1. secant
Vocabulary

2. Concept

3. A. Find x. Theorem 10.12 Substitution Simplify. Answer: x = 82
Use Intersecting Chords or Secants
A. Find x.
Theorem 10.12
Substitution
Simplify.
Answer: x = 82
Example 1

4. B. Find x. Step 1 Find mVZW. Theorem 10.12 Substitution Simplify.
Use Intersecting Chords or Secants
B. Find x.
Step 1 Find mVZW.
Theorem 10.12
Substitution
Simplify.
Example 1

5. mWZX = 180 – mVZW Definition of supplementary angles
Use Intersecting Chords or Secants
Step 2 Find mWZX.
mWZX = 180 – mVZW Definition of supplementary angles
x = 180 – 79 Substitution
x = 101 Simplify.
Answer: x = 101
Example 1

6. Subtract 25 from each side.
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
Example 1

7. A. Find x.
A. 92
B. 95
C. 98
D. 104
Example 1

8. B. Find x.
A. 92
B. 95
C. 97
D. 102
Example 1

9. C. Find x.
A. 96
B. 99
C. 101
D. 104
Example 1

10. Concept

11. Substitute and simplify.
Use Intersecting Secants and Tangents
A. Find mQPS.
Theorem 10.13
Substitute and simplify.
Answer: mQPS = 125
Example 2

12. B. Theorem 10.13 Substitution Multiply each side by 2. Answer:
Use Intersecting Secants and Tangents B.
Theorem 10.13
Substitution
Multiply each side by 2.
Answer:
Example 2

13. A. Find mFGI.
A. 98
B. 108 C D
Example 2

14. B.
A. 99 B
C. 162
D. 198
Example 2

15. Concept

16. A. Theorem 10.14 Substitution Multiply each side by 2.
Use Tangents and Secants that Intersect Outside a Circle A.
Theorem 10.14
Substitution
Multiply each side by 2.
Example 3

17. Subtract 141 from each side.
Use Tangents and Secants that Intersect Outside a Circle
Subtract 141 from each side.
Multiply each side by –1.
Example 3

18. B. Theorem 10.14 Substitution Multiply each side by 2.
Use Tangents and Secants that Intersect Outside a Circle B.
Theorem 10.14
Substitution
Multiply each side by 2.
Example 3

19. Use Tangents and Secants that Intersect Outside a Circle
Add 140 to each side.
Example 3

20. A.
A. 23
B. 26
C. 29
D. 32
Example 3

21. B.
A. 194
B. 202
C. 210
D. 230
Example 3

22. Theorem 10.14 Substitution Apply Properties of Intersecting Secants
Example 4

23. Subtract 96 from each side.
Apply Properties of Intersecting Secants
Multiply each side by 2.
Subtract 96 from each side.
Multiply each side by –1.
Example 4

24. A. 25
B. 35
C. 40
D. 45
Example 4

25. Concept