MEDIUM
9th Manipur Board
IMPORTANT
Earn 100

If the diagonals of a quadrilateral bisect each other at right angles, show that it is a rhombus.

Important Questions on Quadrilaterals

MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.1>Q 8
Show that the diagonals of a square are equal and bisect each other at right angles.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.1>Q 9
If the diagonals of a quadrilateral are equal and bisect each other at right angles, show that it is a square.
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9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.1>Q 10
If diagonal AC of a parallelogram ABCD bisects ∠A, show that ABCD is a rhombus.
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9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.1>Q 11
ABCD is a rhombus. Show that the diagonal AC bisects ∠A as well as ∠C and the diagonal BD bisects ∠B as well as ∠D.
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9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.1>Q 12
ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that ABCD is a square.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.1>Q 12
ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that diagonal BD bisects ∠B and ∠D.
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9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.1>Q 13
ABCD is a parallelogram. P and Q are points on AB and DC respectively such that AP=CQ. Prove that PQ and BD bisect each other.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.1>Q 14
ABCD is a parallelogram. The side AB is produced to E such that AB=BE. Prove that ED bisects BC.