University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2023
Views:

500

Pages:

4
Author:

diamundgalx45p

Review these conjectures and ask yourself which quadrilaterals can be inscribed in a circle. Can any parallelogram be a cyclic quadrilateral? If two sides of a cyclic quadrilateral are parallel, then what kind of quadrilateral will it be? **EXERCISES** Use your new conjectures to solve Exercises 1 1. www.cusd80.com www.cusd80.com 1-17. 1. b = 30° 2. c = 130° 3. d = 40° 4. h = 30°, f = 100° 5. d = 40° 6. f = 90° 7. HUNT is a rhombus. 8. CALM is a rectangle. 9. DOWN is a kite. y = 150° 10. k = 142° 11. s = 60°, t = 120° 12. m = 110°, n = 140° 13. p = 11°, q = 241° 14. What is the sum of a, b, c, d, and e? 180° Tangent circles are two circles that are tangent to the same line at the same point. They can be internally tangent or externally tangent, as shown. Externally tangent circles Internally tangent circles EXERCISES 1. Rays m and are tangent to circle P. w 360 120 -130 50° P130° kite! 2. Rays rands are tangent to circle Q. x Isosceles A. 180 10 1102- 0 55° 3. Ray k is tangent to circle R. y 4. Line t is tangent to both circles. = 1 Y=30 360 R 120 -180 180 -75 105° 75 M 5. Quadrilateral POST is circumscribed about circle Y. OR 13 and ST = 12. What is the perimeter of POST? 13 P 6 13 13-4-52 13 R 6 S 6 6.4-24 76 13 Y TD 6 6. Pam participates in the hammer-throw event. She swings a 16 lb ball at arm's length, about eye-level. Then she releases the ball at the precise moment when the ball will travel in a straight line toward the target area. Draw an overhead view that shows the ball's circular path, her arms at the moment she releases it, and the ball's straight path toward the target area. 7. Explain how you could use only a T-square, like the one shown, to find the center of a Frisbee. Pam Dukes competes in the hammer-throw event. LESSON 6.2 Tangent Properties 315