Download Example Rewrite the following declarative sentence as a conditional

Laws of Logic
Name: ______________________
Geometry
Hour: ___________
For each declarative statement below, write a conditional statement, and then
write its converse, inverse and contrapositive. Determine the truth value of
each statement. If the statement is not true, find a counterexample.
1. A parallelogram is a quadrilateral with two pair of opposite sides
parallel.
2. An isosceles triangle has congruent base angles.
3. A rectangle is a parallelogram with 4 right angles.
4. A rhombus is a parallelogram with 4 congruent sides.
Write a biconditional statement that defines each word below.
5. Right triangle
6. Scalene triangle
7. Kite
Determine if the following is a necessary or sufficient condition, or both.
8. Is being female a necessary or sufficient condition for being a mother?
9. Are four right angles a necessary or sufficient condition for a
quadrilateral to be a square?
Which statement is true, explain.
10. “For all x, x3 is positive” or “There exists x, for which x3 is positive”.
11. “For all x, 2x is even” or “There exists x, for which 2x is even”.