Parallelogram Theorem 5:Proving a quadrilateral is a square

http://www.learncbse.in/ncert-solutions-for-class-9-maths/

In this video we will learn how a quadrilateral is a square, provided diagonals of a quadrilateral are equal and bisect each other.

In this video, we learn how to apply Congruency Rule to solve Problems on Qudrilaterals. Use parallel lines concept and triangle congruence theorems to prove/solve problems on properties of parallelograms.

Reference book for the above video is

National Council of Educational Research and Training (NCERT) Book for Class 9 Subject: Maths

00:02 CBSE class 9 maths NCERT Solutions chapter 10 Quadrilaterals Q5. Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.

01:09 consider two triangles and find similarity between triangles.

01:28 Proof

01:35 Consider two triangles and test them for similarity

05:40 Use property of Rhombus:The diagonals of a rhombus bisect each other at right angles (90°)

08:29 Apply parallel lines theorem:The sum of co-interior angles is 180

09:42 Aplly properties of Square

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CBSE solutions for class 9 maths Quadrilaterals

CBSE class 9 maths chapter 10 Quadrilaterals

CBSE class 9 maths NCERT Solutions chapter 10 Quadrilaterals

Solutions for CBSE Class 9 Maths Chapter 10

characteristics of a parallelogram

Proving a parallelogram is a rectangle.

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