Draw a labelled figure showing information in each of the following statements and write the antecedent and the consequent.

i. Two equilateral triangles are similar.

ii. If angles in a linear pair are congruent then each of them is a right angle.

iii. If the altitudes drawn on two sides of a triangle are congruent then those two sides are congruent.

Co-ordinate of point A on a number line is 1. What are the co-ordinates of points on the number line which are at a distance of 7 units from A?

Write the following statements in conditional form.

i. Every rhombus is a square.

ii. Angles in a linear pair are supplementary.

iii. A triangle is a figure formed by three segments.

iv. A number having only two divisors is called a prime number.

Write the converse of each of the following statements.

i. If the sum of measures of angles in a figure is 180°, then the figure is a triangle.

ii. If the sum of measures of two angles is 90° then they are complement of each other.

iii. If the corresponding angles formed by a transversal of two lines are congruent then the two lines are parallel.

iv. If the sum of the digits of a number is divisible by 3 then the number is divisible by 3.

Write the antecedent (given part) and the consequent (part to be proved) in the following statements.

i. If all sides of a triangle are congruent then it’s all angles are congruent.

ii. The diagonals of a parallelogram bisect each other.