Give reasons why a square is (a) a rectangle and (b) a rhombus.

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Rectangle as Special Parallelogram, Rhombus as Special Parallelogram, Square as Special Parallelogram | PadhAiPro

Question

TextRectangle as Special ParallelogramRhombus as Special ParallelogramSquare as Special Parallelogram

ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

E and F are points on diagonal AC of a parallelogram ABCD such that AE = CF. Show that BFDE is a parallelogram.

TextSquare as Special ParallelogramDiagonals of Parallelogram Bisect Each Other

Show that each angle of a rectangle is a right angle.

Show that the diagonals of a rhombus are perpendicular to each other.

Two parallel lines l and m are intersected by a transversal p. Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

Show that the bisectors of angles of a parallelogram form a rectangle.