Q2-Module7: DERIVED CONDITIONAL STATEMENTS: Converse, Inverse and Contrapositive
Quiz by JOCELYN O. HULIP
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- Q1
Which of the following statements derived −𝑝 → −𝑞 from 𝑝 → 𝑞 ?
converse
inverse
conditional
contrapositive
30sM8GE-IIg-1 - Q2
What is the symbolic representation of the contrapositive of a conditional statement?
p → q
− q → −p
− p → −q
q → p
30sM8GE-IIg-1 - Q3
What is the inverse of the statement “ If a polygon is a triangle, then it has three sides”?
If the number of sides of a polygon is not three, then it is not a triangle
If a polygon has three sides, then it is a triangle
If a polygon is not a triangle, then the number of its sides is not three.
If a triangle is not a polygon, then it is not a closed plane figure.
30sM8GE-IIg-1 - Q4
What is the converse of the statement “ If a polygon is a triangle, then it has three sides”?
If the number of sides of a polygon is not three, then it is not a triangle
If a polygon has three sides, then it is a triangle.
If a triangle is not a polygon, then it is not a closed plane figure.
If a polygon is not a triangle, then the number of its sides is not three.
30sM8GE-IIg-1 - Q5
What is the converse of the statement “If a number is divisible by 9, then the sum of its digits is divisible by 9.”?
If the number is divisible by 9, then the sum of its digits is not divisible by 9
If the sum of the digits of a number is divisible by 9, then it is divisible by 9.
If the number is not divisible by 9, then the sum of its digits is not divisible by 9
If the e sum of the digits of a number is not divisible by 9, then it is not divisible by 9.
30sM8GE-IIg-1 - Q6
What is the inverse of the statement, “If x is greater than zero, then x is positive.
If x is negative, then x is less than zero.
If x is positive, then x is greater than zero.
If x is not positive, then x is zero
If x is less than zero, then x is not positive.
30sM8GE-IIg-1 - Q7
What is the contrapositive of the given statement “If x is greater than zero, then x is positive.
If x x is less than zero, then x is not positive.
If x is positive, then x is greater than zero.
If x is not positive, then x is zero.
If x is negative, then x is less than zero.
30sM8GE-IIg-1 - Q8
What is the converse of the statement “ If ∆ABC is a right triangle, then its two sides are perpendicular.
If two sides of ∆ABC are perpendicular, then ∆ABC is a right triangle.
If two sides of ∆ABC are not perpendicular, then it is not a right triangle.
If ∆ABC is not a right triangle, then it has no right angle.
If ∆ABC is not a right triangle, then its two sides are not perpendicular.
30sM8GE-IIg-1 - Q9
What is the negation of the inverse of the given statement, “ If ∆ABC is a right triangle, then its two sides are perpendicular."
If two sides of ∆ABC are not perpendicular, then it is not a right triangle.
If two sides of ∆ABC are perpendicular, then ∆ABC is a right triangle.
If ∆ABC is not a right triangle, then it has no right angle.
If ∆ABC is a right triangle, then its two sides are perpendicular.
30sM8GE-IIg-1 - Q10
What is the contrapositive of the inverse of the given statement 𝑝 → 𝑞?
−q → −p
−𝑝 → −𝑞
q → p
p → q
30sM8GE-IIg-1