Two polygons with same number of sides are ........................ if their corresponding angles are equal and corresponding sides are equal.

Fill in the blanks using the correct word given in brackets : Two polygons of the same number of sides are similar, if (a) their corrosponding angles are………and (b) their corresponding sides are…………(equal, proportional)

Two polygons are similar if their corresponding angles are equal.

Write down the converse of following statements: If two triangles are similar then the ratio of their corresponding sides are equal.

Prove that the angles opposite to equal sides of an isosceles triangle are equal.

Find counter examples to disprove the following statements: Two triangles are congruent if all their corresponding angles are equal.

State whether each of the following statements is true or false : If the areas of two sectors of two different circles are equal, the lengths of their corresponding arcs are equal.

Give negation of the followings: There exists a rectangle whose both sides are equal.

A polygon has 65 diagonals, then find the number of its side.

Given below are two pairs of statements. Combine these two statements using if and only if. p:If a rectangle is square, then all its four sides are equal. q: If all the four sides of a rectangle are equal then the rectangle is a square.