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Q9

Expert-verifiedFound in: Page 35

Book edition
Student Edition

Author(s)
Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages
227 pages

ISBN
9780395977279

Write each biconditional as two conditionals that are converses of each other.

Points are collinear if and only if they all lie in one line.

The two conditionals statement for given binomial is:

(a). If points are collinear, then they lie on the same line.

(b). If all points are in one line, then they are collinear.

The hypothesis and the conclusion of a conditional statement are where the hypothesis is the phrase immediately following by the word if and the conclusion is the phrase immediately following by the word then.

The biconditional statement consists of a conditional statement along with its converse.

As per the definition of conditionals, for the biconditional statement, “points are collinear if and only if they all lie in one line.” the two conditionals are:

(a). If points are collinear, then they lie on the same line.

(b). If all points are in one line, then they are collinear.

Both statements (a) and (b) are converses of each other.

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