Questions and Answers
A quadrilateral is _________________ a parallelogram.
sometimes
A quadrilateral is _________________ a rectangle.
sometimes
A rectangle is _________________ a square.
sometimes
A square is _________________ a rectangle.
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A trapezoid is _________________ isosceles.
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An isosceles trapezoid is _________________ a trapezoid.
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A quadrilateral is _________________ a rhombus.
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A rhombus is _________________ a square.
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A square is _________________ a rhombus.
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A trapezoid is _________________ a rectangle.
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An isosceles trapezoid is _________________ a parallelogram.
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A trapezoid is _________________ a quadrilateral.
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A rhombus is _________________ a quadrilateral.
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A rhombus is _________________ a parallelogram.
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A rectangle is _________________ a parallelogram.
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A parallelogram is _________________ a rhombus.
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The interior angles of a quadrilateral add up to _________________ degrees.
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Opposite sides of a rhombus are _________________ congruent.
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The only regular quadrilateral (congruent sides and angles) is a _________________.
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Opposite sides of a square are _________________ congruent.
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Consecutive sides of a rectangle are _________________ congruent.
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Opposite sides of a rectangle are _________________ congruent.
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Opposite sides of a parallelogram are _________________ congruent.
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Opposite sides of a quadrilateral are _________________ congruent.
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A quadrilateral with at least one pair of opposite sides parallel is a _________________.
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A quadrilateral with two pairs of opposite sides parallel is a _________________.
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A quadrilateral with four congruent sides is a _________________.
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A quadrilateral with four congruent sides and four congruent angles is a _________________.
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A quadrilateral with four congruent angles is a _________________.
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A trapezoid with exactly one pair of congruent legs is an _________________ trapezoid.
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The parallel sides of a trapezoid are called the _________________.
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The nonparallel sides of a trapezoid are called the _________________.
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Two angles are _________________ if the sum of their measures is 180 degrees.
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Consecutive interior angles of a square are _________________ supplementary.
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Diagonals of a square are _________________ congruent.
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Diagonals of a rhombus _________________ bisect each other.
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Diagonals of a rhombus are _________________ congruent.
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Diagonals of a rectangle are _________________ congruent.
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Diagonals of a trapezoid are _________________ congruent.
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Diagonals of an isosceles trapezoid are _________________ congruent.
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Diagonals of a parallelogram are _________________ congruent.
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Diagonals of rectangle _________________ bisect each other.
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Study Notes
Properties of Quadrilaterals
- A quadrilateral can sometimes be a parallelogram.
- A quadrilateral can sometimes be a rectangle.
- A rectangle can sometimes be a square.
- A square is always a rectangle.
- A trapezoid can sometimes be isosceles.
- An isosceles trapezoid is always a trapezoid.
- A quadrilateral can sometimes be a rhombus.
- A rhombus can sometimes be a square.
- A square is always a rhombus.
- A trapezoid can sometimes be a rectangle due to having at least one pair of parallel sides.
- An isosceles trapezoid is never a parallelogram.
- A trapezoid is always a quadrilateral.
- A rhombus is always a quadrilateral.
- A rhombus is always a parallelogram.
- A rectangle is always a parallelogram.
- A parallelogram can sometimes be a rhombus.
- The interior angles of a quadrilateral add up to 360 degrees.
Congruence and Properties
- Opposite sides of a rhombus are always congruent.
- The only regular quadrilateral, with congruent sides and angles, is a square.
- Opposite sides of a square are always congruent.
- Consecutive sides of a rectangle can sometimes be congruent.
- Opposite sides of a rectangle are always congruent.
- Opposite sides of a parallelogram are always congruent.
- Opposite sides of a quadrilateral can sometimes be congruent.
Types of Quadrilaterals
- A quadrilateral with at least one pair of opposite sides parallel is a trapezoid.
- A quadrilateral with two pairs of opposite sides parallel is a parallelogram.
- A quadrilateral with four congruent sides is a rhombus.
- A quadrilateral with four congruent sides and angles is a square.
- A quadrilateral with four congruent angles is a rectangle.
- A trapezoid with exactly one pair of congruent legs is an isosceles trapezoid.
Trapezoid Properties
- The parallel sides of a trapezoid are called the bases.
- The non-parallel sides of a trapezoid are called the legs.
- Two angles are supplementary if their measures sum to 180 degrees.
- Consecutive interior angles of a square are always supplementary.
Diagonal Properties
- Diagonals of a square are always congruent.
- Diagonals of a rhombus always bisect each other.
- Diagonals of a rhombus are sometimes congruent, specifically if it is a square.
- Diagonals of a rectangle are always congruent.
- Diagonals of a trapezoid are sometimes congruent if it is an isosceles trapezoid.
- Diagonals of an isosceles trapezoid are always congruent.
- Diagonals of a parallelogram are sometimes congruent, depending on whether it is a rectangle or square.
- Diagonals of a rectangle always bisect each other.
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Description
Test your knowledge on the properties and relationships of various quadrilaterals, including parallelograms, rectangles, squares, and trapezoids. This quiz will challenge your understanding of congruence and the special characteristics that define these shapes. Perfect for geometry enthusiasts and students alike!
