Home
Class 10
MATHS
ABCD is a rectangle formed by the points...

ABCD is a rectangle formed by the points `A(1,\ 1),\ B(1,\ 4),\ C(5,\ 4)\ a n d\ D(5,\ 1)`. P, Q, R and S are the midpoints of AB, BC, CD and DA respectively. Is the quadrilateral PQRS a square? A rectangle? or a rhombus? Justify yo

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • LINES (IN TWO - DIMENSIONS)

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR (EXERCISE - 7.1)|20 Videos

  • LINES (IN TWO - DIMENSIONS)

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR (EXERCISE - 7.2)|12 Videos

  • LINES (IN TWO - DIMENSIONS)

    OSWAL PUBLICATION|Exercise NCERT CORNER (TEXTBOOK QUESTIONS) (EXERCISE - 7.3)|7 Videos

  • INTRODUCTION TO TRIGONOMETRY AND TRIGONOMETRIC IDENTITIES

    OSWAL PUBLICATION|Exercise BOARD CORNER (Long Solution Type Questions)|6 Videos

  • LINES (IN TWO DIMENSIONS)

    OSWAL PUBLICATION|Exercise CASE - BASED MCQs |15 Videos

Similar Questions

Explore conceptually related problems

A B C D is a rectangle formed by joining the points A(-1,\ -1),\ \ B(-1,\ 4),\ \ C(5,\ 4) and D(5,\ -1)dot P ,\ Q ,\ R and S are the mid-points of sides A B ,\ B C ,\ C D and D A respectively. Is the quadrilateral P Q R S a square? a rectangle? or a rhombus? Justify your answer.

ABCD is rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1). If P, Q, R and S be the midpoint of AB, BC, CD and DA respectively, show that PQRS is a rhombus.

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.

Let ABCD be a rectangle. Let P, Q, R, S be the mid-points of sides AB, BC, CD, DA respectively. Then the quadrilateral PQRS is a

If ABCD be a rectangle and P, Q, R, S be the mid-points of AB, BC, CD and DA respectively, then the area of the quadrilateral PQRS is equal to

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.

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

A B C D is a rhombus and P ,\ Q ,\ R ,\ S are the mid-points of A B ,\ B C ,\ C D ,\ D A respectively. Prove that P Q R S is a rectangle.

19.ABCD is a rectangle having length (x1) and breadth (x-1). If P,Q,R and S are the mid- points of sides AB,BC,CD and DA respectively,then the perimeter of quadrilateral PQRS is

If a,b in N , PQRS is a square and P, Q, R, S are mid points of AB, AD, CD, BC respectively then a+b is