Question

The figure formed by joining the mid-points of adjacent sides of a rhombus is

• A. a square
• B. a rectangle
• C. a trapezium
• D. none of these

Answer 1

The correct option is B a rectangle

In $\Delta ABD$, EH ll BD (Mid-point theorem)

In $\Delta CBD$, FG ll BD (Mid-point theorem)

In $\Delta ACD$, GH ll AC (Mid-point theorem)

In $\Delta ABC$, EF ll AC (Mid-point theorem)

Since AC is perpendicular to BD, therefore adjacent sides of quadrilateral EFGH are perpendicular => Rectangle