Look at the diagrams and determine what is common or similar among all of them.

Can you complete these statements based on your observations?

Each polygon has _____________ ______________ and ______________ ____________________. Therefore, they are all a type of polygon known as ________________________.

All the angles of a quadrilateral add up to 360 degrees.

There are different types of quadrilaterals. They are are named according to their properties. These properties include length of sides, if sides are parallel or not and size of angles. The quadrilaterals we will examine include rectangle, square, rhombus, parallelogram, kite and trapezium.

Let's look at them.

Rectangle

A rectangle has ____ pairs of parallel sides that are _________ to each other. All four angles measure ______ degrees. Opposite angles are equal.

AD = BC & DC = AB

AD || BC & DC || AB **|| means parallel to**

<A, < B, < C & < D = 90 degrees

Square

A square has _____ pairs of parallel sides with _______ sides being equal. All four angles measure ______ degrees. Opposite angles are equal.

AD = BC = DC = AB

AD || BC & DC || AB **|| means parallel to**

<A, < B, < C & < D = 90 degrees

Rhombus

A rhombus has _____ pairs of parallel sides with _______ sides being equal. Angles ______ not measure 90 degrees. Opposite angles are equal.

AD = BC = DC = AB

AD || BC & DC || AB **|| means parallel to**

<A = < C & < B = < D

Parallelogram

A parallelogram has ____ pairs of parallel sides that are _________ to each other. Opposite angles are equal. A square, rectangle and rhombus are all parallelograms.

AD || BC & AB || BC

< A = < C & < D = < B

Trapezium

A trapezium has _____ pair of parallel sides. Angles _______ not measure 90 degrees.

AB || DC

Kite

A kite has _____ pair of adjacent sides that are equal and _____ equal angles.

AB = CB & AD = CD

<A = <C

Take the Quadrilateral Quiz.

QUIZ

Practice #1

Practice #2

Practice #3

Lesson 2 - Calculating Missing Angles

All quadrilaterals have 4 sides and 4 angles. For some, like the rectangle and square, all the angles are equal while for others, the size of each angle varies. In any case though, all 4 angles of any quadrilateral will always add up to 360⁰. This video further explains.