Questions and Answers
All rectangles are squares.
False
Every 4-sided polygon is a quadrilateral.
True
Every square is also a rectangle.
True
All rhombi are squares.
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Every parallelogram is a rectangle.
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All rectangles are quadrilaterals.
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A trapezoid has only one pair of parallel sides.
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A quadrilateral that has two pairs of opposite sides parallel is a parallelogram.
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A rhombus must have 4 congruent sides.
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A rectangle must have 4 right angles and 4 congruent sides.
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The base and height of a parallelogram form a right angle.
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A square and a rectangle both have 4 congruent angles.
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A trapezoid has two bases that are parallel to each other.
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A rhombus must have 4 congruent sides and 4 congruent angles.
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A closed figure that has 4 sides is a pentagon.
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Study Notes
Quadrilateral True or False Facts
- Not all rectangles are squares; only those that meet specific criteria are classified as squares.
- Every four-sided polygon qualifies as a quadrilateral, irrespective of its angles or side lengths.
- All squares are considered rectangles since they adhere to the rectangle's definitions (four right angles).
- Not all rhombi are squares; squares have additional properties that rhombi may not possess.
- Parallelograms do not necessarily have to be rectangles; they can have non-right angles.
- Every rectangle falls under the category of quadrilaterals as it has four sides.
- A trapezoid, defined as having one pair of parallel sides, is distinct from other quadrilaterals.
- A quadrilateral with two pairs of opposite sides that are parallel is identified as a parallelogram.
- A rhombus must always have four sides of equal length (congruent sides).
- Rectangles are defined by having four right angles but do not require congruent sides.
- In a parallelogram, the base and height are perpendicular, establishing a right angle.
- Both squares and rectangles possess four congruent angles (all right angles).
- A trapezoid features two bases that run parallel to one another, defining its structure.
- A rhombus does not require four congruent angles, unlike squares that do.
- Any figure with four sides is classified as a quadrilateral, not a pentagon, which has five sides.
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Description
Test your understanding of quadrilaterals with this true or false quiz! Explore key properties and definitions that differentiate various types of quadrilaterals such as squares, rectangles, trapezoids, and rhombuses. Challenge your knowledge and see how well you grasp this fundamental geometry topic.
