Q9 of 29 Page 11

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.

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


Antecedent: All sides of a triangle are congruent.


Consequent: All angles of the triangle are congruent.


ii. The diagonals of a parallelogram bisect each other.


The conditional form of the above statement is:


If the given quadrilateral is a parallelogram then its diagonals bisect each other.


Antecedent: The given quadrilateral is a parallelogram.


Consequent: The diagonals of the quadrilateral bisect each other.


More from this chapter

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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.

 8

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.

 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.