Loading...
Reasoning and Writing of Proofs 1
A
B
C
D
E
F
Result
. . . .

Choose your answer(s) to each question. Note that certain questions may have more than one answer.

1. Which is the contrapositive of the if-then form of the following statement?

Two angles that form a linear pair are supplementary.

If two angles are supplementary, then they form a linear pair.
If two angles do not form a linear pair, then they are not supplementary.
If two angles are not supplementary, then they do not form a linear pair.
none of the choices
Answer: If two angles are not supplementary, then they do not form a linear pair.
2. Consider the if-then form of 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: its converse; its inverse
3. Which is the inverse of the if-then form of the following statement?

The intersection of two distinct lines is a point.

If the intersection is a point, then two distinct lines intersect.
If the intersection is not a point, then two distinct lines do not intersect.
If two distinct lines do not intersect, then their intersection is not a point.
none of the choices
Answer: If two distinct lines do not intersect, then their intersection is not a point.
4. Consider the if-then form of 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
5. Which is the converse of the if-then form of the following statement?

Supplements of congruent angles are congruent.

If two angles are congruent, then they are supplements of congruent angles.
If two angles are not supplements of congruent angles, then they are not congruent.
If two angles are not congruent, then they are not supplements of congruent angles.
none of the choices
Answer: If two angles are congruent, then they are supplements of congruent angles.
6. Consider the if-then form of 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
0
/ 6