Given below are a two pair of statements combine these two statements using "if and only if'.

$p :$ If a convex polygon is pentagon then it has $5$ diagonals.

$q:$ If a convex polygon has $5$ diagonals then it is pentagon.

Write the contrapositive of following statement.

$p:$If two chords bisect each other than they are diameter.

Write the contrapositive of following statement.

$q:$ If two triangles are similar then their corresponding angles are equal.

Write the converse of following statement

$p:$If two circles are congruent then their radius are equal

Write the converse of following statements
$p :$ If two polygons are congruent then they will overlap each other.

By giving a counter example show that following statement is false.

$p:$ If area of two figures are equal then they are congruent.

By giving a counter example show that following statement is not true.

$p:$ The graph of equation $x^3-6x^2+11x-6=0$, will cut axis at only two points.

Explain why following sentence is not statement.

$p:$ Hisar is far from here

Explain why following sentence is not statement.

$q:$Yesterday was Saturday