Explain the converse of midpoint theorem.

if greatest angle of a parallelogram in 30 degree more than twice the smallest angle then find the greatest angle of the parallelogram

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.

how to verify mid point theroum using paper cutting and pasting activity?

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

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

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.

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

The exterior angle of a regular polygon is one-third of it's interior angle. The number of sides of a polygon is

a)9  b)8  c)10  d)12

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

Each interior angle of a regular polygon is 144 degrees. Find the interior angle of a regular polygon which has double the number of sides as the first polygon.

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

 is there any congruency rule - AAA(ANGLE ANGLE ANGLE)????

prove that diagnals of a rectangle are of equal length

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.

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

ABCD is a quadrilatral whose diagonals intersect at right angles . Show that the quadrilateral formed by joining the midpoints of the pairs of adjacent sides in a rectangle.

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

in paragraph writing can we ask questions?

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

BD is one of the diagonal of a quad.ABCD .AM and CN are the perpendiculars from A and C respectively.on BD. show that ar (quad.ABCD )=1/2 BD (AM +CN)

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.

in a paralellogram ABCDif angle A=(2x=5) and angleB=(3x=10) find the value of x

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

Please help me with this question! :O

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.

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.

M and N divide the side of AB of triangle ABC into 3 equal parts. Line segments MP and NQ are both parallel to BC and meets at AC at P and Q respectively. Prove P and Q divide AC into 3 equal parts.

 What is the difference between Rhombus and Kite?

 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!!!!!!!!!!!!!

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

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

The convex pentagon ABCDE has a right angle at B, AB = BC and CD = DE = EA = 1 cm, AC = 2cm. If AC and ED are parallel find the area of the pentagon

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

(i) ∠A = ∠B

(ii) ∠C = ∠D

(iii) ΔABC ≅ ΔBAD

(iv) AC = BD

Qn.1].If one angle of a parallelogram is 24⁰  less than twice the smallest angle, find all the angles of the parallelogram.

Qn.2.] If PQRS is a parallelogram then find the angles P, Q, R and S.

Qn.3.] The cost of petrol in a city is 50 Rs per litre. Write an equation with x representing the number of litrs and y representing the total cost[in rupees].

Qn 4] In parallelogram ABCD the bisector of  angle A also bisects BC at P. Prove AD=2AB.

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?

PQRST is a pentagon inside a circle with centre O such that PQ=QR=RS and angle PQR=128 . RO and SO are joined find angle PTQ ,PTS, ROS.

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.

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)

What is intercept theorem

pls explain mid point theorem used in the video above

in a quadrilateral ABCD, angle A +angle C is 2 times angle B + angle D. if angle A = 40 degree,then angle B =

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

3. a class teacher gave students coloured papers in the shape of quadrilateral . she asked them to make parallelogram from it usingpaper folding .

a. how can a parallelogram be formed by using paper folding ?

b. prove that it is a parllelegram ?

c. what values are depicted here ?

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

L = Angle

1. ABCD is a IIgm in which LADC = 75 and side AB is produced to E and LC = X and LCBE = Y . Find (X + Y).

2. ABCis a triangle in which L is the Mid point of AB and N is the point on AC such that AN = 2CN . Aline through L parallel to BN meets AC at M. Prove that AM = CN

3. the probability of guessing the correct answer to a certain question is x / 2 . If the probability of not guessing the correct answer is 2/3 . then find the value of X.

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.

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

 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.

Bisctors of two adjacent angles of quadrilateral ABCD intersect at a point O. Prove that

2angleAOB=angle C+angle D.

what is the difference between

rhombus and a square

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

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