In the last problem, for what kind of quadrilateral do we get a rectangle by joining the mid-points?

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Solution

By joining the midpoints of the sides of a rhombus, we get a rectangle.

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Similar questions

A quadrilateral is obtained by joining the mid-points of a rectangle. Further, a rectangle is obtained by joining the mid points of quadrilateral obtained above. Again another quadrilateral is obtained by joining the mid points of the second rectangle. This process is repeated for an infinite number of times. Find the ratio of the sum of areas of all the rectangles to the sum of the areas of all the quadrilaterals.

Q. The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if

Q. The quadrilateral formed by joining the mid-points of adjacent sides of a rectangle is a square.

Q. We get a rhombus by joining the mid-points of the sides of a

(a) parallelogram

(b) rhombus

(c) rectangle

(d) triangle

The quadrilateral formed by joining the mid-points of consecutive sides of a rectangle ABCD, taken in order, is a rhombus.

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