Conditional and biconditional Statements-Geometry

Geometry logic: Master conditional and biconditional statements!

Fill in the blank with the correct word. An "if, then" statement is called a conditional statement.The "if" part of the conditional statement is called the hypothesis.The "then" part of the conditional statement is called the conclusion.If you flip, flop the hypothesis and the conclusion, this creates the converse of the statement.If you negate ("NOT") both the hypothesis and the conclusion, this creates the inverse of the statement.If you "flip flop" and "not, not" both the hypothesis and the conclusion, this creates the contrapositive of the statement.When a conditional statement and its converse are both true you can write them as a single biconditional statement. INVERSE Please match the inverse of each to the conditional statement. If it is sunny, then it's hot outside. If it is not sunny, then it is not hot outside. If it is hot outside, then it is sunny. If it is not hot outside, then it is not sunny. If I study, then I will get an A. If I don't study, then I will not get an A. If I get an A, then I must have studied. If I don't get an A, then I must not have studied. Converse Match each conditional statement with it's converse. If I am tired, then I should sleep. If I should sleep, then I am tired. If I sleep, then I am not tired. If I am not tired, then I did sleep. If I am hungry, then I should eat. If I should eat, then I am hungry. If it eat, then the food is good. If the food is good, then I should eat. Which statement is the contrapositive for "If you like to read, then you go to the library." If you go to the library, then you like to read. If you don't like to read, then you don't go to the library. If you don't go to the library, then you don't like to read. Which statement is the contrapositive for "If you like ice cream, then you go to Fritz's." If you don't go to Fritz's, then you don't like ice cream. If you don't like ice cream, then you don't go to Fritz's. If you go to Fritz's, then you like ice cream. Which statement is the contrapositive for "If you back talk, then you get grounded." If you don't back talk, then you don't get grounded. If you don't get grounded, then you don't back talk. If you get grounded, then you back talked. Converse Write the converse for "If you like the water, then you like to swim." Inverse Write the inverse for "If you write, then you type fast." Contrapositive Write the contrapositive for "If it's cold, then I wear a coat." Find the converse and biconditional of each statement by sorting the statements to the correct description. Statements:1. If two lines are perpendicular, then they intersect to form two right angles.2. If you are at least 18 years old, then you are eligible to vote.3. If it is a Saturday afternoon, then Alonzo will watch a new movie.4. If B is between A and C, then AB + BC = AC. Conditional If two lines intersect to form two right angles, then they are perpendicular. If you are eligible to vote, then you are at least 18 years old. If Alonzo watched a new movie, then it is a Satruday afternoon. If AB + BC = AC, then B is between A and C. Biconditional Two lines are perpendicular if and only if they intersect to form two right angles. You are eligible to vote if and only if you are at least 18 years old. Alonzo will watch a new movie if and only if it is a Satruday afternoon. B is between A and C if and only If AB + BC = AC. COMPLETE THE SUMMARY of TRUTH VALUES of CONDITIONAL and BICONDITIONAL p↔q p q p→q p↔q TRUE TRUE TRUE TRUE TRUE FALSE FALSE FALSE FALSE TRUE TRUE FALSE FALSE FALSE TRUE TRUE