Question 1

Which of the following statements derived −𝑞 → −𝑝 from 𝑝 → 𝑞 ?

Accepted Answer

contrapositive

Answer

conditional

Answer

<P>inverse</P>

Answer

<P>converse </P>

Question 2

What is the converse of the inverse of the given statement 𝑝 → 𝑞?

Accepted Answer

−𝑞 → −𝑝

Answer

𝑞 → 𝑝

Answer

𝑝 → 𝑞

Answer

−𝑝 → −𝑞

Question 3

What is the inverse of the statement “ If a polygon is a quadrilateral, then it has four sides”?

Accepted Answer

If a polygon is not a triangle, then the number of its sides is not three.

Answer

If a triangle is not a polygon, then it is not a closed plane figure.

Answer

If the number of sides of a polygon is not three, then it is not a triangle

Answer

If a polygon has three sides, then it is a triangle.

Question 4

What is the converse of the statement “ If a polygon is a quadrilateral, then it has four sides”?

Accepted Answer

If a polygon has four sides, then it is a quadrilateral.

Answer

If a polygon is not a quadrilateral, then the number of its sides is not four.

Answer

If the number of sides of a polygon is not four, then it is not a quadrilateral

Answer

If a quadrilateral is not a polygon, then it is not a closed plane figure.

Question 5

What is the symbolic representation of the inverse of the contrapositive of a conditional statement?

Accepted Answer

𝑞 → 𝑝

Answer

−𝑞 → −𝑝

Answer

−𝑝 → −𝑞

Answer

𝑝 → 𝑞

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