2.3/2.4 Converse, Inverse, Contrapositive DOL Retake
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Last updated 3 months ago
10 questions
This formative focuses on understanding and writing converse, inverse, and contrapositive statements from given conditional statements, both geometrical and logical, including real-world examples.
Required
1
Identify the conditional statement from the following geometric scenario: "If a figure is a square, then it has four equal sides."
Identify the conditional statement from the following geometric scenario: "If a figure is a square, then it has four equal sides."
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1
Write the converse of the following statement: "If two lines are parallel, then they do not intersect."
Write the converse of the following statement: "If two lines are parallel, then they do not intersect."
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1
Write the inverse of the logical statement: "If it rains, then the ground gets wet."
Write the inverse of the logical statement: "If it rains, then the ground gets wet."
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1
Formulate the contrapositive of the statement: "If a number is even, then it is divisible by 2."
Formulate the contrapositive of the statement: "If a number is even, then it is divisible by 2."
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1
Compare the truth values: "If a car is yellow, then it's a taxi" and its converse.
Compare the truth values: "If a car is yellow, then it's a taxi" and its converse.
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1
Write the contrapositive of the statement: "If a student studies, then they pass the exam."
Write the contrapositive of the statement: "If a student studies, then they pass the exam."
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1
The inverse and contrapositive of a statement always have the same truth value.
The inverse and contrapositive of a statement always have the same truth value.
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1
Which of the following are correct converses of the statement: "If a shape is a circle, then it has no corners?"
Which of the following are correct converses of the statement: "If a shape is a circle, then it has no corners?"
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1
Identify the hypothesis and conclusion in the following statement: "If a polygon is a triangle, then it has three sides."
Identify the hypothesis and conclusion in the following statement: "If a polygon is a triangle, then it has three sides."
Required
1
What is the hypothesis and conclusion in the statement: "If a plant is a rose, then it has thorns."
What is the hypothesis and conclusion in the statement: "If a plant is a rose, then it has thorns."