ABCD is a rhombus and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.
ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see Figure). AC is a diagonal. Show that :
ABCD is a trapezium in which and AD=BC (see figure). Show that
In and , AB = DE, , BC = EF and . Vertices A, B and C are joined to vertices D, E and F respectively (See figure). Show that
ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD (see Figure). Show that: