Explain
Angle Sum Property of a Quadrilateral
Types of Quadrilaterals
Properties of a Parallelogram
Another Condition for a Quadrilteral to be a Parallelogram
The Mid-point Theorem
Answers
Step-by-step explanation:
The sum of angles of a quadrilateral is 360°. This is the angle sum property of quadrilaterals
Different Types of Quadrilaterals
There are six basic types of quadrilaterals. They are:
Trapezium
Parallelogram
Rectangle
Rhombus
Square
Kite
The properties of a parallelogram are as follows:
The opposite sides are parallel and congruent
The opposite angles are congruent
The consecutive angles are supplementary
If any one of the angles is a right angle, then all the other angles will be at right angle
The two diagonals bisect each other
Each diagonal bisects the parallelogram into two congruent triangles
Sum of square of all the sides of parallelogram is equal to the sum of square of its diagonals. It is also called parallelogram law
If the diagonals of a quadrilateral bisect each other, then it’s a parallelogram (converse of a property).
If one pair of opposite sides of a quadrilateral are both parallel and congruent, then it’s a parallelogram (neither the reverse of the definition nor the converse of a property).
MidPoint Theorem Statement
The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”