Basic Concept in Geometry

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Find the distances with the help of the number line given below.

(i) d(B,E)
(ii) d(J, A)
(iii) d(P, C)
(iv) d(J, H)
(v) d(K, O)
(vi) d(O, E)
(vii) d(P, J)
(viii) d(Q, B)

On a number line, points A, B and C are such that d(A,C) = 10, d(C,B) = 8 . Find d(A, B) considering all possibilities.

Write the following statement in conditional form.

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

Write the converse of the following statement.

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

Write the converse of the following statement.

If the sum of measures of two angles is 90⁰ then they are complement of each other.

Write the converse of the following statement.

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