and layouts easier to visualize and implement. Plus, they fit together neatly without any gaps, making them the go-to shapes for tiling, wallpapers, and even modern art! So next time you see a beautifully designed space, give a nod to these reliable quadrilaterals!
