In the figure, if the midpoints of the half of the diagonals of a rhombus are joined to form a small quadrilateral then this quadrilateral is a rhombus.

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B False
We Know that if use join midpoints of diagonals of a parallelogram then we again get a parallelogram.
Also, length of diagonals of a rhombus are not equal so diagonals of parallelogram formed will also not be equal.
Given figure is a rhombus so diagonals intersect at $90^{\circ}$ , so if we take any two adjacent triangles of ||gm formed that they will be congruent by (RHS)
Right-Angle - hypotenuse-side property of congruency so all adjacent sides of formed parallelogram have same length. So it is a Answer: Option (B)

Suggest Corrections

Similar questions

The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rhombus, if

(a) ABCD is a parallelogram

(b) ABCD is a rhombus

(d) diagonals of ABCD are perpendicular to each other

The figure formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a square, only if

(a) ABCD is a rhombus

(b) diagonals of ABCD are equal

(d) diagonals of ABCD are equal and perpendicular

The figure formed by joining the midpoints of the adjacent sides of a quadrilateral is a

(a) rhombus

(b) square

(d) parallelogram

Join BYJU'S Learning Program