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Explain the converse of midpoint theorem.
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 ≅
(iv) diagonal AC = diagonal BD
[Hint: Extend AB
and draw a line through C parallel to DA intersecting AB produced at
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.
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
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
prove that diagnals of a rectangle are of equal length
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.
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.
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.
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?
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
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?
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)
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.
show that if the diagonals of quadrilateral bisect each other at right angles, then it is a rhombus.
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
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.
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