# Mid Point Theorem Free Doubts and Solutions

### CBSE - IX - Mathematics - Quadrilaterals

## Solve question no. 39

**vikasg13.hardware**29th December 2017, 12:04 PM

### CBSE - IX - Mathematics - Quadrilaterals

## Please solve question no.5 with proper explanation

**adityaahuja099**10th November 2017, 3:56 PM

### CBSE - IX - Mathematics - Quadrilaterals

## Can you please help me in making a model related to any geometry topics in mathematics?

**garimella.priyanka**8th November 2017, 7:21 PM

### CBSE - IX - Mathematics - Quadrilaterals

## Plez explain the mid-point theorem

**Jitendra**28th September 2017, 11:47 AM

### CBSE - IX - Mathematics - Quadrilaterals

## Show that the line joining the mid-points of the opposite sides of a quardilateral bisect each other.

**Jitendra**26th September 2017, 4:42 PM

### CBSE - IX - Mathematics - Quadrilaterals

## ABCD is a rhombus and R.Q.R and S are the mid-points of the sides of AB,BC,CA and DA respectively. Show that the quardilateral PQRS is a rectangle.

**Jitendra**26th September 2017, 4:40 PM

### CBSE - IX - Mathematics - Quadrilaterals

## State the mid point Theorem.

**Topperlearning User**11th August 2017, 12:01 PM

### CBSE - IX - Mathematics - Quadrilaterals

## Prove that the line drawn through the mid point of one side of a triangle, parallel to another side, intersects the third side at its mid point.

**Topperlearning User**11th August 2017, 12:00 PM

### CBSE - IX - Mathematics - Quadrilaterals

## In PQR, A, B and C are the mid points of QR, RP and PQ respectively. If the lengths of sides PQ, QR and RP are 7 cm, 8 cm and 9 cm respectively, find the perimeter of ABC.

**Topperlearning User**11th August 2017, 12:00 PM

### CBSE - IX - Mathematics - Quadrilaterals

## M, N and P are the mid points of AB, AC and BC respectively. If MN = 3 cm, NP = 3.5 cm and MP = 2.5 cm. Calculate BC, AB and AC.

**Topperlearning User**11th August 2017, 11:59 AM

### CBSE - IX - Mathematics - Quadrilaterals

## Prove that the triangles formed by joining in pairs, the mid points of the three sides of a triangle are congruent to each other.

**Topperlearning User**11th August 2017, 11:59 AM

### CBSE - IX - Mathematics - Quadrilaterals

## M is the mid point of side PQ of a parallelogram PQRS. A line through Q parallel to PS meets SR at N and PS produced at L. Prove that (i) PL = 2QR (ii) QL = 2QN.

**Topperlearning User**11th August 2017, 11:58 AM

### CBSE - IX - Mathematics - Quadrilaterals

## AD is the median and DE AB. Prove that BE is the median.

**Topperlearning User**11th August 2017, 11:56 AM

### CBSE - IX - Mathematics - Quadrilaterals

## In the figure, E is the mid-point of side AD of a trapezium ABCD with AB CD. A line through E parallel to AB meets BC in F. Show that F is the mid point of BC.

**Topperlearning User**11th August 2017, 11:56 AM

### CBSE - IX - Mathematics - Quadrilaterals

## ABCD is a parallelogram in which P, Q, R and S are the mid points of the sides AB, BC, CD and DA respectively. AC is a diagonal, show that PQRS is a parallelogram.

**Topperlearning User**11th August 2017, 11:55 AM

### CBSE - IX - Mathematics - Quadrilaterals

## LMNO is a rectangle with QPR = 35o. Determine SQR.

**Topperlearning User**11th August 2017, 11:54 AM

### CBSE - IX - Mathematics - Quadrilaterals

## Prove that the triangle formed by joining the mid points of the sides of an isosceles triangle is an isosceles triangle.

