4.5

Quadrilaterals

9 flashcards to master Quadrilaterals

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Definition Flip

What is the defining property that distinguishes a parallelogram from other quadrilaterals?

Answer Flip

A parallelogram is a quadrilateral with both pairs of opposite sides parallel. This parallelism is the defining characteristic.

Definition Flip

A quadrilateral has two pairs of equal length sides that are adjacent to each other. Name the quadrilateral.

Answer Flip

The quadrilateral is a kite. Kites have two pairs of adjacent sides that are equal in length and diagonals that intersect at right angles.

Key Concept Flip

A square has rotational symmetry of order ___ and ___ lines of symmetry.

Answer Flip

A square has rotational symmetry of order 4 (90°, 180°, 270°, 360°) and 4 lines of symmetry (through opposite sides and corners).

Key Concept Flip

State one property that a rhombus possesses that a parallelogram does not necessarily have.

Answer Flip

A rhombus has all four sides of equal length. A parallelogram only requires opposite sides to be of equal length.

Definition Flip

A quadrilateral has exactly one pair of parallel sides. What is the name of this quadrilateral?

Answer Flip

This quadrilateral is a trapezium (or trapezoid). Only one pair of sides needs to be parallel for it to be classified as a trapezium.

Key Concept Flip

The diagonals of a quadrilateral bisect each other at right angles. Identify two possible quadrilaterals it could be.

Answer Flip

The quadrilateral could be a rhombus or a square. Both of these quadrilaterals have diagonals that bisect each other at right angles.

Key Concept Flip

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

Answer Flip

The sum of the interior angles of any quadrilateral is 360 degrees. This holds true regardless of the specific type of quadrilateral.

Key Concept Flip

A rectangle has diagonals of length 10cm. What can you say about the length of each diagonal segment from the point of intersection of diagonals to each corner.

Answer Flip

The diagonals of a rectangle are equal in length and bisect each other. Therefore, each diagonal segment is 5cm long.

Key Concept Flip

Is it possible for a square to also be a rhombus? Explain.

Answer Flip

Yes, a square is a special type of rhombus. A rhombus must have four equal sides, which a square also possesses. A square simply adds the requirement of four right angles.

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Key Questions: Quadrilaterals

What is the defining property that distinguishes a parallelogram from other quadrilaterals?

A parallelogram is a quadrilateral with both pairs of opposite sides parallel. This parallelism is the defining characteristic.

A quadrilateral has two pairs of equal length sides that are adjacent to each other. Name the quadrilateral.

The quadrilateral is a kite. Kites have two pairs of adjacent sides that are equal in length and diagonals that intersect at right angles.

A quadrilateral has exactly one pair of parallel sides. What is the name of this quadrilateral?

This quadrilateral is a trapezium (or trapezoid). Only one pair of sides needs to be parallel for it to be classified as a trapezium.

About Quadrilaterals (4.5)

These 9 flashcards cover everything you need to know about Quadrilaterals for your Cambridge IGCSE Mathematics (0580) exam. Each card is designed based on the official syllabus requirements.

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