Maths-
General
Easy
Question
Write the converse and biconditional statement for the given conditional statement.
If a triangle is equilateral, then it is equiangular.
Hint:
The converse of a statement is formed by switching the hypothesis and the conclusion. The converse of "if p, then q" is "if q, then p."
¶A biconditional statement is a logic statement that includes the phrase, "if and only if," sometimes abbreviated as "if." The logical biconditional statement can be written as p if q, p if and only if q, p ↔ q
The correct answer is: Converse statement: If a triangle is equiangular, then it is equilateral. Biconditional statement: Triangle is equiangular, if and only if Triangle is equiangular.
It is given
p: Triangle is equilateral.
q: Triangle is equiangular.
Conditional statement of p → q is given as “If a triangle is equilateral, then it is equiangular. ”
Converse statement of p → q is q → p and it is written as “ If a triangle is equiangular, then it is equilateral. ”
Biconditional statement of p → q is p ↔ q“ Triangle is equiangular, if and only if Triangle is equiangular. ”
Final Answer:
Converse statement: If a triangle is equiangular, then it is equilateral.
Biconditional statement: Triangle is equiangular, if and only if Triangle is equiangular.
.
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