Write a plan for a coordinate proof of the following statement. The length of a diameter of a circle is twice that of its radius. Choose the correct answer below. O A. Draw a circle centered at O(a,a) with the point A(a,0), where the circle intersects the positive x-axis and the point B(0,a), where the circle intersects the positive y-axis. Then find the length of OA, and show that it is half the distance as the length from the origin to the center. O B. Draw a circle centered at O(a,a) with the point A(a,0), where the circle intersects the positive x-axis and the point B(0,a), where the circle intersects the positive y-axis. Then find length of OA and OB, and show that OB = OA. O C. Draw a circle centered at the origin with point A(a,0), where the circle intersects the positive x-axis and the point B(0,a), where the circle intersects the positive y-axis. Then find length of OA and AB, and show that AB = 2(OA). O D. Draw a circle centered at the origin with point A(a,0), where the circle intersects the positive x-axis and the point B(- a,0), where the circle intersects the negative x-axis. Then find length of OA and AB, and show that AB = 2(OA).
Write a plan for a coordinate proof of the following statement. The length of a diameter of a circle is twice that of its radius. Choose the correct answer below. O A. Draw a circle centered at O(a,a) with the point A(a,0), where the circle intersects the positive x-axis and the point B(0,a), where the circle intersects the positive y-axis. Then find the length of OA, and show that it is half the distance as the length from the origin to the center. O B. Draw a circle centered at O(a,a) with the point A(a,0), where the circle intersects the positive x-axis and the point B(0,a), where the circle intersects the positive y-axis. Then find length of OA and OB, and show that OB = OA. O C. Draw a circle centered at the origin with point A(a,0), where the circle intersects the positive x-axis and the point B(0,a), where the circle intersects the positive y-axis. Then find length of OA and AB, and show that AB = 2(OA). O D. Draw a circle centered at the origin with point A(a,0), where the circle intersects the positive x-axis and the point B(- a,0), where the circle intersects the negative x-axis. Then find length of OA and AB, and show that AB = 2(OA).
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![Write a plan for a coordinate proof of the following statement.
The length of a diameter of a circle is twice that of its radius.
Choose the correct answer below,
O A. Draw a circle centered at O(a,a) with the point A(a,0), where the circle intersects the positive x-axis and the point B(0,a), where the circle intersects the
positive y-axis. Then find the length of OA, and show that it is half the distance as the length from the origin to the center.
O B. Draw a circle centered at O(a,a) with the point A(a,0), where the circle intersects the positive x-axis and the point B(0,a), where the circle intersects the
positive y-axis. Then find length of OA and OB, and show that OB = OA.
O C. Draw a circle centered at the origin with point A(a,0), where the circle intersects the positive x-axis and the point B(0,a), where the circle intersects the
positive y-axis. Then find length of OA and AB, and show that AB = 2(OA).
O D. Draw a circle centered at the origin with point A(a,0), where the circle intersects the positive x-axis and the point B(- a,0), where the circle intersects the
negative x-axis. Then find length of OA and AB, and show that AB = 2(OA).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2e2a61d-097f-4b80-a313-503ba4bc52ed%2F4c4081ef-f42b-454c-bf98-1f32baea54ff%2Fe39dq0q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Write a plan for a coordinate proof of the following statement.
The length of a diameter of a circle is twice that of its radius.
Choose the correct answer below,
O A. Draw a circle centered at O(a,a) with the point A(a,0), where the circle intersects the positive x-axis and the point B(0,a), where the circle intersects the
positive y-axis. Then find the length of OA, and show that it is half the distance as the length from the origin to the center.
O B. Draw a circle centered at O(a,a) with the point A(a,0), where the circle intersects the positive x-axis and the point B(0,a), where the circle intersects the
positive y-axis. Then find length of OA and OB, and show that OB = OA.
O C. Draw a circle centered at the origin with point A(a,0), where the circle intersects the positive x-axis and the point B(0,a), where the circle intersects the
positive y-axis. Then find length of OA and AB, and show that AB = 2(OA).
O D. Draw a circle centered at the origin with point A(a,0), where the circle intersects the positive x-axis and the point B(- a,0), where the circle intersects the
negative x-axis. Then find length of OA and AB, and show that AB = 2(OA).
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