AnswersKY-Geometry B-CRSecants, Tangents, and Angles (Sec 10-5)

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

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

A
(a° + b°).
Option A
B
(a° – c°).
Option B
C
(b° + c°).
Option C
D
(a° – b°).
Option D
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.
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What are the measures of angles 1 and 2?

Answers:
m∠1 = °:50
m∠2 = °:130
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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
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BEAFJI✔ GJHJIH

A
BEA
B
FJI
C
✔ GJH
D
JIH
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reflexive property✔ substitution propertysymmetric propertytransitive property

A
reflexive property
B
✔ substitution property
C
symmetric property
D
transitive property

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