Concept explainers
Prove that arcADC is semicircle if and only if
Explanation of Solution
Given :
Calculation:
Given : arcADC is semicircle
To Prove :
Proof :
arcADC is semicircle
So,
By Inscribed
Hence proved.
Conversly,
Given :
To Prove : arcADC is semicircle
Proof :
By Inscribed Angle Theorem, since the angle ABC is inscribed by arc ADC , so,
Hence , arcADC is semicircle.
So, arcADC is semicircle if and only if
Hence proved.
Chapter 10 Solutions
Geometry, Student Edition
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