Mathematics, 27.09.2021 18:20 madi1820
Logical Reasoning ("if-then" Statements) I. Determine if the following conditional is true or false, provide a counterexample if the statement is false. All points are in the Euclidean Plane. 1. If AM = MB, then M is the midpoint of AB . 2. If AB = 2PB, then P is the midpoint of AB . 3. If two angles are supplementary then they are equal. 4. If a figure is a square, then it is a quadrilateral. 5. If a quadrilateral has four right angles then it is a square. 6. If a quadrilateral is a parallelogram then it is a rectangle. 7. In a plane, if two lines are perpendicular to the same line, then they are parallel. 8. If a quadrilateral is a square, then it is a rectangle. II. Write the converse, inverse and contra-positive conditionals for the true problems above. State whether each conditional is true or false and provide a counterexample when the statement is false. III. Notice in the conditionals in part 2 the contrapositive is true. In general a contrapositive is true if the original if-then statement is true and is false if the original if-then statement is false. Choose one of the false if-then statements above and write the contrapositive. Give a counterexample to confirm the contrapositive is false.
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Martin likes to make flower bouquets that have 3 daffodils and 4 tulips per vase. a daffodil has a mass of d grams, a tulip has a mass of t grams, and the vase has a mass of u grams. the expression 5(3d + 4t + v) describes the mass of 5 bouquets. match each amount in the situation with the expression that represents it. situation expression number of bouquets mass of one bouquet mass of the tulips in one bouquet 4t mass of the daffodils in one bouquet 3d + 4t + v
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Logical Reasoning ("if-then" Statements) I. Determine if the following conditional is true or false,...
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