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
icon
Related questions
Question
Geometry Help
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).
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).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Inequality
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning