Q8 of 29 Page 11

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.

The converses of the above statements are as follows:

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


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


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


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


More from this chapter

All 29 →
6

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?

 7

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.

 9

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.

 10

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.