**Topperlearning User**11th August 2017, 11:52 AM

### CBSE - IX - Mathematics - Quadrilaterals

## ABCD isa square. E,F,G,H are the midpoints of AB,BC,CD,DA respectively. Such that AE=CG=DH. Prove that EFGH is a square?

**md775016**27th May 2017, 11:17 AM

### CBSE - IX - Mathematics - Quadrilaterals

## Prove that the straight line joining the mid - points of the diagonals of a trapezium is parallel to the parallel sides and is equal to half their difference.

**dimplesharma0810**26th February 2016, 6:30 PM

### CBSE - IX - Mathematics - Quadrilaterals

## State and prove converse of mid-point theorem.

**Rishank**12th February 2016, 10:31 PM

### CBSE - IX - Mathematics - Quadrilaterals

## any 8 best applications of mid point teorem in everyday life?

**sanjeev.mami**22nd December 2015, 6:58 AM

### CBSE - IX - Mathematics - Quadrilaterals

##
The diagonals of a quadrilateral ABCD are perpendiculars . Show that quadrilateral formed by joining the midpoints of its sides is a rectangle

The diagonals of a quadrilateral ABCD are perpendiculars . Show that quadrilateral formed by joining the midpoints of its sides is a rectangle

**Paresh**11th December 2015, 3:00 PM

### CBSE - IX - Mathematics - Quadrilaterals

##
ABCD is a parallelogram. E and F are the midpoints of AB and CD respectively. GM is any line intersecting AD, EF and BC at G, P and H respectively. Prove that GP = PH

ABCD is a parallelogram. E and F are the midpoints of AB and CD respectively. GM is any line intersecting AD, EF and BC at G, P and H respectively. Prove that GP = PH

**Paresh**11th December 2015, 2:56 PM

### CBSE - IX - Mathematics - Quadrilaterals

##
In a triangle ABC, with side AB = AC. D, E and F be the midpoints of sides BC, CA and AB respectively. Show that the line segment AD is perpendicular to the line segment EF and is bisected by it

In a triangle ABC, with side AB = AC. D, E and F be the midpoints of sides BC, CA and AB respectively. Show that the line segment AD is perpendicular to the line segment EF and is bisected by it

**Paresh**11th December 2015, 2:52 PM

### CBSE - IX - Mathematics - Quadrilaterals

##
Points A and B are on the same sides of a line l. AD and BE are perpendiculars to l, meeting l at D and E respectively. C is the midpoint of AB. Prove that CD = DE

Points A and B are on the same sides of a line l. AD and BE are perpendiculars to l, meeting l at D and E respectively. C is the midpoint of AB. Prove that CD = DE

**Paresh**11th December 2015, 2:45 PM

### CBSE - IX - Mathematics - Quadrilaterals

##
L and M are the midpoints of the diagonals BD and AC respectively of the quadrilateral ABCD. Through D, draw DE equal and parallel to AB. Show that EC is parallel to LM and is double of it

L and M are the midpoints of the diagonals BD and AC respectively of the quadrilateral ABCD. Through D, draw DE equal and parallel to AB. Show that EC is parallel to LM and is double of it

**Paresh**10th December 2015, 10:19 AM

### CBSE - IX - Mathematics - Quadrilaterals

## The side AC of a triangle ABC is produced to E such that CE = 1/2 AC. If D is midpoint of BC and ED produced meets AB in F, and CP, DQ are drawn parallel to BA. Prove that FD = 1/3 EF

**Paresh**8th December 2015, 4:26 PM

### CBSE - IX - Mathematics - Quadrilaterals

## ABCD is square. E is midpoint of BC. F is a point on side CD. join E and F. AR bisect the side R. Then prove that the F is mid point of side BC.

