What is the hypothesis of the given statement?
If money grows in trees, then you can be rich.
The hypothesis of the given statement is "Money grows in trees."
Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.
The converse of the given statement is: "If your rates go up, then you made an insurance claim."
Which statement is the contrapositive of the given statement?
If a person is a banjo player, then the person is a musician.
The contrapositive of the given statement is: "If a person is not a musician, then the person is not a banjo player."
How are the two statements given below related to each other?
X: If you run for 10 minutes, then you will raise your heart rate.
Z: If you do not run for 10 minutes, then you will not raise your heart rate.
The two statements, X and Z, are related as the contrapositive of each other. Statement Z is the contrapositive of statement X.
The following conditional statement is true. What is the statement's converse and is the converse true?
If a figure is a square then it has four right angles.
The converse of the given statement is:
Converse: If a figure has four right angles, then it is a square.
To determine whether the converse is true or not, we must evaluate if all figures with four right angles are squares. This is not true, as there are other shapes with four right angles, such as rectangles. Therefore, the converse is false.
The following conditional statement is true. What is the statement's converse and is the converse true?
If a figure is a square, then it has four right angles.
The converse of the given statement is:
Converse: If a figure has four right angles, then it is a square.
To evaluate whether the converse is true or not, we need to determine if all shapes with four right angles are squares. In this case, the converse is indeed true. All figures with four right angles are squares, so the converse is true.