3. Given circle O with secants QR and QS Prove: mROS - m.BA PROOF STATEMENT REASON 1. Draw diameter QC 1. Two points determine a line 2. mz RQC % RC mz SQC - % cs 3. m. RQC+ m SQC = % miRC +CS ) 3. Addition Property of Equality 2. 13) (3] 4. mz RQS = % BS A. an inscribed angle is equal to one-half its intercepted arc. B. arcs of a cirde is one - half its interior angles. C. ail arca of a circle are equal. D. inscribed angles are congruent to its intercepted arcs.
3. Given circle O with secants QR and QS Prove: mROS - m.BA PROOF STATEMENT REASON 1. Draw diameter QC 1. Two points determine a line 2. mz RQC % RC mz SQC - % cs 3. m. RQC+ m SQC = % miRC +CS ) 3. Addition Property of Equality 2. 13) (3] 4. mz RQS = % BS A. an inscribed angle is equal to one-half its intercepted arc. B. arcs of a cirde is one - half its interior angles. C. ail arca of a circle are equal. D. inscribed angles are congruent to its intercepted arcs.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![3. Given circle O with secants QR and QS
Prove: meROS - % mRS
4. Given circle O with secants QR and QS
Prove: mROS - % mRS
PROOF
PROOF
STATEMENT
REASON
STATEMENT
REASON
1. Draw diameter QC
1. Two points determine a line
1. Draw diameter QC
1. Two points determine a line
2. mz RQC -% RC
mz SQC - % cs
3. mz RQC+ mg SọC - % m[RC +CS)
2.
13)
2. mz RQC = % RC
mz SQC - % Cs
3. m. RQC+ m. SQC = % mIRC +cs) 3. Addition Property of Equality
13]
3. Addition Property of Equality
4. mz RQS = % mRS
(4)
4. me RQS = % mRS
14)
A.an inscribed angle is equal to one-half its intercepted arc.
B. arcs of a circle is one - half its interior angles.
C. all arcs of a circle are equal.
D. inscribed angles are congruent to its intercepted arcs.
А. СРСТС
B. Subtraction Property of Equality
C. Addition Property of Equality
D. Substitution
10. Which of the following statements is true?
11. Which of the following statements is a Postulate?
A. If two tangents intersect in the exterior of a circle, then the measure of
the angle formed is one-half the difference of the measures of the
A. If a line is tangent to a circle, then it is perpendicular to the radius drawn
to the point of tangency.
intercepted arcs.
B.If two secant lines intersect inside the circle, the product of the lengths of
segments formed inside the circle are equal.
C.At a given point on a circle, one and only one can be drawn that is tangent
to the circle.
B. An external secant segment is the part of a secant segment that is
outside of a circle.
C. A common tangent is a line or a segment or a ray that is tangent to no
two circles in the same plane.
D. All of the above.
D.All of the above.
13. Miko is 15 meters away from the center of a quarantine facility. If the
diameter of the circular quarantine facility for COVID -19 patient is 18
meters and a path walk through Miko is tangent to the entrance of the
facility. How far is he from the entrance of the facility?
A. 10 m
В. 12 m
С. 14m
D. 16 m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffdb889ac-1924-4266-8203-6d422ccdb8e0%2Fffb83bca-6d5e-4ccf-adb4-789eec2143cc%2F1a94w09_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Given circle O with secants QR and QS
Prove: meROS - % mRS
4. Given circle O with secants QR and QS
Prove: mROS - % mRS
PROOF
PROOF
STATEMENT
REASON
STATEMENT
REASON
1. Draw diameter QC
1. Two points determine a line
1. Draw diameter QC
1. Two points determine a line
2. mz RQC -% RC
mz SQC - % cs
3. mz RQC+ mg SọC - % m[RC +CS)
2.
13)
2. mz RQC = % RC
mz SQC - % Cs
3. m. RQC+ m. SQC = % mIRC +cs) 3. Addition Property of Equality
13]
3. Addition Property of Equality
4. mz RQS = % mRS
(4)
4. me RQS = % mRS
14)
A.an inscribed angle is equal to one-half its intercepted arc.
B. arcs of a circle is one - half its interior angles.
C. all arcs of a circle are equal.
D. inscribed angles are congruent to its intercepted arcs.
А. СРСТС
B. Subtraction Property of Equality
C. Addition Property of Equality
D. Substitution
10. Which of the following statements is true?
11. Which of the following statements is a Postulate?
A. If two tangents intersect in the exterior of a circle, then the measure of
the angle formed is one-half the difference of the measures of the
A. If a line is tangent to a circle, then it is perpendicular to the radius drawn
to the point of tangency.
intercepted arcs.
B.If two secant lines intersect inside the circle, the product of the lengths of
segments formed inside the circle are equal.
C.At a given point on a circle, one and only one can be drawn that is tangent
to the circle.
B. An external secant segment is the part of a secant segment that is
outside of a circle.
C. A common tangent is a line or a segment or a ray that is tangent to no
two circles in the same plane.
D. All of the above.
D.All of the above.
13. Miko is 15 meters away from the center of a quarantine facility. If the
diameter of the circular quarantine facility for COVID -19 patient is 18
meters and a path walk through Miko is tangent to the entrance of the
facility. How far is he from the entrance of the facility?
A. 10 m
В. 12 m
С. 14m
D. 16 m
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