Mid point theorem | Triangle Intercept Theorem | Applications

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

In this video, we have 6 solutions .All these solutions are based on geomentry properties of triangles and intended to use Mid point theorem and its converse.Students can learn to solve problems on Mid point theorem and converse of Mid point theorem. Q1-00:02 Q2-04:22 Q3-12:12 Q5-16:30 Q6-21:33 Q7-25:45

00:02 CBSE class 9 maths NCERT Solutions chapter 8 Quadrilaterals q1 ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see Fig 8.29). AC is a diagonal. Show that :

(i) SR || AC and SR = 1/2AC (ii) PQ = SR (iii) PQRS is a parallelogram.

01:33 Proof

02:02 Application of Mid point theorem.Mid point theorem states that the line segment joining the mid-points of two sides of a triangle is parallel to the third side.

04:05 Apply property of parallelogram: Opposite sides are equal & Opposite angels are equal

04:22 CBSE class 9 maths NCERT Solutions chapter 8 Quadrilaterals q2 ABCD is a rhombus and P, Q, R and S are ©wthe mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.

06:04 Proof

06:37 cosidrer similarity of triangles.

09:21 Apply Mid point theorem.Mid point theorem states that the line segment joining the mid-points of two sides of a triangle is parallel to the third side.

12:12 CBSE class 9 maths NCERT Solutions chapter 8 Quadrilaterals q3 ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

12:55 Proof

13:22 Concider two triangles and apply mid point theorem.Mid point theorem states that the line segment joining the mid-points of two sides of a triangle is parallel to the third side.

14:33 Use property of parallelgram : Opposite angels are equal & Opposite sides are equal.

16:30 CBSE class 9 maths NCERT Solutions chapter 8 Quadrilaterals q5 In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively (see Fig. 8.31). Show that the line segments AF and EC trisect the diagonal BD.

17:51 APPLY property of parallelgram : Opposite angels are equal & Opposite sides are equal.

18:48 Here we learn how to collect relevant imformation to apply converce of Mid point theorem .Converce of Mid point theorem states that the line drawn through the mid-point of one side of a triangle, parallel to another side bisects the third side

19:58 Apply converce of Mid point theorem

21:33 CBSE class 9 maths NCERT Solutions chapter 8 Quadrilaterals q6 Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.

22:45 Aim of solving problem

23:40 Analyse triangle to pull relevant imformation and apply converce of Mid point theorem.Converce of Mid point theorem states that the line drawn through the mid-point of one side of a triangle, parallel to another side bisects the third side

24:45 Use Mid point theorem

25:22 From property of Parallelogram : Opposite angels are equal & Opposite sides are equal.

25:45 CBSE class 9 maths NCERT Solutions chapter 8 Quadrilaterals q7 ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that

(i) D is the mid-point of AC (ii) MD Perpendicular to AC (iii) CM = MA = 1/2AB

27:42 Aim of solving problem

27:55 Learn procedure to extract imformation which helps to use appropriate theorem

29:21 Use parallines theorem and apply property of co interior angles

Follow us on Google Plus:

https://plus.google.com/+phanicbse

Like us on Facebook:

https://www.facebook.com/ncertsolutionsbooks

Follow us on twitter

https://www.twitter.com/gyanpub

learncbse.in

CBSE solutions for class 9 maths Quadrilaterals

CBSE class 9 maths chapter 8 Quadrilaterals

solve converse of mid point theorem problems

midpointtheoremclass9

information about mid point theorem

converse mid point theorem examples

mid point theorem proof

Triangle Intercept theorem

Basic Proportionality Theorem

Tagged under: GyanPub,ncert solutions,Free Online Maths Class,Maths,Free ncert solutions,Basic Proportionality Theorem,information mid point theorem,converse mid point theorem examples,mid point theorem proof,Triangle Intercept theorem,CBSE solutions class 9 maths Quadrilaterals

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

Quickfire

Carry out a quickfire formative assessment to see what the whole class is thinking

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

Turn any public video into a live chat with questions and quizzes

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Dr Ayla Göl
@iladylayla

A good tool for supporting active #learning.

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!