Explain the converse of midpoint theorem.

 The area of the parallelogram PQRS is 50 cm². Find the distance between the parallel sides PQ and SR, if the length of the side PQ is 6 cm.

How to prove all the theorems of chp 8 Quadrilaterals

ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). Show that

(i) ∠A = ∠B

(ii) ∠C = ∠D

(iii) ΔABC ≅ ΔBAD

(iv) diagonal AC = diagonal BD

[Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]

Prove that the quadrilateral formed by joining the midpoints of consecutive sides of rectangle is a rhombus and PLEASE PROVE THE VICE-VERSA ALSO.

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.

pls explain.

In ABC, D is the mid-point of

 ABCD is a trapezium with AB parallel to CD.LM is the line joining midpoints of AD and BC respectively.It is given that LM parallel to AB.Prove that LM=1/2(AB+DC)

show that the quadrilateral formed by joining the midpoints of the consecutive side of a square is also a square

give the proof of the mid-point theorum.

Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

 In a triangle ABC, E is the mid point of side AB. AC=12cm & CE=6.5cm. The triangle is right angled at C. Find the area of the triangle.

Explain this question thoroughly and step by step.

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P.Show that ar (APB) x ar (CPD) = ar (APD) x ar (BPC

In a parallelogram show that the angle bisectors of two adjacent angles intersect at right angles

show that the line segment joining the mid point of the opposite sides of a quadrilateral bisect each other

please prove the mid point theorem

4.during maths lab activity each student was given four broom sticks of lenths 8 cm , 8cm, 5cm ,5cm to make different types of quadrilaterals .

a. how many quadrilaterals can be formed using these sticks

b. name the types of quadrilaterals formed

c. while doing this activity which value is depicted

show that the diagonal of a square are equal and bisect each other prependicularly

in a quadrilateral ABCD , AO and BO are the bisectors of angle A and angle B respectively. Prove that angle AOB = 1/2 (angle C+ angle D)

prove that if the diagonals of a parallelogram are equal,then its a rectangle

q1. in the adjoining figure, abcd is a trapezium in which ab//dc..p and q are mid points of ad and bc respectively. dq and ab when produced meet at e.prove that (1)dq=qe (2) ar=rc (3) pr//ab

q2. point m and n divide the side ab of a triangle abc into three equal parts. line segments mp and nq are both parallel to bc and meet ac in p and q respectively.prove that p and q divide ac in three equal parts

q3. if two parralelograms pqad and pqbc are on the opposite sides of pq, prove that abcd is a paralleleogram

q4. if a line is parallel to the base of a trapezium and bisects one of the non parallel sides then prove that it bisects either diagonal of the trapezium

q5. points a and b are on the same sides of the line l. ad is perpendicular to l and be is perpendicular to l in d and e respectively if c is the mid point of ab , prove that cd = ce

prove that diagnals of a rectangle are of equal length

ABCD us a rectangle. Find the values of x and y in each case.

figure is like this

AB is base and angle A is 35 degree

DC is opposite site

AC and BD is diagonal and intersent on O in mid pint and DOC is formed Y degree and BOC is formed X degree

AD and BE are medians of triangle ABC and DF parallel BE.Prove that CF =1fourth AC?

the measure of two adjacent angles of a quadrilateral are 110 degree and 50 degree and other two acute angles are equal. find the measureof each angles

in the given figure, ABCD is a square. if angle PQR=90 and PB=QC=DR, prove that QB=RC, PQ=QR and angle QPR=45

ABCD is a trapezium. Angle D =(2x+10)degree, Angle A=(x+20)degree, angle C=92 degree, find the values of x and angle B

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

 STATE AND  PROVE MIDPOINT THEOREM 

 ABCD is a rectangle in which diagonal AC bisects angle A as well as angle C.show that

i) ABCD is a square

i) Diagonal BD bisects angle B as well as angle D

1. How the angle bisector of a parallelogram form a rectangle?

2. If an angle of parallelogram is two-third of its adjacent angle. find the angles of the parallelogram?

3. Find the measures of all the angles of a parallelogram is one angle is 24 degree less than twice the smallest angle?

4. AB and CD are two parallel lines and a perpendicular angle intersect AB at X and CD at Y. Prove that the bisector of the interior angle form a rectangle?

5. ABCD is a parallelogram and line segment AX bisects the angle A and C respectively, show that AX II CY.

6. Given ABC, lines are drawn through A, B, and C respectively parallel to the side BC, CA and AB forming triangle PQR. Show that BC = 1/2 QR.

7. BM and CN are perpendicular to a line passing through the vertex A of a triangle ABC, if the angle is the midpoint of BC. Prove that angle M = angle N.

