AnswersMASTER COURSE GeometrySecants, Tangents, and Angles

Secants, Tangents, and Angles — Quiz Answers

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41
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In the diagram of circle cap o , what is the measure of angle ABC ?

A
108 degrees
B
120 degrees
C
27 degrees
D
54 degrees
42
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What is m frown set over SU ?

A
161 degrees
B
49 degrees
C
77 degrees
D
98 degrees
43

Which equation is correct regarding the measure of angle 1 ?

A
m angle 1 is equal to 1 half times open paren A minus c close paren
B
m angle 1 is equal to 1 half times open paren b minus d close paren
C
m angle 1 is equal to 1 half times open paren b plus d close paren
D
m angle 1 is equal to 1 half times open paren A plus c close paren
44

In the diagram of circle cap o , what is the measure of angle ABC ?

A
120 degrees
B
27 degrees
C
108 degrees
D
54 degrees
45

A secant and a tangent meet at a 90 degrees angle outside the circle. What must be the difference between the measures of the intercepted arcs?

A
90 degrees
B
270 degrees
C
45 degrees
D
180 degrees
46

Which equation is correct regarding the diagram of circle cap o ?

A
m angle XZY is equal to 1 half times open paren A plus b close paren
B
m angle XZY is equal to 1 half times open paren A minus b close paren
C
m angle XOY is equal to 1 half times open paren A plus b close paren
D
m angle XOY is equal to 1 half times open paren A minus b close paren
47

A secant and a tangent meet at a 90 degrees angle outside the circle. What must be the difference between the measures of the intercepted arcs?

A
270 degrees
B
90 degrees
C
45 degrees
D
180 degrees
48

Which equation is correct regarding the diagram of circle cap o ?

A
m angle XZY is equal to 1 half times open paren A minus b close paren
B
m angle XOY is equal to 1 half times open paren A minus b close paren
C
m angle XZY is equal to 1 half times open paren A plus b close paren
D
m angle XOY is equal to 1 half times open paren A plus b close paren
49

In the diagram of circle cap c , what is the measure of angle 1 ?

A
70 degrees
B
17 degrees
C
71 degrees
D
35 degrees
50

Which equation is correct regarding the measure of angle MNP ?

A
m angle MNP is equal to 1 half times open paren z plus y close paren
B
m angle MNP is equal to 1 half times open paren z minus y close paren
C
m angle MNP is equal to 1 half times open paren x minus y close paren
D
m angle MNP is equal to 1 half times open paren x plus y close paren
51

In the diagram of circle cap c , what is the measure of angle 1 ?

A
70 degrees
B
17 degrees
C
71 degrees
D
35 degrees
52

What is the measure of arc QS? Enter your answer in the box.

Answer:

120

53

In circle cap c , what is m frown set over FH ?

A
31 degrees
B
121 degrees
C
112 degrees
D
48 degrees
54

In circle cap o , what is m frown set over AE ?

A
84 degrees
B
96 degrees
C
168 degrees
D
120 degrees
55

What is m frown set over SU ?

A
49 degrees
B
77 degrees
C
98 degrees
D
161 degrees
56

Which equation is correct regarding the measure of angle 1 ?

A
m angle 1 is equal to 1 half times open paren A plus c close paren
B
m angle 1 is equal to 1 half times open paren b minus d close paren
C
m angle 1 is equal to 1 half times open paren b plus d close paren
D
m angle 1 is equal to 1 half times open paren A minus c close paren
57

Which statement is true regarding the diagram of circle cap p ?

A
The difference of z and y must be 1 half x .
B
The sum of y and z must be 2 x .
C
The difference of z and y must be 2 x .
D
The sum of y and z must be 1 half x .
58

Which equation can be used to solve for m angle 1 ?

A
m angle 1 is equal to 1 half times open paren A minus b close paren
B
m angle 1 is equal to 1 half times open paren c minus d close paren
C
m angle 1 is equal to 1 half times open paren A plus b close paren
D
m angle 1 is equal to 1 half times open paren c plus d close paren
59

Which equation can be used to solve for m angle 1 ?

A
m angle 1 is equal to 1 half times open paren c plus d close paren
B
m angle 1 is equal to 1 half times open paren A plus b close paren
C
m angle 1 is equal to 1 half times open paren c minus d close paren
D
m angle 1 is equal to 1 half times open paren A minus b close paren
60

Which statement is true regarding the diagram of circle cap p ?

A
The sum of y and z must be 2 x .
B
The sum of y and z must be 1 half x .
C
The difference of z and y must be 2 x .
D
The difference of z and y must be 1 half x .

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