Podcast
Questions and Answers
All rectangles are squares.
All rectangles are squares.
False (B)
Every 4-sided polygon is a quadrilateral.
Every 4-sided polygon is a quadrilateral.
True (A)
Every square is also a rectangle.
Every square is also a rectangle.
True (A)
All rhombi are squares.
All rhombi are squares.
Every parallelogram is a rectangle.
Every parallelogram is a rectangle.
All rectangles are quadrilaterals.
All rectangles are quadrilaterals.
A trapezoid has only one pair of parallel sides.
A trapezoid has only one pair of parallel sides.
A quadrilateral that has two pairs of opposite sides parallel is a parallelogram.
A quadrilateral that has two pairs of opposite sides parallel is a parallelogram.
A rhombus must have 4 congruent sides.
A rhombus must have 4 congruent sides.
A rectangle must have 4 right angles and 4 congruent sides.
A rectangle must have 4 right angles and 4 congruent sides.
The base and height of a parallelogram form a right angle.
The base and height of a parallelogram form a right angle.
A square and a rectangle both have 4 congruent angles.
A square and a rectangle both have 4 congruent angles.
A trapezoid has two bases that are parallel to each other.
A trapezoid has two bases that are parallel to each other.
A rhombus must have 4 congruent sides and 4 congruent angles.
A rhombus must have 4 congruent sides and 4 congruent angles.
A closed figure that has 4 sides is a pentagon.
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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