Geometry (A)

Complete the following questions. The answers are listed below so you can check yourself.

Review Questions

Must the third sentence be true if the first two sentences are true? Explain your answer.

1. People who vote for Jane Wannabe are smart people.

I am a smart person.

I will vote for Jane Wannabe.

2. If Rae is the driver today then Maria is the driver tomorrow.

Ann is the driver today.

Maria is not the driver tomorrow.

3. All equiangular triangles are equilateral.

is equiangular.

is equilateral.

What additional statement must be true if the given sentences are true?

4. If West wins, then East loses.

   If North wins, then West wins.

5. If then .

   If then .

Review Answers

1. No (converse error). The second statement needs to follow the hypothesis of the first statement, not the conclusion.
   
2. No (inverse error).The second statement does not follow the hypothesis of the first statement.
   
3. Yes.
4. If North wins, then East loses.
5. If x>5 then y>7