Ishita Katyal

Asked: November 3, 2020In: Class 9

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD) = ar (BOC). Prove that ABCD is a trapezium.

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:164 Questions No:15

Ishita Katyal

Asked: November 3, 2020In: Class 9

If E,F,G and H are respectively the mid-points of the sides of a parallelogram ABCD, show that ar (EFGH) = 1/2 ar (ABCD).

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangless NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.2 Page No:150 Questions No:2

Ishita Katyal

Asked: November 3, 2020In: Class 9

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD. Show that ar (APB) = ar (BQC).

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.2 Page No:159 Questions No:3

Ishita Katyal

Asked: November 3, 2020In: Class 9

A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the fields is divided? What are the shapes of these parts? The farmer wants to sow wheat and pulses in equal portions of the field separately. How should she do it?

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.2 Page No:160 Questions No:6

Ishita Katyal

Asked: November 3, 2020In: Class 9

In a triangle ABC, E is the mid-point of median AD. Show that ar (BED) = 1/4 ar (ABC).

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:162 Questions No:2

Ishita Katyal

Asked: November 3, 2020In: Class 9

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

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:162 Questions No:3

Ishita Katyal

Asked: November 3, 2020In: Class 9

D and E are points on sides AB and AC respectively of Δ ABC such that ar (DBC) = ar (EBC). Prove that DE || BC.

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:163 Questions No:7

Ishita Katyal

Asked: November 3, 2020In: Class 9

XY is a line parallel to side BC of a triangle ABC. If BE || AC and CF || AB meet XY at E and F respectively, show that ar (ABE) = ar (ACF)

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:163 Questions No:8

Ishita Katyal

Asked: November 3, 2020In: Class 9

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:163 Questions No:10

Ishita Katyal

Asked: November 3, 2020In: Class 9

A villager Itwaari has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of his plot from one of the corners to construct a Health Centre. Itwaari agrees to the above proposal with the condition that he should be given equal amount of land in lieu of his land adjoining his plot so as to form a triangular plot. Explain how this proposal will be implemented.

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:164 Questions No:12

Ishita Katyal

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD) = ar (BOC). Prove that ABCD is a trapezium.

If E,F,G and H are respectively the mid-points of the sides of a parallelogram ABCD, show that ar (EFGH) = 1/2 ar (ABCD).

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD. Show that ar (APB) = ar (BQC).

In a triangle ABC, E is the mid-point of median AD. Show that ar (BED) = 1/4 ar (ABC).

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

D and E are points on sides AB and AC respectively of Δ ABC such that ar (DBC) = ar (EBC). Prove that DE || BC.

XY is a line parallel to side BC of a triangle ABC. If BE || AC and CF || AB meet XY at E and F respectively, show that ar (ABE) = ar (ACF)

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

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