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Reasoning and Writing of Proofs 1
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Choose your answer(s) to each question. Note that certain questions may have more than one answer.

1. Which is the inverse of the following statement?

If two lines intersect, then they are coplanar.

If two lines are coplanar, then they intersect.
If two lines do not intersect, then they are not coplanar.
If two lines are not coplanar, then they do not intersect.
none of the choices
Answer: If two lines do not intersect, then they are not coplanar.
2. Consider the given statement in the previous item. Which of the following is (are) true?
its converse
its inverse
its contrapositive
none of the choices
Answer: its contrapositive
3. Which is the converse of the following statement?

If an angle measures greater than 90°, then it is an obtuse angle.

If an angle is obtuse, then its measure is greater than 90°.
If an angle is not obtuse, then its measure is not greater than 90°.
If the measure of an angle is not greater than 90°, then it is not an obtuse angle.
none of the choices
Answer: If an angle is obtuse, then its measure is greater than 90°.
4. Consider the given statement in the previous item. Which of the following is (are) true?
its converse
its inverse
its contrapositive
none of the choices
Answer: its converse; its inverse; its contrapositive
5. Which is the contrapositive of the following statement?

If two angles are congruent, then they have the same measure.

If two angles have the same measure, then they are congruent.
If two angles are not congruent, then they do not have the same measure.
If two angles do not have the same measure, then they are not congruent.
none of the choices
Answer: If two angles do not have the same measure, then they are not congruent.
6. Consider the given statement in the previous item. Which of the following is (are) false?
its converse
its inverse
its contrapositive
none of the choices
Answer: none of the choices
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