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


1

200

April 9, 2019

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


1

89

April 9, 2019

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


1

224

April 9, 2019

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


1

198

April 9, 2019

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


1

354

April 9, 2019

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


1

105

April 9, 2019

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


1

122

April 9, 2019

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


1

217

April 9, 2019

Show that both the quadrilaterals ABCD and DCPR are trapeziums


1

139

April 9, 2019

Diagonals AC and BD of a quadrilateral ABCD intersect at 0


1

120

April 9, 2019

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


1

129

April 9, 2019

ABCD is a trapezium with AB  DC


1

96

April 9, 2019

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


1

283

April 9, 2019

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


1

132

April 9, 2019

Prove that ar (AOD) = ar (BOC)


1

108

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

133

April 9, 2019

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


1

285

April 9, 2019

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


1

335

April 9, 2019

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


1

265

April 9, 2019

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


1

175

April 9, 2019

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


1

247

April 9, 2019

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


1

90

April 9, 2019

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


1

207

April 9, 2019

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


1

406

April 9, 2019

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


1

119

April 9, 2019

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


1

522

April 9, 2019

Show that ar (APB) = ar(BQC)


1

97

April 9, 2019

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


1

113

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

118

April 9, 2019

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


1

282

April 9, 2019
