Home
Class 10
MATHS
A (- 1, - 1), B (- 1, 4), C (5, 4) and D...

A (- 1, - 1), B (- 1, 4), C (5, 4) and D (5, - 1). P, Q, R and S are the mid points of AB, BC, CD and DA respectively. Is the quadrilateral PQRS a square ? a rectangle ? or a rhombus ? Justify your answer

Text Solution

Verified by Experts

The correct Answer is:
PQRS is a rhombus
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    NAND LAL PUBLICATION|Exercise Exercise 7.3|7 Videos

  • CONSTRUCTION

    NAND LAL PUBLICATION|Exercise Exercise 11.2|6 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAND LAL PUBLICATION|Exercise Exercise 8.4|18 Videos

Similar Questions

Explore conceptually related problems

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

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 the mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

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

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

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

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

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