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
1.
Identify the conditional statement from the following geometric scenario: "If a figure is a square, then it has four equal sides."
Question 2
2.
Write the converse of the following statement: "If two lines are parallel, then they do not intersect."
Question 3
3.
Write the inverse of the logical statement: "If it rains, then the ground gets wet."
Question 4
4.
Formulate the contrapositive of the statement: "If a number is even, then it is divisible by 2."
Question 5
5.
Compare the truth values: "If a car is yellow, then it's a taxi" and its converse.
Question 6
6.
Write the contrapositive of the statement: "If a student studies, then they pass the exam."
Question 7
7.
The inverse and contrapositive of a statement always have the same truth value.
Question 8
8.
Which of the following are correct converses of the statement: "If a shape is a circle, then it has no corners?"
Question 9
9.
Identify the hypothesis and conclusion in the following statement: "If a polygon is a triangle, then it has three sides."
Question 10
10.
What is the hypothesis and conclusion in the statement: "If a plant is a rose, then it has thorns."