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Syllabus

Explain the converse of midpoint theorem.

Q. ABCD is a square of side 2 cm and E,F,G and H are the midpoints of the sides. What is the area of square PQRS in cm

^{2}?How to prove all the theorems of chp 8 Quadrilaterals

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

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 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.

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

pls explain.

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 ABC, D is the mid-point of

AB and P is any point on BC. If CQ || PD meets AB inthen prove that ar (BPQ) =1/2ar (ABC)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

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

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

ABCD is a parallelogram in which P is the midpoint of DC and Q is a point on AC such that CQ=

^{1}/_{4}AC. If PQ produced meet BC att R, prove that R is the midpoint of BC.In a parallelogram show that the angle bisectors of two adjacent angles intersect at right angles

_{}angle COD =78 then find the value of angle OABshow that the line segment joining the mid point of the opposite sides of a quadrilateral bisect each other

proof that if the opposite angles of a quadrilateral are equal then proof that its a parallelogram

please prove the mid point theorem

WHY VIDEOES DOES NOT START?????????????

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)

If angles A,B,C and D of quadrilateral ABCD,taken in order are in the ratio 3:7:6:4,then ABCD is a-

PLEASE HOW THE METHOD BY WHICH YOU GOT YOUR ANSWER

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

wow the lets review part is amazing i think it should be there at the end of every study material

prove that diagnals of a rectangle are of equal length

ABCD is a square with length of each side 1cm. An octagon is formed by lines joining the vertices of the square to the mid points of opposite sides. Find the area of the octagon?

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

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 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.

a) 50 degree b) 90 degree c) 60 degree d) 45 degree

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.

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

90, 20, 40 or 70.

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

Please help me with this question! :O

If the side of a rhombus is 10 cm and one diagonal is 16 cm, then find the area of the rhombus.

in paragraph writing can we ask questions?

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

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?

1)quadrilateral ABED is a parallelogram.

2)quadrilateral BEFC is a parallelogram.

3)AD parallel to CF and AD=CF

4)quadrilateral ACFD is a parallelogram.

5)AC=DF

6)triangle ABC congruent to triangle DEF.

Please check my answer to this question thoroughly.

The answer is attached.

No links plz.

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

PQRS is a square. N and M are midpoints of SR and QR respectively. O is the midpoint of diagonal PR. show that NOMR is a square.

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

urgent

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

(i) ∠A = ∠B

(ii) ∠C = ∠D

(iii) ΔABC ≅ ΔBAD

(iv) AC = BD

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?

in a quadrilateral ABCD, AOand BOare bisectors for angle A and angle B respectively. prove that Angle AOB = 1/2 ( angle C + angleD)

pllz help me out meritnation experts!

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

Prove that :

(i) AECF is a parallelogram

(ii) BEDF is a parallelogram

(iii) PEQF 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.

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 ?

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)

pls explain mid point theorem used in the video above

How much portions did your teacher took???? In maths,social,science and hindi...

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

can any1 explain the second vieo i dint understandABCD is a trapezium in which AB is parallel to CD. Then AC

^{2}+ BD^{2}=a)AD

^{2}+ BC^{2}- 2AB x CD b)AD^{2}+ BC^{2}+ 2AB x CDc)AD

^{2}- BC^{2}+ 2AB x CD d)AD^{2}- BC^{2}- 2AB x CDP,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.

I'm having some difficulty to solve this sum....i'm nt able to form the diagram nor solve d question... please help.....

Prove that the sum of the angls formed in the four segments exterior to a cyclic quadrilateral by the sides is equal to six right angles.

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.

IN A PARELLELOGRAM ABCD AB=10CM AND AD=6CM.THE BISECTOR OF ANGLE A MEETS DC AT E. AE AND BC PRODUCED MEET AT F FIND CF

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

What is intercept theorem

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

To prove the converse of the theorem "opposite sides of a parallelogram are equal in length" cant we just say that a diagonal of a parallelogram divides it into two congruent triangles ?

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

Points

andAare in the same side of a lineB.landADare perpendiculars toBE, meetinglatlandDrespectively.Eis theCmid pointof line segment.AB.Proove that CD = CEPQRS is a isoceles trapezium. angle P = 2x , angle S = 3x & angle Q = y. Then Find the value of x & y.

what is the difference between

rhombus and a square

Ummmm

Suggestion - 2nd video is much wrong as uh shld first prove the mid pt theorum then uh should upload the ex. 2 !

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

ABCD is a parallelogram inw hcih AB is produced to E so taht BE = AB. Prove taht ED bisects BC

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

In a paeallelogram ABCD, E and F are points on AB and CD such that AE = CE. Prove that ED is parallel to BF.