Which of the following is not a criterion for congruence of triangles?
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if
Show that the diagonals of a rhombus are perpendicular to each other.
In ∆ ABC, D, E and F are respectively the mid-points of sides AB, BC and CA. Show that ∆ ABC is divided into four congruent triangles by joining D, E and F.
l, m and n are three parallel lines intersected by transversals p and q such that l, m and n cut off equal intercepts AB and BC on p. Show that l, m and n cut off equal intercepts DE and EF on q also.
Diagonal AC of a parallelogram ABCD bisects ∠ A. Show that (i) it bisects ∠ C also, (ii) ABCD is a rhombus.
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