ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB


1

536

April 9, 2019

P and Q are respectively the midpoints of sides AB and BC of a triangle ABC


1

498

April 9, 2019

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P


1

1061

April 9, 2019

ABC and BDE are two equilateral triangles such that D is the midpoint of BC


1

1074

April 9, 2019

ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ


1

930

April 9, 2019

In figure, ABCD, DCFE and ABFE are parallelograms. Show that ar(ADE) = ax(BCF)


1

401

April 9, 2019

Show that ar(ABD) = ar(ADE) = ar(AEC)


1

479

April 9, 2019

Show that the perimeter of the parallelogram is greater than that of the rectangle


1

858

April 9, 2019

Show that both the quadrilaterals ABCD and DCPR are trapeziums


1

568

April 9, 2019

Diagonals AC and BD of a quadrilateral ABCD intersect at 0


1

914

April 9, 2019

In figure, AP  BQ  CR. Prove that ar(AQC) = ax(PBR)


1

466

April 9, 2019

ABCD is a trapezium with AB  DC


1

429

April 9, 2019

A villager Itwaari has a plot of land of the shape of a quadrilateral


1

907

April 9, 2019

ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F


1

437

April 9, 2019

Prove that ar (AOD) = ar (BOC)


1

436

April 9, 2019

XY is a line parallel to side BC of a ∆ ABC. If BE AC and CF  AB meet XY at E and F


1

607

April 9, 2019

D and E are points on sides AB and AC respectively of ∆ ABC


1

1158

April 9, 2019

Diagonals AC and BD of quadrilateral ABCD intersect at 0 such that OB = OD


1

1029

April 9, 2019

D,E and F are respectively the midpoints of the sides BC, CA and AB of a ∆ABC


1

581

April 9, 2019

In figure, ABC and ABD are two triangles on the same base AB


1

960

April 9, 2019

Show that the diagonals of a parallelogram divide it into four triangles of equal area


1

1166

April 9, 2019

Show that ax (BED) = \frac { 1 }{ 4 } ar (ABC)


1

498

April 9, 2019

In figure, E is any point on median AD of a ∆ABC. Show that ar (ABE) = ar (ACE)


1

846

April 9, 2019

A farmer was having a field in the form of a parallelogram PQRS


1

1275

April 9, 2019

In figure, PQRS and ABRS are parallelograms and X is any point on side BR


1

391

April 9, 2019

In figure, P is a point in the interior of a parallelogram ABCD


1

1541

April 9, 2019

Show that ar (APB) = ar(BQC)


1

581

April 9, 2019

Show that ar (EFGH) = \frac { 1 }{ 2 } ar (ABCD)


1

576

April 9, 2019

ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD


1

468

April 9, 2019

Which of the following figures lie on the same base and between the same parallels


1

1308

April 9, 2019
