Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.
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Similar Practice Problems
- Question 1 - Select One
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if
APQRS is a rectangleBPQRS is parallelogramCdiagonals of PQRS are perpendicularDdiagonals of PQRS are equal - Question 1 - Select One
The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rhombus, if
AABCD is a parallelogramBABCD is a rectangleCdiagonals of ABCD are equalDdiagonals of ABCD are perpendicular to each other - Question 1 - Select One
The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rectangle, if
AABCD is a parallelogramBABCD is a rectangleCdiagonals of ABCD are equalDdiagonals of ABCD are perpendicular to each other
Similar Questions
The diagonals of a quadrilateral ABCD are perpendicular. Show that the quadrilateral, formed by joining the mid-points of its sides, is a rectangle.
View SolutionShow that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.
View SolutionShow that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.
View SolutionShow that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.
View SolutionProve that the quadrilateral formed by joining the mid-points of the pairs of consecutive sides of a quadrilateral is a parallelogram.
View SolutionShow that the quadrialteral formed by joining the mid-points of the consecutive sides of a rhombus, is a rectangle.
View SolutionThe diagonals of a quadrilateral ABCD are mutually perpendicular . Prove that the quadrilateral formed by joining the mid-points of its consecutive sides is a reactangle.
View Solution