Question

1. if two angles are complementary, then they total 90°. converse:__ inverse: contrapositive: 12. if a line bisects a segment, then the segment is divided into two congruent parts. converse: inverse: contrapositive: 13. if it rains, then i will not go. converse: inverse: contrapositive: 14. if two angles form a linear pair, then they are supplementary. converse: inverse: contrapositive:__

Explanation:

Step1: Recall conditional statement forms

For a conditional statement "If p, then q", the converse is "If q, then p", the inverse is "If not p, then not q" and the contrapositive is "If not q, then not p".

Step2: Solve for problem 11

The original statement is "If two angles are complementary, then they total 90°".
Converse: If two angles total 90°, then they are complementary.
Inverse: If two angles are not complementary, then they do not total 90°.
Contrapositive: If two angles do not total 90°, then they are not complementary.

Step3: Solve for problem 12

The original statement is "If a line bisects a segment, then the segment is divided into two congruent parts".
Converse: If a segment is divided into two congruent parts, then a line bisects the segment.
Inverse: If a line does not bisect a segment, then the segment is not divided into two congruent parts.
Contrapositive: If a segment is not divided into two congruent parts, then a line does not bisect the segment.

Step4: Solve for problem 13

The original statement is "If it rains, then I will not go".
Converse: If I will not go, then it rains.
Inverse: If it does not rain, then I will go.
Contrapositive: If I will go, then it does not rain.

Step5: Solve for problem 14

The original statement is "If two angles form a linear - pair, then they are supplementary".
Converse: If two angles are supplementary, then they form a linear - pair.
Inverse: If two angles do not form a linear - pair, then they are not supplementary.
Contrapositive: If two angles are not supplementary, then they do not form a linear - pair.

Answer:

11.
Converse: If two angles total 90°, then they are complementary.
Inverse: If two angles are not complementary, then they do not total 90°.
Contrapositive: If two angles do not total 90°, then they are not complementary.
12.
Converse: If a segment is divided into two congruent parts, then a line bisects the segment.
Inverse: If a line does not bisect a segment, then the segment is not divided into two congruent parts.
Contrapositive: If a segment is not divided into two congruent parts, then a line does not bisect the segment.
13.
Converse: If I will not go, then it rains.
Inverse: If it does not rain, then I will go.
Contrapositive: If I will go, then it does not rain.
14.
Converse: If two angles are supplementary, then they form a linear - pair.
Inverse: If two angles do not form a linear - pair, then they are not supplementary.
Contrapositive: If two angles are not supplementary, then they do not form a linear - pair.