Class 9

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

Nitya Singh

Asked: November 3, 2020In: Class 9

Show that the diagonals of a square are equal and bisect each other at right angles.

NCERT Solutions for Class 9 Maths Chapter 8 Important NCERT Questions Quadrilaterals NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 8.1 Page No:146 Questions No: 4

Nitya Singh

Asked: November 3, 2020In: Class 9

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.

NCERT Solutions for Class 9 Maths Chapter 8 Important NCERT Questions Quadrilaterals NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 8.1 Page No:146 Questions No: 5

Nitya Singh

Asked: November 3, 2020In: Class 9

ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that:

NCERT Solutions for Class 9 Maths Chapter 8 Important NCERT Questions Quadrilaterals NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 8.1 Page No:146 Questions No: 8 (i) ABCD is a square (ii) diagonal BD bisects ∠B ...

Nitya Singh

Asked: November 3, 2020In: Class 9

ABCD is a rhombus and P, Q, R and S are ©wthe mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.

NCERT Solutions for Class 9 Maths Chapter 8 Important NCERT Questions Quadrilaterals NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 8.2 Page No:150 Questions No:2

Nitya Singh

Asked: November 3, 2020In: Class 9

ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

NCERT Solutions for Class 9 Maths Chapter 8 Important NCERT Questions Quadrilaterals NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 8.2 Page No:150 Questions No:3

Nitya Singh

Asked: November 3, 2020In: Class 9

Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.

NCERT Solutions for Class 9 Maths Chapter 8 Important NCERT Questions Quadrilaterals NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 8.2 Page No:150 Questions No:6

Nitya Singh

Asked: November 3, 2020In: Class 9

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that

NCERT Solutions for Class 9 Maths Chapter 8 Important NCERT Questions Quadrilaterals NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 8.2 Page No:150 Questions No:7 (i) D is the mid-point of AC (ii) MD⊥ AC (iii) CM ...

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

Category: 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.

Show that the diagonals of a square are equal and bisect each other at right angles.

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.

ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that:

ABCD is a rhombus and P, Q, R and S are ©wthe mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.

ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that

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).

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