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The image depicts two intersecting circles, each with a center on the horizontal axis. The intersection point of the two circles is labeled as point "I." **Key Features:** 1. **Circles:** - The left circle has its center horizontally aligned with point "G." - The right circle has its center horizontally aligned with point "H." - The two circles intersect at point "I," which is located on the horizontal and vertical axes. 2. **Points:** - **G:** A point located on the horizontal axis inside the left circle. - **H:** A point located on the horizontal axis inside the right circle. - **I:** The intersection point of the two circles, sitting on both the horizontal and vertical axes. - **J:** A point located on the circumference of the left circle but closer to the top. 3. **Axes:** - A horizontal line runs through the centers of the circles and through points G, H, and I. - A vertical line extends through point I, splitting the diagram into two symmetrical halves. This diagram is often used to illustrate geometric properties of intersecting circles, such as common chords, tangency, or the application of the perpendicular bisector theorem.

The image depicts two intersecting circles, each with a center on the horizontal axis. The intersection point of the two circles is labeled as point "I." **Key Features:** 1. **Circles:** - The left circle has its center horizontally aligned with point "G." - The right circle has its center horizontally aligned with point "H." - The two circles intersect at point "I," which is located on the horizontal and vertical axes. 2. **Points:** - **G:** A point located on the horizontal axis inside the left circle. - **H:** A point located on the horizontal axis inside the right circle. - **I:** The intersection point of the two circles, sitting on both the horizontal and vertical axes. - **J:** A point located on the circumference of the left circle but closer to the top. 3. **Axes:** - A horizontal line runs through the centers of the circles and through points G, H, and I. - A vertical line extends through point I, splitting the diagram into two symmetrical halves. This diagram is often used to illustrate geometric properties of intersecting circles, such as common chords, tangency, or the application of the perpendicular bisector theorem.

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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Hannah wanted to construct a line passing through J that is parallel to the line GH. Laena constructed the perpendicular bisector of GH and then drew line IJ.

True or fale: Line IJ must be parallel to line GH.

The image depicts two intersecting circles, each with a center on the horizontal axis. The intersection point of the two circles is labeled as point "I." **Key Features:** 1. **Circles:** - The left circle has its center horizontally aligned with point "G." - The right circle has its center horizontally aligned with point "H." - The two circles intersect at point "I," which is located on the horizontal and vertical axes. 2. **Points:** - **G:** A point located on the horizontal axis inside the left circle. - **H:** A point located on the horizontal axis inside the right circle. - **I:** The intersection point of the two circles, sitting on both the horizontal and vertical axes. - **J:** A point located on the circumference of the left circle but closer to the top. 3. **Axes:** - A horizontal line runs through the centers of the circles and through points G, H, and I. - A vertical line extends through point I, splitting the diagram into two symmetrical halves. This diagram is often used to illustrate geometric properties of intersecting circles, such as common chords, tangency, or the application of the perpendicular bisector theorem.
Transcribed Image Text:The image depicts two intersecting circles, each with a center on the horizontal axis. The intersection point of the two circles is labeled as point "I." **Key Features:** 1. **Circles:** - The left circle has its center horizontally aligned with point "G." - The right circle has its center horizontally aligned with point "H." - The two circles intersect at point "I," which is located on the horizontal and vertical axes. 2. **Points:** - **G:** A point located on the horizontal axis inside the left circle. - **H:** A point located on the horizontal axis inside the right circle. - **I:** The intersection point of the two circles, sitting on both the horizontal and vertical axes. - **J:** A point located on the circumference of the left circle but closer to the top. 3. **Axes:** - A horizontal line runs through the centers of the circles and through points G, H, and I. - A vertical line extends through point I, splitting the diagram into two symmetrical halves. This diagram is often used to illustrate geometric properties of intersecting circles, such as common chords, tangency, or the application of the perpendicular bisector theorem.
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