Statements and Negation Worksheet with Answer Key

What's on the worksheet

1. Decide which sentences are statements and whether each is true or false.
2. Write the negation of each statement and give both truth values.
   The midpoint of the segment from (2, 5) to (8, −1) is (5, 2).The points (1, 2), (3, 6) and (4, 9) are collinear.An angle that measures 90° is acute.The segment from (−3, 1) to (3, 9) has length 10.The point (4, −1) lies on the line y = -2x + 7.
3. Decide if two statements about distance and midpoint are true, then evaluate combined statements.
   \neg P \wedge Q\neg(P \wedge Q)\neg P \vee \neg Q\neg(\neg P \vee Q)\neg(P \vee Q)
4. Test whether obtuse is the negation of acute, and rewrite angle statements as inequalities.
5. Check Diego's negation of a midpoint statement with a test case.
6. Identify each statement from its truth table column.