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


2

162

April 9, 2019

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


2

76

April 9, 2019

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


2

194

April 9, 2019

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


2

153

April 9, 2019

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


2

290

April 9, 2019

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


2

90

April 9, 2019

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


2

103

April 9, 2019

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


2

185

April 9, 2019

Show that both the quadrilaterals ABCD and DCPR are trapeziums


2

104

April 9, 2019

Diagonals AC and BD of a quadrilateral ABCD intersect at 0


2

107

April 9, 2019

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


2

115

April 9, 2019

ABCD is a trapezium with AB  DC


2

80

April 9, 2019

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


2

246

April 9, 2019

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


2

117

April 9, 2019

Prove that ar (AOD) = ar (BOC)


2

92

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


2

121

April 9, 2019

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


2

236

April 9, 2019

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


2

288

April 9, 2019

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


2

245

April 9, 2019

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


2

152

April 9, 2019

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


2

216

April 9, 2019

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


2

78

April 9, 2019

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


2

174

April 9, 2019

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


2

354

April 9, 2019

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


2

107

April 9, 2019

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


2

437

April 9, 2019

Show that ar (APB) = ar(BQC)


2

79

April 9, 2019

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


2

97

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


2

108

April 9, 2019

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


2

205

April 9, 2019
