Q6 of 29 Page 11

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?

Let the point 7 units away from A be B, then d (A, B) = 7 where the coordinate of A is 1.

So, we have either of the following two cases:


Case I- If A > B, then


d(A, B) = A – B


⇒ 7 = 1 – B ⇒ B = 1 – 7 = -6


Case II- If A < B, then


d(A, B) = B – A


⇒ 7 = B – 1 ⇒ B = 7 + 1 = 8


Hence, the coordinates of the required points are -6 and 8.


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Co-ordinate of point P on a number line is - 7. Find the co-ordinates of points on the number line which are at a distance of 8 units from point P.

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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) = ?

 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.

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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.