You could live in a house in the suburbs or country ____ 10. What is the converse of the following conditional? If a point is in the first quadrant, then its coordinates are positive. If the coordinates are positive, then a point is in the first quadrant. ____ 11. For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional. If = 4, then = 16. x 4x Converse: If 4x = 16, then x = 4. True x = 4 if and only if 4x = 16 ____ 12. What is the converse of the following true conditional? The inverse? The contrapositive? If two lines are parallel, they do not intersect. Converse: If 2 lines do not intersect, then they are parallel. Inverse: If 2 lines are not parallel, then they do intersect. Contra: If 2 lines do intersect, then they are not parallel. ____ 13. Determine whether the conditional and its converse are both true. If both are true, combine them as a biconditional. If either is false, give a counterexample. If an angle is an acute angle, its measure is less than 90. If an angle measure is less than 90, the angle is an acute angle. Both are True Biconditional: An angle is an acute angle if and only if its measure is less than 90. ____ 14. Write the two conditional statements that make up the following biconditional. I drink coffee if (and only if) it is breakfast time. If I drink coffee, then it is breakfast time. If it is breakfast time, then I drink coffee. ____ 15. One way to show that a statement is NOT a good definition is to find a ____. Counterexample ____ 16. Provide a counterexample to the following faulty definition? A square is a figure with four sides. A rectangle (or rhombus, parallelogram, trapezoid) has four sides as well.
You could live in a house in the suburbs or country ____ 10. What is the converse of the following conditional? If a point is in the first quadrant, then its coordinates are positive. If the coordinates are positive, then a point is in the first quadrant. ____ 11. For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional. If x = 4, then 4x = 16. Converse: If 4x = 16, then x = 4. True x = 4 if and only if 4x = 16 ____ 12. What is the converse of the following true conditional? The inverse? The contrapositive? If two lines are parallel, they do not intersect. Converse: If 2 lines do not intersect, then they are parallel. Inverse: If 2 lines are not parallel, then they do intersect. Contra: If 2 lines do intersect, then they are not parallel. ____ 13. Determine whether the conditional and its converse are both true. If both are true, combine them as a biconditional. If either is false, give a counterexample. If an angle is an acute angle, its measure is less than 90. If an angle measure is less than 90, the angle is an acute angle. Both are True Biconditional: An angle is an acute angle if and only if its measure is less than 90. ____ 14. Write the two conditional statements that make up the following biconditional. I drink coffee if (and only if) it is breakfast time. If I drink coffee, then it is breakfast time. If it is breakfast time, then I drink coffee. ____ 15. One way to show that a statement is NOT a good definition is to find a ____. Counterexample ____ 16. Provide a counterexample to the following faulty definition? A square is a figure with four sides. A rectangle (or rhombus, parallelogram, trapezoid) has four sides as well.
Geometry%20Ch.%202%20Test%20Review%20Key%202013.docx