Chapter 2 - Section 3

Question 1

Biconditional Statement

Answer 1

A statement that has a true conditional and converse.

Must work in both directions. And needs to be TRUE!!!!!!!!!

Question 2

Write as a conditional and converse statement.

A ray is an angle bisector if and only if it divided an angle into two congruent angles.

Answer 2

Conditional: If a ray is an angle bisector, then the two angles are congruent.

Converse: If two angles are congruent, then a ray is an angle bisector.

Question 3

Write as a biconditional statement.

Conditional: If the sum of the measures of two angles is 180, then the two angles are supplementary.

Converse: If two angles are supplementary, then the sum of the measure of the two angles is 180.

Answer 3

Two angles are supplementary if and only if the sum of the measures of the two angles is 180 degrees.