Q7 of 29 Page 11

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.

The conditional forms of the above statements are as follows:

i. If the given quadrilateral is a rhombus then it is a square.


ii. If a pair of angles is linear then the angles are supplementary.


iii. If a given figure is a triangle then it is formed by three segments.


iv. If a number has only two divisors then it is called a prime number.


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5

Answer the following questions.

i. If A - B - C and d(A,C) = 17, d(B,C) = 6.5 then d (A,B) = ?


ii. If P - Q - R and d(P,Q) = 3.4, d(Q,R)= 5.7 then d(P,R) = ?

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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?

 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.

 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.