Quiz 13.1-13.3 Review Answers

Quiz 13.1­13.3 Review Answers 1. 13 2. 11 3. √137 4. 8√2 5. (5, ­2), r = √15 6. ­6 7. Sketch a circle with center (1, ­1) and radius 2 (so go up 2, down 2, left 2, right 2 from the center) 8. In a rectangle, the opposite sides are congruent and parallel. So to find the length of DC, find the length of AB and it’s the same. Find the slope of AB and it’s the same as the slope of DC. To find the slope of AD, it’s perpendicular to AB, so take the opposite reciprocal. DC = 3√2, slope of DC = 1, slope of AD = ­1 9. Find the radius by plugging (2, 5) and (4, 6) into the distance formula. The radius is √5. Then the equation of the circle is (x – 2)² + (y – 5)² = 5.

10. n and j 11. k and m 12. x 13. y 14. a. ­5/2 b. 2/5