 How can we call a parallelogram a trapezium but a trapezium not a parallelogram? Plz answer as quickly as possible........ 

Prove that the opposite angles of an isosceles trapezium are supplementary?

Please help me with this question! :O

Given A rectangle WXYZ in which M is the mid point of WX

Prove that ZMY is isosceles

ABCD is a parallelogram in which P is the midpoint of DC and Q is a point on AC such that CQ=¹/₄AC. If PQ produced meet BC att R, prove that R is the midpoint of BC.

if two parallelograM pqad and pqbc are on the opposite side of pq prove that abcd is a parallelogram

quick

ABCD is a rhombus and AB is produced to E and F such that AE=Ab=BF.Prove that ED and FC are perpendicular to each other.

 What is the difference between Rhombus and Kite?

ABCD is a //gm and line segment AX and CY bisects angles A and C respectively where X is a point on AB. To prove AX // CY

ABCD is a parallelogram and AP and CQ are perpendicular from vertices A and C on the diagonal BD. show that AP=CQ.

AD is the median of the triangle ABC and E is the midpoint AD, BE produced meets AC in F. Prove that AF=1/3 AC?

Please, prove that an isosceles trapezium is a cyclic quadrilateral.

let ABC be an isosceles triangle in which AB = AC. if D, E, F be the mid-points of the sides BC, CA and AB respectively, show that the segment AD and EF bisect each other at right angles.

Each side of a rhombus is 10 cm long and one of its diagonals measures 16 cm. Find the length of the other diagonal and hence find the area of the rhombus

prve that 2/10=2?

ABCD is a trapezium in which AB || CD & AD=BC. Show that

(i) ∠A = ∠B

(ii) ∠C = ∠D

(iii) ΔABC ≅ ΔBAD

(iv) AC = BD

explain midpoint theorem with te solving of example

ABCD is a rhombus.show that diagonal AC bisects angle A as well as angle C and diagonal BD bisects angle B as well as angle D?

sir/maam kindly tell me how to solve this question with proper steps?

if the diagonals of a quadrilateral bisect each other then it is a parallelogram

Points A and B are in the same side of a line l. AD and BD are perpendiculars to l, meeting at D and E. C is the midpoint of AB. Prove that CD = CE.

diagonals ACand BD of quadrilateral ABCD intersect at O such that OB = OD. if AB = CD , then show that :

1.ar(DOC) = ar(AOB).

2.ar(DCB) = ar(ACB)

3.DA ll CB or ABCD is a parallelogram.

ABCD is a rhombus with angle ABC =40. The measure of angle ACD is what?

90, 20, 40 or 70.

E and F are respectively the mid-points of the non-parallel sides AD and BC of a trapezium ABCD.Prove that EF is parallel to AB and EF=1/2(AB+CD)

pls explain mid point theorem used in the video above

abc is an isosceles triangle in which ab=ac.ad bisects exterior angle pac and cd is parallel to ab.show that angle dac=angle bca and show that abcd is a parallelogram

ABCD is a parallelogram in which angle A = 60 degree, if the bisectors of angle A and angle B meet DC at P, prove that (i) angle APB = 90 degree (ii) AD = DP and PB = PC=BC (iii) DC = 2AD

P,Q,R are respectively the mid points of sides BC,CA and AB of atriangle ABC.PR and BQ meet at X..CR and PQ meet at Y.Prove that XY=1/4 BC.

In triangle ABC ,BM and CN are perpendiculars from B and C respectively on any line passing through A. If L is the mid point of BC , prove that ML = NL.

prove that the straight line joining the midpoints of the diagonals of a trapezium is parallel to the parallel sides of the trapezium and is equal to half their difference

the diagonals of a rectangle ABCD meet at O. IF angle BOC = 44, find angle OAD.

 can ny 1 tell me y the videos r not starting....... i m trying 4 about half an hour but the videos r not starting........

plz help me becoz my exam is there..........

HELP!!  HELP!!  HELP!!!!!!!!!!!!!

show that if the diagonals of quadrilateral bisect each other at right angles, then it is a rhombus.

Q.1Triangle ABC is isoceles with AB=AC. D, E and F are midpoints of BC, AC and AB respectively. Show that line segments AD is perpendicular to the line segment EF and is bisected by it?

Q.2 If a diagonal of a parallelogram bisects one of the angles of the parallelogram, it also bisects the second angle and then the two diagonals are perpendicular to each other?

Points A and B are in the same side of a line l. AD and BE are perpendiculars to l, meeting l at D and E respectively. C is the mid point of line segment AB.

Proove that  CD = CE.

what is the difference between

rhombus and a square

Prove cyclic trapezium is isosceles and its diagonals are equal to each other.