This formative focuses on understanding and writing converse, inverse, and contrapositive statements from given conditional statements, both geometrical and logical, including real-world examples.
Question 1
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Question 2
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Question 3
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Question 4
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Question 5
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Compare the truth values: "If a car is yellow, then it's a taxi" and its converse.
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Question 7
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Question 8
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Question 9
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Question 10
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Identify the conditional statement from the following geometric scenario: "If a figure is a square, then it has four equal sides."
It has four equal sides if it's a square.
If a figure is a square, then it has four equal sides.
A figure is a square when it has four equal sides.
Write the converse of the following statement: "If two lines are parallel, then they do not intersect."
If two lines do not intersect, then they are parallel.
If two lines intersect, then they are not parallel.
If two lines are parallel, then they do intersect.
Write the inverse of the logical statement: "If it rains, then the ground gets wet."
If it doesn't rain, then the ground doesn't get wet.
If the ground doesn't get wet, then it doesn't rain.
If it rains, then the ground gets wet.
Formulate the contrapositive of the statement: "If a number is even, then it is divisible by 2."
If a number is not divisible by 2, then it is not even.
If a number is divisible by 2, then it is not even.
If a number is even, then it is not divisible by 2.
Write the contrapositive of the statement: "If a student studies, then they pass the exam."
If a student doesn't pass the exam, then they didn't study.
If a student passes the exam, then they studied.
If a student studies, then they don't pass the exam.
The inverse and contrapositive of a statement always have the same truth value.
True
False
Which of the following are correct converses of the statement: "If a shape is a circle, then it has no corners?"
If a shape has no corners, then it is a circle.
If a shape is a square, then it has corners.
If a shape has corners, then it is not a circle.
Identify the hypothesis and conclusion in the following statement: "If a polygon is a triangle, then it has three sides."
Hypothesis: A polygon is a triangle; Conclusion: It has three sides.
Hypothesis: It has three sides; Conclusion: A polygon is a triangle.
Hypothesis: A triangle has three sides; Conclusion: It’s a polygon.
What is the hypothesis and conclusion in the statement: "If a plant is a rose, then it has thorns."
Hypothesis: A plant is a rose; Conclusion: It has thorns.
Hypothesis: It has thorns; Conclusion: A plant is a rose.
Hypothesis: Roses have thorns; Conclusion: It’s a plant.