Geometry Module 1 Review

Assuming these statements are true, If I can afford to buy new skis, I can go snow skiing. I can afford to buy new skis. Which of the following is a valid conclusion?

• I am going to by new skis.

• I am not going snow skiing.

• I can go snow skiing.

• I cannot afford to buy new skis.

What is the converse of the following statement? Statement: If a polygon has four sides, then it is a quadrilateral.

• If a polygon is a quadrilateral, then it has four sides.

• If a polygon does not have four sides, then it is not a quadrilateral.

• If a polygon is not a quadrilateral, then it does not have four sides.

• If a polygon is a quadrilateral, then it does not have four sides.

Given the following contrapositive, what is the original statement? Contrapositive: If it is raining outside, then Patty will not go to the store.

• If it is not raining outside, then Patty will not go to the store.

• If Patty goes to the store, then it is not raining outside.

• If Patty does not go to the store, then it is raining outside.

• If it is raining outside, then Patty will go to the store.

Which statement is the contrapositive of the following statement? 'If the other team does not win, then I am happy.'

• If I am not happy, then the other team does win.

• If I am happy, then the other team does not win.

• If I am not happy, then the other team does not win.

• If I am happy, then the other team does win.

Which statement is the inverse of the following statement? 'If I live in South Hill, then I live in Virginia?'

• If I do not live in South Hill, then I live in Virginia.

• If I do not live in South Hill, then I do not live in Virginia.

• If I do not live in Virginia, then I do not live in South Hill.

• If I live in Virginia, then I live in South Hill.

Let A: miss a day of school and B: have perfect attendance. Which notation below represents the following statement? 'If I do not miss a day of school, then I have perfect attendance.'

• A → B

• ~A→B

Let p represent: the sun is out. Let q represent: it is hot. What is the verbal translation of the symbolic representation given below?

p→q

• If the sun is out, then it is hot.

• If the sun is not out, then it is hot.

• If the sun is out, then it is not hot.

• If the sun is not out, then it is not hot.

Which statement is the converse of the following statement? 'If I go to bed late, then I will be tired tomorrow.'

• If I do not go to bed late, then I will not be tired tomorrow.

• If I go to bed late, then I will not be tired tomorrow.

• If I am tired tomorrow, then I did not go to bed late.

• If I am tired tomorrow, then I went to bed late.

Let p = Wear a coat. Let q = You will not be cold. Argument: If you do not wear a coat, then you will be cold. Which of the following is the symbolic representation of the given argument?

• ~q→p

• ~q→~p

• ~p→q

• ~p→~q

• p→ ~q

Let p: Valentine's Day and q: February 14. Which notation below represents the following statement? 'It is Valentine's Day if and only if it is February 14?'

• P→ Q

• ~P→~Q

• Q→ P

• P↔Q