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Mid Point Theorem Free Doubts and Solutions

CBSE - IX - Mathematics - Quadrilaterals

Q. 7

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Asked by Rayeesa 4th June 2018, 9:58 PM
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CBSE - IX - Mathematics - Quadrilaterals

Solve question no. 39

Asked by vikasg13.hardware 29th December 2017, 12:04 PM
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CBSE - IX - Mathematics - Quadrilaterals

Please solve question no.5 with proper explanation 

Asked by adityaahuja099 10th November 2017, 3:56 PM
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CBSE - IX - Mathematics - Quadrilaterals

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

Asked by garimella.priyanka 8th November 2017, 7:21 PM
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CBSE - IX - Mathematics - Quadrilaterals

Plez explain the mid-point theorem

Asked by Jitendra 28th September 2017, 11:47 AM
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CBSE - IX - Mathematics - Quadrilaterals

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

Asked by Jitendra 26th September 2017, 4:42 PM
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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.

Asked by Jitendra 26th September 2017, 4:40 PM
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CBSE - IX - Mathematics - Quadrilaterals

State the mid point Theorem.

Asked by Topperlearning User 11th August 2017, 12:01 PM
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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.

Asked by Topperlearning User 11th August 2017, 12:00 PM
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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. 

Asked by Topperlearning User 11th August 2017, 12:00 PM
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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.

Asked by Topperlearning User 11th August 2017, 11:59 AM
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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.

Asked by Topperlearning User 11th August 2017, 11:59 AM
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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.

Asked by Topperlearning User 11th August 2017, 11:58 AM
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CBSE - IX - Mathematics - Quadrilaterals

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

Asked by Topperlearning User 11th August 2017, 11:56 AM
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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.

Asked by Topperlearning User 11th August 2017, 11:56 AM
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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.

Asked by Topperlearning User 11th August 2017, 11:55 AM
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CBSE - IX - Mathematics - Quadrilaterals

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

Asked by Topperlearning User 11th August 2017, 11:54 AM
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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.

Asked by Topperlearning User 11th August 2017, 11:52 AM
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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?

Asked by md775016 27th May 2017, 11:17 AM
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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.

Asked by dimplesharma0810 26th February 2016, 6:30 PM
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CBSE - IX - Mathematics - Quadrilaterals

State and prove converse of mid-point theorem. 

Asked by Rishank 12th February 2016, 10:31 PM
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CBSE - IX - Mathematics - Quadrilaterals

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

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

Asked by Paresh 11th December 2015, 3:00 PM
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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

Asked by Paresh 11th December 2015, 2:56 PM
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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

Asked by Paresh 11th December 2015, 2:52 PM
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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

Asked by Paresh 11th December 2015, 2:45 PM
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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

Asked by Paresh 10th December 2015, 10:19 AM
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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

Asked by Paresh 8th December 2015, 4:26 PM
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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.

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

Asked by Sibasish 10th October 2015, 10:20 PM
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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

Asked by avantikadandapani 17th November 2014, 6:40 PM
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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

Asked by avantikadandapani 17th November 2014, 6:17 PM
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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. 

Asked by M.s.srinidhi21 6th October 2014, 7:17 AM
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CBSE - IX - Mathematics - Quadrilaterals

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

Asked by Topperlearning User 28th July 2014, 1:39 PM
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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.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

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

Asked by Topperlearning User 4th June 2014, 1:23 PM
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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.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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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.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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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.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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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)

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

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

Asked by Topperlearning User 4th June 2014, 1:23 PM
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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.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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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.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

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

Asked by Topperlearning User 4th June 2014, 1:23 PM
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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.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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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.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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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.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Asked by Topperlearning User 4th June 2014, 1:23 PM
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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)

Asked by Topperlearning User 10th December 2013, 3:14 AM
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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

Asked by Topperlearning User 10th December 2013, 1:48 AM
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