Parallelogram Theorem 5:Proving a quadrilateral is a square
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.
01:35 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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