Question

Prove that the figure obtained by joining the midpoints of an isosceles trapezium is a rhombus.​

Answer 1

Step-by-step explanation:

By midpoint theorem the opposite sides of the quad. obtained by joining the midpoints will come equal to each other and half of the diagonal in between the opposite sides. Then by congruency the two diagonals will come equal and all the sides will come equal. Hence proved it is a rhombus.