The pairs of opposite sides are parallel to each other. The area formula for the different quadrilaterals are given below: Let us understand in a better way with the help of an example: A quadrilateral is a 4-sided plane figure. (ii) Two sides having no common end point are called opposite sides. From the above activity, measure the lengths of diagonals and angles between the diagonals and record them in the table below: 4. quadrilaterals and their properties, including proofs of the above theorem, can be found in the excellent collection of geometry notes [14]. A square is a rectangle as well as a rhombus. (n -2) × 180, where n is equal to the number of sides of the polygon. Only one pair of opposite angles are of the same measure. If in a quadrilateral,each pair of opposite angles are equal,it is a parallelogram. Parallelogram Theorem #2 Converse: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Thanks to Owen134866 for the starter slide which the rest of the powerpoint is based on! It is a quadrilateral with all the 4 angles of equal measure, that is, each of them is 90°. (Prove)The diagonal divides a parallelogram into two congruent triangles. In this article, we will discuss the special types of quadrilaterals and their basic properties. Required fields are marked *. Your email address will not be published. 90° each). The sum of the interior angles of each polygon is 360-degrees and the sum of exterior angles should be 180-degrees. The following proofs of theorems … In the trapezium, ABCD, side AB is parallel to side CD. 304 Quadrilateral A four sided polygon. This theorem states that” The line segment joining mid-points of two sides of a triangle is parallel to the third side of the triangle and is half of it” Proof of Mid-Point Theorem A triangle ABC in which D is the mid-point of AB and E is the mid-point of AC. (sum of external angles) = 360°. A quadrilateral is a polygon with four vertices, four enclosed sides, and 4 angles. The sum of the interior angles should be equal to 360 degrees. Thanks and thank you so much. Area of the quadrilateral is the total space occupied by the figure. Below are some important properties of quadrilaterals : Example 1: What is the base of a rhombus, if its area is 40 square units and the height is 8 units? Properties of Parallelogram. Thankyou so much by jus. Its diagonals bisect opposite angles. Recall the definition of quadrilaterals. Use a 2-column proof. thank u so much it helped me a lot in my project thank u. I thank a lot to Byju’s for giving so much information,through which I got a lot of help to complete my project. A rectangle is a special type of parallelogram whose angles are right. This is the reason that the area of quadrilateral depends on which type of quadrilateral it is. In this article, we will discuss the special types of quadrilaterals and their basic properties. So Property: The sum of the interior angles is 360 . Given, Thank you so much this helped me in my exam . are special types of quadrilaterals with some of their sides and angles being equal. We can also derive the sum of interior angle from the formula of polygon i.e. 4 vertices and 4 sides enclosing 4 angles. If you know what the quadrilaterals look like, their definitions should make sense and […] – Opposite sides of a rectangle and square are parallel. There are several other special quadrilaterals, such as parallelograms, trapezoids, and kites, but we won't get into the properties specific to each of those types in this lesson. Types Of Quadrilateral Shapes (Motivate) In a parallelogram opposite sides are equal and conversely. This property of cyclic quadrilateral is known as PTOLEMY THEOREM . The opposite sides are parallel and equal in length. Proof: Hence the angle sum of a quadrilateral is 360º. They are: It is a quadrilateral with one pair of opposite parallel sides. 40 = Base × 8 The perimeter of a quadrilateral can be determined by adding the side length of all the four sides. As in the figure given below, E is the point where both the diagonals meet. As with triangles and other polygons, quadrilaterals have special properties and can be classified by characteristics of their angles and sides. 8.2 Angle Sum Pr oper ty of a Quadrilateral CBSE Previous Year Question Papers Class 10, CBSE Previous Year Question Papers Class 12, NCERT Solutions Class 11 Business Studies, NCERT Solutions Class 12 Business Studies, NCERT Solutions Class 12 Accountancy Part 1, NCERT Solutions Class 12 Accountancy Part 2, NCERT Solutions For Class 6 Social Science, NCERT Solutions for Class 7 Social Science, NCERT Solutions for Class 8 Social Science, NCERT Solutions For Class 9 Social Science, NCERT Solutions For Class 9 Maths Chapter 1, NCERT Solutions For Class 9 Maths Chapter 2, NCERT Solutions For Class 9 Maths Chapter 3, NCERT Solutions For Class 9 Maths Chapter 4, NCERT Solutions For Class 9 Maths Chapter 5, NCERT Solutions For Class 9 Maths Chapter 6, NCERT Solutions For Class 9 Maths Chapter 7, NCERT Solutions For Class 9 Maths Chapter 8, NCERT Solutions For Class 9 Maths Chapter 9, NCERT Solutions For Class 9 Maths Chapter 10, NCERT Solutions For Class 9 Maths Chapter 11, NCERT Solutions For Class 9 Maths Chapter 12, NCERT Solutions For Class 9 Maths Chapter 13, NCERT Solutions For Class 9 Maths Chapter 14, NCERT Solutions For Class 9 Maths Chapter 15, NCERT Solutions for Class 9 Science Chapter 1, NCERT Solutions for Class 9 Science Chapter 2, NCERT Solutions for Class 9 Science Chapter 3, NCERT Solutions for Class 9 Science Chapter 4, NCERT Solutions for Class 9 Science Chapter 5, NCERT Solutions for Class 9 Science Chapter 6, NCERT Solutions for Class 9 Science Chapter 7, NCERT Solutions for Class 9 Science Chapter 8, NCERT Solutions for Class 9 Science Chapter 9, NCERT Solutions for Class 9 Science Chapter 10, NCERT Solutions for Class 9 Science Chapter 12, NCERT Solutions for Class 9 Science Chapter 11, NCERT Solutions for Class 9 Science Chapter 13, NCERT Solutions for Class 9 Science Chapter 14, NCERT Solutions for Class 9 Science Chapter 15, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 10 Maths Chapter 1, NCERT Solutions for Class 10 Maths Chapter 2, NCERT Solutions for Class 10 Maths Chapter 3, NCERT Solutions for Class 10 Maths Chapter 4, NCERT Solutions for Class 10 Maths Chapter 5, NCERT Solutions for Class 10 Maths Chapter 6, NCERT Solutions for Class 10 Maths Chapter 7, NCERT Solutions for Class 10 Maths Chapter 8, NCERT Solutions for Class 10 Maths Chapter 9, NCERT Solutions for Class 10 Maths Chapter 10, NCERT Solutions for Class 10 Maths Chapter 11, NCERT Solutions for Class 10 Maths Chapter 12, NCERT Solutions for Class 10 Maths Chapter 13, NCERT Solutions for Class 10 Maths Chapter 14, NCERT Solutions for Class 10 Maths Chapter 15, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, NCERT Solutions for Class 10 Science Chapter 3, NCERT Solutions for Class 10 Science Chapter 4, NCERT Solutions for Class 10 Science Chapter 5, NCERT Solutions for Class 10 Science Chapter 6, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, CBSE Previous Year Question Papers Class 12 Maths, CBSE Previous Year Question Papers Class 10 Maths, ICSE Previous Year Question Papers Class 10, ISC Previous Year Question Papers Class 12 Maths. 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