Name__________________________________________ Period________ Date__________________________ 2.1-2.3 Review Note: If p is the hypothesis of a conditional statement and q is the conclusion, then in notation… Conditional: π → π Converse: π → π Inverse: ~π → ~π Contrapositive: ~π → ~π Example: If π → ~π, then the inverse would be ~π → π. Underline the hypothesis and circle the conclusion of each conditional statement. 1. If today is Monday, then tomorrow is Tuesday. 2. If three points lie on a line, then they are collinear. 3. Write the following conditional in if-then form. Then write the converse, inverse, and contrapositive of the conditional. Supplementary angles have a sum of 180°. If-then form: ______________________________________________________________________________________________________ _______________________________________________________________________________________________________________________ Converse: _________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________ Inverse: ___________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________ Contrapositive: ___________________________________________________________________________________________________ _______________________________________________________________________________________________________________________ 4. Write the following conditional in if-then form. Then write the converse, inverse, and contrapositive of the conditional. Quadrilaterals have four sides. If-then form: ______________________________________________________________________________________________________ _______________________________________________________________________________________________________________________ Converse: _________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________ Inverse: ___________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________ Contrapositive: ___________________________________________________________________________________________________ _______________________________________________________________________________________________________________________ 5. Determine if the following statements are true. If they are, rewrite them as a biconditional statement. If two angles are complementary, then they add up to 90°. If two angles add up to 90°, then they are complementary. 6. Use each given statement as the conditional statement. Write the desired statement using the correct notation. a) π → β Inverse: ____________________ b) ~π → β Converse: ____________________ c) β → ~π Contrapositive: ____________________ Use the figure to the right for questions 11-15 to determine whether the given statements are true or false. If False, 11. Points D, B, and C are coplanar. ____________________ 12. Plane EAF is parallel to plane DBC. ____________________ β‘ at point A. ____________________ 13. Line m intersectsπ΄π΅ 14. β‘π·πΆ lies in plane DBC. ____________________ 15. π∠π·π΅πΊ = 90°. ____________________
