Quadrilaterals | Properties of Parallelogram | Parallelogram Theorems Proof
A quadrilateral has four sides, four angles and four vertices.
In this chapter, we will study more about different types of quadrilaterals, their properties and especially those of parallelograms.
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
This Video is also refers as CBSE Class 9 mathts NCERT Solutions Chapter 8 Quadrilaterals
Q2-00:02 Q3-04:46 Q4-10:43 Q5-20:10
00:02 CBSE class 9 maths NCERT Solutions chapter 10 Quadrilaterals q2. If the diagonals of a parallelogram are equal, then show that it is a rectangle.
01:54 Apply SSS congruency Rule
03:13 Apply properties of parallel lines.
04:46 CBSE class 9 maths NCERT Solutions chapter 10 Quadrilaterals q3. Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.
07:21 Apply SAS congruency rule
08:45 Use SAS congruency rule
10:19 Apply Properties of Parallelogram
10:43 CBSE class 9 maths NCERT Solutions chapter 10 Quadrilaterals q4. Show that the diagonals of a square are equal and bisect each other at right angles.
13:17 Use SAS congruency rule
14:21 Use of rule Vertically opposite angles are equal.
14:55 Use parallel lines property:Alternate interior angles are equal
17:15 Apply CPCT
20:10 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.
21:40 Consider two triangles and find similarity between triangles.
24:59 Aplly property of Rhombus
26:08 Use property of Rhombus:The diagonals of a rhombus bisect each other at right angles (90°)
28:39 Apply parallel lines theorem:The sum of co-interior angles is 180
29:50 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
NCERT solutions for class 9 maths Quadrilaterals
NCERT solutions for CBSE class 9 maths Quadrilaterals
CBSE Class 9 maths solutions Quadrilaterals
properties of parallelograms
parallelogram properties geometry
Determining if a Quadrilateral is a Parallelogram
parallel lines and triangle congruence theorems
Parallelogram Theorems Proof using Properties of Parallelogram
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