2.2+Definitions+&+Biconditionals

Hello :).

Summary: In this section you'll learn to identify and use biconditional statements. It will teach you how to write biconditional statements and other formats, like conditional, converse, inverse, and contrapositive statements.

Web Links: http://tutor-usa.com/free/geometry/worksheet/biconditional-statements-and-good-definitions http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-829637-4&title=scq&chapter=2&lesson=3&quizType=1&headerFile=6&state=nj

Vocab:
 * Biconditional statement**: a statement that contains the phrase “if and only if.”
 * Conditional statement:** a statement that that is in 'if then' format.
 * Converse:** the reverse of the conditional.
 * Inverse:** the negative of the original statement.
 * Contrapositive:** the negative of the converse.

Practice Problems:

Write the statement as a biconditional: 1. If a shape has 3 sides, then it is a triangle. 2. If an angle is 90 degrees, then it is right.

Write the converse of the statements: 1. If 2 lines intersect at right angles, then they are perpendicular. 2. If 2 angles equal 90 degrees, then they are complementary.

Write the biconditional statements as conditional statements. 1. A ray bisects an angle if and only if it divides the angle into two congruent angles. 2. Two angles are congruent if and only if they have the same measure.


 * Some examples taken from online textbook. (pages 82 - 83).*