1. What is the opposite of 1/2 ? 2. What is the reciprocal of 1/2 ?

3. What is the reciprocal of 3?

4. What is the reciprocal of 5/6?

5. What is the opposite of 4?

6. What is the opposite reciprocal of 2/3 ?

7. What is the opposite reciprocal of 2?

8. What do you know about the slopes of parallel lines?

9. What do you know about the slopes of perpendicular lines?

10. What is the equation of a line that is perpendicular to `y=-\frac{2}{3}x\ +7`

Acircle has a diameter will endpoints of (-2,8) and (6, 4). what is the center of the circle

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

In the given figure ar(adf) =ar(cda) and ar(cdf) = ar(cdf). show that abdc and cdfe are trapeziums.