Identifying Quadrilaterals

Today we will learn about what quadrilaterals are, quadrilateral shapes, types of quadrilateral etc. So let's start.

What are Quadrilaterals?

QUADRILATERALS are 2D shapes that are a type of polygon with 4 sides and 4 angles.
The sum of all interior angles of a quadrilateral is 360 degrees.

(QUAD means four, LATERALS means side)

Quadrilateral

Types of Quadrilaterals

There are SIX basic types of quadrilaterals:

  1. Parallelogram
  2. Rectangle
  3. Rhombus
  4. Square
  5. Trapezoid / Trapezium
  6. Kite
Quadrilateral

What are polygons?

A polygon is a shape with AT LEAST 3 sides with NO curves and NO open sides.

What does parallel mean?

Parallel means that lines go in the same direction and NEVER intersect/meet together.

What is a parallelogram?

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

What is a rectangle?

  • Opposite sides are parallel and equal.
  • All angles are 90º.
  • The diagonals bisect each other.
Quadrilateral

What is a rhombus?

  • All sides are equal and opposite sides are parallel.
  • Opposite angles are equal.
  • The diagonals bisect each other at right angles.
Quadrilateral

What is a square?

  • Opposite sides are parallel and all sides are equal.
  • All angles are 90º.
  • Diagonals bisect each other at right angles.

What is a trapezoid?

A trapezoid is a quadrilateral with EXACTLY ONE PAIR of parallel sides. Sides do NOT have to be equal in length.

Isosceles trapezoid: A trapezoid in which the nonparallel sides (the legs) are congruent.

FUN FACT: Trapezoid defination are different for different people. Some people say that a trapezoid has AT LEAST ONE PAIR of parallel sides instead of EXACTLY ONE PAIR of parallel sides.

What is a kite?

  • Two pairs of adjacent sides are equal.
  • One pair of opposite angles is equal.
  • Diagonals intersect at right angles.
  • The longest diagonal bisects the shortest diagonal into two equal parts.

Quadrilateral Practice Questions With Answers

Q.1 Which figure must contain four right angles and four sides of equal length?

a) Quadrilateral, b) Rectangle, c) Rhombus, d) Square

Q.2 How many pairs of parallel sides are there in a parallelogram?

a) 1, b) 2, c) 3, d) 4

Q.3 Which quadrilateral does not have two sets of parallel sides?

a) square, b) rhombus, c) trapezoid, d) parallelogram

Q.4 Which of the following is a parallelogram that must have 4 equal angles?

a) rectangle, b) rhombus, c) trapezoid, d) kite

Q.5 Which figure always has 4 congruent sides and exactly 2 sets of parallel sides?

a) rectangle, b) rhombus, c) trapezoid, d) parallelogram

Q.6 Which of the following always have 90-degree angles?

a) rectangle and square, b) rhombus and square, c) square and trapezoid, d) square and parallelogram

Q.7 A quadrilateral with 1 pair of parallel sides and 1 pair of side that are not parallel?

a) rectangle, b) rhombus, c) square, d) trapezoid

Answer: 1 – d, 2 – b, 3 – c, 4 – a, 5 – b, 6 – a, 7 – d 

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