Secants, Tangents, and Angles (Sec 10-5) Answers…

1

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

A

(a° + b°).

B

(a° – c°).

C

(b° + c°).

D

(a° – b°).

2

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Sample Response: No, the tangents cannot intersect outside the circle. When tangents intersect outside a circle, the measure of the angle they form is one half the difference of the intercepted arcs. Since the tangents are at the endpoints of the same diameter, both intercepted arcs would have to measure 180 degrees. This means the angle would have a measure of one half times the difference of 180 and 180, which is 0. An angle with a zero degree measure could not intersect a circle on opposite s

A

When two tangents intersect outside a circle, the angle formed has a measure that is one half the difference of the intercepted arcs.

B

The measures of the intercepted arcs are both 180 degrees.

C

One half times (180 – 180) = 0.

116544

What are the measures of angles 1 and 2?

Answers:

m∠1 = °:50

m∠2 = °:130

116547

Question text not available

Answers:

Angles JHI and GJH are inscribed angles. We have that m∠JHI = b and m∠GJH = a by the . Angle JHI is an exterior angle of triangle . Because the measure of an exterior angle is equal to the sum of the:inscribed angle theorem

Angles JHI and GJH are inscribed angles. We have that m∠JHI = b and m∠GJH = a by the . Angle JHI is an exterior angle of triangle . Because the measure of an exterior angle is equal to the sum of the:GJH

Angles JHI and GJH are inscribed angles. We have that m∠JHI = b and m∠GJH = a by the . Angle JHI is an exterior angle of triangle . Because the measure of an exterior angle is equal to the sum of the:substitution property

116548

BEAFJI✔ GJHJIH

A

BEA

B

FJI

C

✔ GJH

D

JIH

116549

reflexive property✔ substitution propertysymmetric propertytransitive property

A

reflexive property

B

✔ substitution property

C

symmetric property

D

transitive property

116556

Question text not available

Answer:

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116557

What is the measure of angle ABC?

A

42.5°

B

67.5°

C

85°

D

135°

116558

Question text not available

Answer:

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116559

What is the measure of angle AOC?

A

42°

B

58°

C

66°

D

79°

116560

Question text not available

Answer:

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116561

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

A

40°

B

80°

C

160°

D

320°

116562

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.

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.

116563

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

Answers:

Angles JHI and GJH are inscribed angles. We have that m∠JHI = b and m∠GJH = a by the . Angle JHI is an exterior angle of triangle . Because the measure of an exterior angle is equal to the sum of the:inscribed angle theorem

Angles JHI and GJH are inscribed angles. We have that m∠JHI = b and m∠GJH = a by the . Angle JHI is an exterior angle of triangle . Because the measure of an exterior angle is equal to the sum of the:GJH

Angles JHI and GJH are inscribed angles. We have that m∠JHI = b and m∠GJH = a by the . Angle JHI is an exterior angle of triangle . Because the measure of an exterior angle is equal to the sum of the:substitution property

Secants, Tangents, and Angles (Sec 10-5) Answers

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