University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2020
Views:

92

Pages:

5
Author:

Genevieve Wright

Skills Practice Skills Practice for Lesson 10.1 Name ANSWER KEY Riding a Ferris Wheel Introduction to Circles Date Vocabulary Write the term from the box that best completes each statement. circle diameter point of tangency arc center secant✓✓ central angle minor arc radius tangent inscribed angle major aro chord semicircle 10 1. The RADIUS is the distance from the center of a circle to a point on the circle. 2. A(n) CIRCLE is the set of all points in a plane that are the same distance from a given point, called the center of the circle. 3. Aln) SEMICIRCLE is an arc whose endpoints form the endpoints of a diameter of the circle. 4. The distance across a circle through the center is the DIAMETER of the circle. 5. A(0) CENTRAL ANGLE of a circle is an angle whose sides are radii. 6. A(n) AR C on the circle. is an unbroken portion of a circle that lies between two points 7. A(n) (HOR-D is a segment whose endpoints are points on a circle. 8. Two points on a circle determine a major arc and a minor arc; the arc with the greater measure. MAJOR ARC is the 9. Ain) TANGENT of a circle is a line that intersects the circle in exactly one point. 10. A(n) angle whose vertex is on a circle and whose sides contain chords of the circle is an INSCRIBED ANGLE 11. A line that intersects a circle at two points is a(n) SECANT of the circle. 12. The PANT OF TANGENCY is the point at which a tangent intersects a circle. 13. The CENTER point on the circle. of a circle is a fixeci point in space that is an equal distance from every 14. Two points on a circle determine a minor arc and a major arc; the with the lesser measure. MINOL ARC is the arc Chapter 10 Skills Practice365- overline QR is a radius of OR and overline PQ is tangent to OR. Find the value of x. m ^ 2 = 8 ^ 2 + x ^ 2 284 = 64 + x ^ 2 x = 15 225 / (X ^ 2) 11. 17- R P 8 X Q 13. Q 30 P X 18 X R X 12. 24 Q P 26 YR 14. R X 36 X P Q 48 x ^ 2 + 24 ^ 2 = 26 ^ 2 x ^ 2 + 576 = 672 x² 100 x = 10 x ^ 2 + 30 ^ 2 = (x + 18) ^ 2 x ^ 2 + 900 = x ^ 22 + 36x + 324; - x ^ 2 - 314 - x ^ 1 - 324 57b = 36x Find the measure of the given arc. 15 MAC 48 ^ 2 + x ^ 2 = 1x + 34 ^ 2 2304 + x ^ 2 = x ^ 2 + 72x + 1296 x = 14 1008 = 72x 16 m overline ORS B Q 9 52 R A D 118 deg T 104 6 S P C 360-118242 121 x = 16 52 deg 1/2 * (242) 17. m overline DF 125° 18. m overline \mathcal{M}*L E J 110 60 5 M K G N F 60 deg 5 D L ) E 19. A 100 deg 20. x B (50 D 80 ^ n - F 80 deg G 21. C 22. U J T16 XK 230 deg 130 14 S 23 V L 1/2 * (230 - 130) = x 50 deg = x 1/2 * (10s) = x M(30) = x(x + 23) X = 12 0 = x ^ 2 + 23 * (- 420) 0 = (x + 35)(x - 12) x = 12 x = - 35 420 = x ^ 2 + 23x 125 deg 120 deg 125 deg