use intersecting chords or secants a. find x. answer: theorem 10.12 substitution simplify
TRANSCRIPT
Secants, Tangents and
Angle Measures
Section 10.6
KNOW
THIS
PROOF
Use Intersecting Chords or Secants
A. Find x.
Answer:
Theorem 10.12
Substitution
Simplify.
Use Intersecting Chords or Secants
A. Find x.
Answer: x = 82
Theorem 10.12
Substitution
Simplify.
Use Intersecting Chords or Secants
B. Find x.
Theorem 10.12
Substitution
Simplify.
Step 1 Find mVZW.
Use Intersecting Chords or Secants
Step 2 Find mWZX.
mWZX = 180 – mVZW Definition of supplementary angles
x = 180 – 79 Substitution
x = 101 Simplify.
Answer:
Use Intersecting Chords or Secants
Step 2 Find mWZX.
mWZX = 180 – mVZW Definition of supplementary angles
x = 180 – 79 Substitution
x = 101 Simplify.
Answer: x = 101
C. Find x.
Theorem 10.12
Substitution
Multiply each side by 2.
Use Intersecting Chords or Secants
Subtract 25 from each side.
Answer:
C. Find x.
Theorem 10.12
Substitution
Multiply each side by 2.
Use Intersecting Chords or Secants
Subtract 25 from each side.
Answer: x = 95
A. 92
B. 95
C. 98
D. 104
A. Find x.
A. 92
B. 95
C. 98
D. 104
A. Find x.
A. 92
B. 95
C. 97
D. 102
B. Find x.
A. 92
B. 95
C. 97
D. 102
B. Find x.
A. 96
B. 99
C. 101
D. 104
C. Find x.
A. 96
B. 99
C. 101
D. 104
C. Find x.
Use Intersecting Secants and Tangents
A. Find mQPS.
Theorem 10.13
Substitute and simplify.
Answer:
Use Intersecting Secants and Tangents
A. Find mQPS.
Theorem 10.13
Substitute and simplify.
Answer: mQPS = 125
B.
Theorem 10.13
Use Intersecting Secants and Tangents
Substitution
Multiply each side by 2.
Answer:
B.
Theorem 10.13
Use Intersecting Secants and Tangents
Substitution
Multiply each side by 2.
Answer:
A. 98
B. 108
C. 112.5
D. 118.5
A. Find mFGI.
A. 98
B. 108
C. 112.5
D. 118.5
A. Find mFGI.
A. 99
B. 148.5
C. 162
D. 198
B.
A. 99
B. 148.5
C. 162
D. 198
B.
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
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.
Use Tangents and Secants that Intersect Outside a Circle
Add 140 to each side.
A. 23
B. 26
C. 29
D. 32
A.
A. 23
B. 26
C. 29
D. 32
A.
A. 194
B. 202
C. 210
D. 230
B.
A. 194
B. 202
C. 210
D. 230
B.
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.
Apply Properties of Intersecting Secants
Multiply each side by 2.
Subtract 96 from each side.
Multiply each side by –1.
A. 25
B. 35
C. 40
D. 45
A. 25
B. 35
C. 40
D. 45