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Select all steps to produce the diagram A. Construct a circle centered at C. B. Construct a circle centered at A. C. Construct a circle centered at B. D. Label the intersection points of the circles C and D. E. Draw the line through points C and D. F. Draw the line through points A and

Select all steps to produce the diagram A. Construct a circle centered at C. B. Construct a circle centered at A. C. Construct a circle centered at B. D. Label the intersection points of the circles C and D. E. Draw the line through points C and D. F. Draw the line through points A and

Elementary Geometry For College Students, 7e
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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Select all steps to produce the diagram

A. Construct a circle centered at C.

B. Construct a circle centered at A.

C. Construct a circle centered at B.

D. Label the intersection points of the circles C and D.

E. Draw the line through points C and D.

F. Draw the line through points A and B.

In the image, there are two intersecting circles. Let's break down the diagram: 1. **Circles**: - Two circles are drawn intersecting each other. Both circles have equal radii. 2. **Points**: - **Point A** and **Point B**: They are the centers of the two circles. - **Point C**: This is one of the intersection points of the circles above the horizontal axis. - **Point D**: This is the other intersection point of the circles below the horizontal axis. 3. **Line**: - A vertical line passes through the intersection points (C and D) and the centers of the circles. This diagram is likely illustrating the geometric principle where two circles intersect at two points, and it often appears in problems related to geometry and constructions such as finding the perpendicular bisector of a segment or the construction of Euler's line.
Transcribed Image Text:In the image, there are two intersecting circles. Let's break down the diagram: 1. **Circles**: - Two circles are drawn intersecting each other. Both circles have equal radii. 2. **Points**: - **Point A** and **Point B**: They are the centers of the two circles. - **Point C**: This is one of the intersection points of the circles above the horizontal axis. - **Point D**: This is the other intersection point of the circles below the horizontal axis. 3. **Line**: - A vertical line passes through the intersection points (C and D) and the centers of the circles. This diagram is likely illustrating the geometric principle where two circles intersect at two points, and it often appears in problems related to geometry and constructions such as finding the perpendicular bisector of a segment or the construction of Euler's line.
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