Quadrilaterals Quiz
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Questions and Answers

What is true about the sum of the interior angles of any quadrilateral?

  • It equals 360°. (correct)
  • It varies depending on the type of quadrilateral.
  • It equals 180°.
  • It equals 270°.

Which of the following characteristics are unique to a kite?

  • All sides are equal.
  • One pair of adjacent sides are equal. (correct)
  • All angles are 90°.
  • Diagonals are equal in length.

Which statement is true for a rhombus?

  • Opposite sides are unequal.
  • All angles are equal to 90°.
  • Diagonals are perpendicular bisectors of each other. (correct)
  • It has only one pair of parallel sides.

Which characteristic does a rectangle share with a parallelogram?

<p>Diagonals bisect each other. (B)</p> Signup and view all the answers

Which of these quadrilaterals has only one pair of parallel sides?

<p>Trapezium (D)</p> Signup and view all the answers

What feature distinguishes a square from other types of quadrilaterals?

<p>All sides are equal and all angles are equal to 90°. (B)</p> Signup and view all the answers

Flashcards

What is a quadrilateral?

A quadrilateral is a polygon with 4 sides. The sum of all interior angles of a quadrilateral is always 360 degrees.

What are the key properties of a square?

A square has all sides equal, all angles equal to 90 degrees, diagonals are equal and perpendicular bisectors of each other.

What are the key properties of a rectangle?

A rectangle has opposite sides equal, all angles equal to 90 degrees, and diagonals are equal and bisect each other.

What are the key properties of a rhombus?

A rhombus has all sides equal, opposite angles equal, adjacent angles supplementary, and diagonals are perpendicular bisectors of each other.

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What are the key properties of a trapezium?

A trapezium has one pair of opposite sides parallel and the sum of adjacent angles on non-parallel sides of the trapezium is 180 degrees.

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What are the key properties of a parallelogram?

A parallelogram has opposite sides equal and parallel, opposite angles equal, adjacent angles supplementary, and diagonals bisect each other.

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Study Notes

Quadrilaterals

  • A polygon with 4 sides is called a quadrilateral.
  • The sum of all interior angles of a quadrilateral is 360°.

Types of Quadrilaterals

1. Square

  • All sides are equal.
  • All angles are 90°.
  • Diagonals are equal.
  • Diagonals are perpendicular bisectors of each other.

2. Rectangle

  • Opposite sides are equal.
  • All angles are 90°.
  • Diagonals are of equal length.
  • Diagonals bisect each other.

3. Rhombus

  • All sides are equal.
  • Opposite angles are equal.
  • Adjacent angles are supplementary.
  • Diagonals are perpendicular bisectors of each other.

4. Parallelogram

  • Opposite sides are equal and parallel.
  • Opposite angles are equal.
  • Adjacent angles are supplementary.
  • Diagonals bisect each other.

5. Trapezium

  • One pair of opposite sides is parallel.
  • The sum of adjacent angles on non-parallel sides is 180°.

6. Kite

  • A pair of adjacent sides are equal.
  • One pair of opposite angles is equal.
  • Diagonals are perpendicular to each other.
  • The longer diagonal bisects the shorter diagonal.

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Description

Test your knowledge about quadrilaterals with this quiz! Explore the properties and types of quadrilaterals including squares, rectangles, rhombuses, and more. Challenge yourself and evaluate your understanding of this essential geometry topic.

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