To write down the sentence in conditional form and to determine the converse, the inverse, and the contrapositive of statement.
Answer to Problem 7PSB
Conditional form of given sentence is “If it is square, then a quadrilateral has four congruent sides.”
Explanation of Solution
Given information:
The given sentence is “A square is a quadrilateral with four congruent sides.”
Every conditional statement “If p, then q” has three other statements associated with it.
A converse (If q, then p)
An inverse
A contrapositive
By referring to above associated statements, we can write:
Converse: “If a quadrilateral has four congruent sides, then it is a square.”
Inverse: “If a
Contrapositive: “If a quadrilateral does not have four congruent sides, then it is not a square.”
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