3.
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.
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A rectangle is a parallelogram with one angle 90°
Line segment joining the mid-points of two sides of a triangle is parallel to the third side and is half of it.
Side-Side-Side congruence rule: In two triangles, if the three sides of one triangle is equal to the three sides of the triangle, then the two triangles are congruent.
CPCT theorem: If two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.
Sides and opposite angles of rhombus are equal.
Opposite sides of parallelogram are equal and parallel.
proven PQRS is a rectangle
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