Two polygons are similar if their corresponding angles are equal.

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

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

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

If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

Draw Delta ABC with BC = 6 cm, AB = 5 cm and angle B = 60^(@). Then, construct a triangle similar to A ABC whose sides are 3/4 of the corresponding sides of Delta ABC.

Draw a Delta ABC with AB= 6 cm, BC = 5 cm and angle B = 45 ^(@). Then construct a triangle similar to Delta ABC whose sides are 3/4 of the corresponding sides of Delta ABC.

Draw a Delta ABC with AB = 6 cm, BC = 4 cm and angle B = 45 ^(@). Then construct a triangle similar to Delta ABC whose sides are 3/4 of the corresponding sides of Delta ABC.