Over Lesson 10 5 Determine whether BC is
Over Lesson 10– 5 ___ Determine whether BC is tangent to the given circle. A. yes B. no A. A B. B
Over Lesson 10– 5 ___ Determine whether QR is tangent to the given circle. A. yes B. no A. A B. B
Over Lesson 10– 5 Find x. Assume that segments that appear to be tangent are tangent. 12 A. B. C. D. A B C D
Over Lesson 10– 5 Find x. Assume that segments that appear to be tangent are tangent. A. B. C. D. A B C D
Over Lesson 10– 5 ___ SL and SK are tangent to the circle. Find x. 5 A. B. C. D. A B C D
• Find measures of angles formed by lines intersecting on or inside a circle. • Find measures of angles formed by lines intersecting outside the circle.
• secant—A line that intersects a circle in two points.
Use Intersecting Chords or Secants A. Find x. Theorem 10. 12 Substitution Simplify. Answer: x = 82
Use Intersecting Chords or Secants B. Find x. Step 1 Find m VZW. Theorem 10. 12 Substitution Simplify.
Use Intersecting Chords or Secants Step 2 Find m WZX = supplementary 180 – VZW Definition of x= 180 – 79 Substitution x= 101 Answer: x = 101 angles Simplify.
Use Intersecting Chords or Secants C. Find x. Theorem 10. 12 Substitution Multiply each side by 2. Subtract 25 from each side. Answer: x = 95
A. Find x. 98 A. B. C. D. A B C D
B. Find x. 95 A. B. C. D. A B C D
C. Find x. 104 A. B. C. D. A B C D
Use Intersecting Secants and Tangents A. Find m QPS. Theorem 10. 13 Substitute and simplify. Answer: m QPS = 125
Use Intersecting Secants and Tangents B. Theorem 10. 13 Substitution Multiply each side by 2. Answer:
A. Find m FGI. 112. 5 A. B. C. D. A B C D
B. 162 A. B. C. D. A B C D
Use Tangents and Secants that Intersect Outside a Circle A. Theorem 10. 14 Substitution Multiply each side by 2.
Use Tangents and Secants that Intersect Outside a Circle Subtract 141 from each side. Multiply each side by – 1.
Use Tangents and Secants that Intersect Outside a Circle B. Theorem 10. 14 Substitution Multiply each side by 2.
Use Tangents and Secants that Intersect Outside a Circle Add 140 to each side.
A. 23 A. B. C. D. A B C D
B. 230 A. B. C. D. A B C D
Apply Properties of Intersecting Secants Theorem 10. 14 Substitution
Apply Properties of Intersecting Secants Multiply each side by 2. Subtract 96 from each side. Multiply each side by – 1.
40 A. B. C. D. A B C D
- Slides: 32