Question

quadrilateral ABCD is a trapezium.side AB is parallel to side CD. side AD is congruent to side BC. measure angle ACD = 45° l(BD)=12 cm. find the area of the trapezium

Answer 1

There are five types of quadrilaterals.

Parallelogram

Rectangle

Square

Rhombus

Trapezium

One common property of all quadrilaterals is that the sum of all their angles equals 360°.

Let us look into the properties of different quadrilaterals.

Parallelogram



Properties of a parallelogram

Opposite sides are parallel and congruent.

Opposite angles are congruent.

Adjacent angles are supplementary.

Diagonals bisect each other and each diagonal divides the parallelogram into two congruent triangles.

If one of the angles of a parallelogram is a right angle then all other angles are right and it becomes a rectangle