**education.bps**19th October 2015, 1:42 PM

### CBSE - IX - Mathematics - Quadrilaterals

## abcd is a quadrilateral in which p,q,r and s are mid point of the sides AB,BC,CD and DA.AC IS diagonal.
show that
1.sr=half of AC

**Sibasish**10th October 2015, 10:20 PM

### CBSE - IX - Mathematics - Quadrilaterals

11 In a figure ABCD is a square. If ANGLE PQR = 90 Degrees and PB = QC = DR. Prove that QB = RC, PQ = QR, Angle QPR = 45 Degrees

11 In a figure ABCD is a square. If ANGLE PQR = 90 Degrees and PB = QC = DR. Prove that QB = RC, PQ = QR, Angle QPR = 45 Degrees

**avantikadandapani**17th November 2014, 6:40 PM

### CBSE - IX - Mathematics - Quadrilaterals

ABCD Is a square and on side DC an equilateral triangle is constructed. Prove that AE =BE AND Angle DAE = 15 degrees

ABCD Is a square and on side DC an equilateral triangle is constructed. Prove that AE =BE AND Angle DAE = 15 degrees

**avantikadandapani**17th November 2014, 6:17 PM

### CBSE - IX - Mathematics - Quadrilaterals

##
*E IS THE MID POINT OF SIDE AD OF TRAPEZIUM ABCD WITH AB PARALLEL TO DC.A LINE THROUGH E PARALLEL TO AB MEETS BC IN F .SHOW F IS THE MID POINT OF BC. *

*E IS THE MID POINT OF SIDE AD OF TRAPEZIUM ABCD WITH AB PARALLEL TO DC.A LINE THROUGH E PARALLEL TO AB MEETS BC IN F .SHOW F IS THE MID POINT OF BC. *

**M.s.srinidhi21**6th October 2014, 7:17 AM

### CBSE - IX - Mathematics - Quadrilaterals

In equilateral triangle KLM, P, Q and R are the mid-points of KL, LM and MK. Prove that PQR is an equilateral triangle.

**Topperlearning User**28th July 2014, 1:39 PM

### CBSE - IX - Mathematics - Quadrilaterals

## In fig., ABCD is a trapezium in which AB||DC. E is the mid point of AD and F is a point on BC such that EF||DC. Prove that F is the mid point of BC.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## In the figure of PQR, PS and RT are medians and SM||RT. Prove that QM = PQ.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## Show that the quadrilateral formed by joining the mid-points of the sides of a rhombus taken in order, form a rectangle.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## If there are three or more parallel lines and the intercepts made by them on one transversal are equal, then the corresponding intercepts by any other transversal are also equal.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## In a parallelogram ABCD, E and F are mid points of sides AB and CD. Show that line segment AF and CE trisect the diagonal BD.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## ABCD is trapezium in which AB||DC. E is the mid-point AD. If F is a point on side BC such that segment EF is parallel to side DC, Show that EF = (AB + CD)

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## In the figure, AD is the median and DE||AB, Prove that BE is also a median.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## In ABC, AB = 5 cm, BC = 8 cm and AC = 7 cm. If D and E are respectively mid-points of AB and AC respectively, determine the length of DE. Given reasons.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## ABCD is a quadrilateral in which P, Q, R and S are mid points of AB, BC, CD and DA respectively. Show that PQRS is a parallelogram.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## Show that the quadrilateral formed by joining the mid-points of the sides of a rectangle is a rhombus.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## D and E are the mid-point of sides AB and AC respectively of triangle ABC. If the perimeter of ABC = 35 cm, find the perimeter of ADE.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## In triangle ABD, D, E and F are mid-points of sides AB, BC and CA respectively. Show that ABC is divided into four congruent triangles by joining D, E and F.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## 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 AC.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## ABCD is a parallelogram. X and Y are mid-points of BC and CD respectively. Prove that ar (AXY) = ar (||gm ABCD)

**Topperlearning User**10th December 2013, 3:14 AM

### CBSE - IX - Mathematics - Quadrilaterals

## ABC is a triangle right angled at C. A line through mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that (i) D is mid-point of AC (ii) MD AC (iii) CM = MA = AB

**Topperlearning User**10th December 2013, 1:48 AM