WorksheetsAsynchronous Activity 04232024
Total questions: 15
Worksheet time: 17mins
Which of the following best describes the inverse of a conditional statement?
If it is in the form of “If p, then q”.
Both the hypothesis and conclusion are negated.
The hypothesis and the conclusion are interchanged.
The hypothesis and the conclusion of its converse are negated.
Which of the following forms is a contrapositive of “If p, then q”?
If p, then q
If p, then p
If not p, then not q
If not q, then not p
Which of the following forms is an inverse of “If p, then q”?
If p, then q
If q, then p
If not p, then not q
If not q, then not p
Given the conditional statement “If 𝟐𝒙 + 𝟓 = 𝟕, then 𝒙 = 𝟏”. The statement “If 𝑥 = 1, then 2𝑥 + 5 = 7” is its___________.
contrapositive
converse
hypothesis
inverse
“If the figure is a quadrilateral, then it is a four-sided polygon”.
If a polygon is four-sided, then it is a quadrilateral.
contrapositive
converse
hypothesis
inverse
“If the figure is a quadrilateral, then it is a four-sided polygon”.
If a polygon is not a quadrilateral, then it is not four-sided.
conclusion
contrapositive
converse
inverse
“If the figure is a quadrilateral, then it is a four-sided polygon”.
If a polygon is not four-sided, then it is not a quadrilateral.
contrapositive
converse
hypothesis
inverse
“If a number is divisible by 2 and 3, then it is divisible by 6”
How is it written in an inverse form?
If a number is divisible by 6, then it is divisible by 2 and 3.
If a number is not divisible by 2 and 3, then it is divisible by 6.
If a number is not divisible by 2 and 3 then it is not divisible by 6.
If a number is not divisible by 6, then it is not divisible by 2 and 3.
“If a number is divisible by 2 and 3, then it is divisible by 6”
Which of the following is the converse of the statement?
If a number is divisible by 6, then it is divisible by 2 and 3.
If a number is not divisible by 2 and 3, then it is divisible by 6.
If a number is not divisible by 2 and 3 then it is not divisible by 6.
If a number is not divisible by 6, then it is not divisible by 2 and 3.
“If a number is divisible by 2 and 3, then it is divisible by 6”
What is its contrapositive?
If a number is divisible by 6, then it is divisible by 2 and 3.
If a number is not divisible by 2 and 3, then it is divisible by 6.
If a number is not divisible by 2 and 3 then it is not divisible by 6.
If a number is not divisible by 6, then it is not divisible by 2 and 3.
“If you are in love, then you are inspired.”
If you are not inspired, then you are not in love.
conclusion
contrapositive
converse
inverse
“If you are in love, then you are inspired.”
If you are not in love, then you are not inspired.
contrapositive
converse
hypothesis
inverse
“If you are in love, then you are inspired.”
If you are inspired, then you are in love.
conclusion
contrapositive
converse
inverse
Jenny asked her friend Jacky to help her write the contrapositive of the statement “If you are a second-year student, then you are a sophomore”. To write it correctly, which of the following should be the answer of Jacky?
If you are not second year student, then you are a sophomore.
If you are not a sophomore, then you are a second-year student.
If you are not a second-year student, then you are not a sophomore.
If you are not a sophomore, then you are not a second-year student.
Karl was asked by his Mathematics teacher to write the inverse form of the statement “If you are a second-year student, then you are a sophomore”. His answer is written this way “If you are a sophomore, then you are a second year student”. What can you conclude about the answer of Karl?
His answer is correct since it is in the inverse form.
His answer is wrong since it is in converse form.
His answer is wrong since it is in contrapositive form.
His answer is correct since it is in conditional (if-then) form.
