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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 ≅
(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
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
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.
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