Central Angles

Question 1

47✔ 5053100

Revolt · Accepted Answer

50; Selection 1: 50; Selection 2: 130

Question 2

47100✔ 130 133

Revolt · Accepted Answer

130

Question 3

reflexive property✔ substitution propertysymmetric propertytransitive property

Revolt · Accepted Answer

substitution property

Question 4

Which formula would be used to find the measure of angle 1?

Revolt · Accepted Answer

(a° – b°).

Question 5

What is the measure of angle ABC?

Revolt · Accepted Answer

42.5°

Question 6

central angles theorem✔ inscribed angle theoremangle formed by secants or tangents theoremangle formed by two chords theorem

Revolt · Accepted Answer

inscribed angle theorem; Selection 1: inscribed angle theorem; Selection 2: GJH; Selection 3: substitution property

Question 7

What is the measure of angle AOC?

Revolt · Accepted Answer

66°

Question 8

Question 10

Revolt · Accepted Answer

116556

Question 9

A satellite views the Earth at an angle of 20°. What is the arc measure, x, that the satellite can see?

Revolt · Accepted Answer

160°

Question 10

Two tangents each intersect a circle at opposite endpoints of the same diameter. Is it possible for the two tangents to intersect each other outside the circle? Explain why or why not, using the information you learned in this lesson.

Revolt · Accepted Answer

No, it is not possible for the two tangents to intersect. By definition, a tangent is perpendicular to the radius at the point of tangency. Since the tangents are at opposite endpoints of the same diameter, they are both perpendicular to the same line (the diameter). Therefore, the two tangent lines are parallel and will never intersect. Alternatively, the measure of the angle formed by two tangents is half the difference of the intercepted arcs. If the endpoints are a diameter, both arcs are 180 degrees, and half of (180 180) is 0, meaning no angle or intersection is formed.

Central Angles Answers

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