What Is A Quadrilateral

Question 1

What is a quadrilateral

Answer 1

A quadrilateral is a four-sided, 2-dimensional (flat), closed (the lines join up) polygon. Quadrilateral just means ‘four sides

Question 2

State the three main properties of a quadrilateral

Answer 2

• Four sides;
• Four vertices (corners); and
• The interior angles add up to 360 degrees.

Question 3

what are the properties of a Parallelogram

Answer 3

• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are equal in length.
• Opposite angles are equal.

Question 4

what are the properties of a Rectangle

Answer 4

• A rectangle is a special form of a parallelogram.
• It has all the properties of a parallelogram PLUS the fact that every angle is a right angle (90°).

Question 5

what are the properties of a Square

Answer 5

• A square is a special rectangle. It has all the properties of a rectangle BUT with one additional property: all sides are equal in length.
• Note: A square could also be thought of as a special rhombus, with all interior angles equal to 90°.

Question 6

what are the properties of a Rhombus

Answer 6

• A rhombus is a special form of a parallelogram.
• It has all the properties of a parallelogram PLUS the fact that all sides are equal in length.

Question 7

what are the properties of a Kite

Answer 7

• Two pairs of adjacent sides are equal in length.
• The diagonals are perpendicular.
• The opposite angles at the endpoints of the cross diagonal are equal in size
• The main diagonal bisects the opposite angles.

Question 8

what are the properties of a Trapezium

Answer 8

One pair of parallel sides.

Question 9

what are the properties of an isosceles trapezium

Answer 9

• One pair of parallel sides.
• Base angles equal.
• Leg lengths equal.