Home
Class 9
MATHS
ABCD is a rhombus and P,Q,R and S are th...

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

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 7.2|7 Videos
  • PROBABILITY

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 15.1|11 Videos
  • STATISTICS

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 14.4|6 Videos

Similar Questions

Explore conceptually related problems

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

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.

If P and Q are the middle points of the sides BC and CD of the parallelogram ABCD, then AP+AQ is equal to

ABCD is a quadrilateral in which P, Q, R and S are mid- points of the sides AB, BC, CD and DA. AC is a diagonal. Show that : PQRS is a parallelogram.

ABCD is a quadrilateral in which P,Q,R and S are mid points of the sides AB,BC,CD and DA. AC is a diagonal Show that: SR||AC and SR=1/2 AC PQ=SR PQRS is a parallelogram

ABCD is a quadrilateral in which P, Q, R and S are mid- points of the sides AB, BC, CD and DA. AC is a diagonal. Show that : PQ=SR

ABCD is a quadrilateral in which P, Q, R and S are mid- points of the sides AB, BC, CD and DA. AC is a diagonal. Show that : SRabsAC and SR=1/2AC

In the adjacent figure ABCD is a parallelogram P and Q are the midpoints of sides AB and DC respectively. Show that PBCQ is also a parallelogram.

ABCD is quadrilateral E, F, G and H are the midpoints of AB, BC, CD and DA respectively. Prove that EFGH is a parallelogram.