MEDIUM
9th CBSE
IMPORTANT
Earn 100

Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

Important Questions on Quadrilaterals

EASY
9th CBSE
IMPORTANT
MATHEMATICS>Chapter 8 - Quadrilaterals>NCERT Exercises with Solutions>Q 1
The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral.
EASY
9th CBSE
IMPORTANT
MATHEMATICS>Chapter 8 - Quadrilaterals>NCERT Exercises with Solutions>Q 6
Diagonals AC of a parallelogram ABCD bisects ∠A. Show that it bisects ∠C also.
HARD
9th CBSE
IMPORTANT
MATHEMATICS>Chapter 8 - Quadrilaterals>NCERT Exercises with Solutions>Q 6
Diagonals AC of a parallelogram ABCD bisects ∠A. Show that ABCD is a rhombus.
EASY
9th CBSE
IMPORTANT
MATHEMATICS>Chapter 8 - Quadrilaterals>NCERT Exercises with Solutions>Q 7
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 MD⊥AC.
 
MEDIUM
9th CBSE
IMPORTANT
MATHEMATICS>Chapter 8 - Quadrilaterals>TEST YOURSELF>Q 4
ABCD is a rhombus with ∠ABC=56o. Determine ∠ACD
MEDIUM
9th CBSE
IMPORTANT
MATHEMATICS>Chapter 8 - Quadrilaterals>TEST YOURSELF>Q 5
ABCD is a trapezium in which AB∥DC,BD is a diagonal and E the midpoint of AD. A line is drawn through E parallel to AB intersecting BC at F. Show that F is the midpoint of BC.
MEDIUM
9th CBSE
IMPORTANT
MATHEMATICS>Chapter 8 - Quadrilaterals>TEST YOURSELF>Q 6
Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.
MEDIUM
9th CBSE
IMPORTANT
MATHEMATICS>Chapter 8 - Quadrilaterals>TEST YOURSELF>Q 7
Prove that the line segment joining the mid-point of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.