**Module 01: Geometry Foundations** **Activity 01.05: Geometry Foundations Activity** 1. **Instructions:** - Swing an arc that crosses line BC, and label the point of intersection. - Mark the intersection of the two arcs as point G. - Draw a line through point C and point G. 2. **Diagram Explanation:** The diagram shows a circle with its center labeled at point D. There is a vertical diameter AC and a horizontal diameter BD intersecting at the center D. Two arcs intersect at a point labeled G. The arcs are drawn from points on line BC, indicating a perpendicular bisector construction. There is also an arc centered at point B that intersects BC at point U. 3. **Question:** - What inscribed polygon is being constructed? Explain how you know. **Graphical Elements:** - The diagram illustrates the geometric construction of a perpendicular bisector or possibly the inscribed circle construction. This is inferred from the interception of arcs and the intersection point creation. **Module 01: Geometry Foundations** **01.05 Geometry Foundations Activity** You are given line segment \( \overline{AB} \) and point C. Construct a line parallel to \( \overline{AB} \) that passes through point C. ### Diagram Explanation: The image shows a geometric diagram with several lines and points labeled A, B, C, D, E, F, and G. Line \( \overline{AB} \) is intersected by lines through points C and other labeled points. ### Student A Steps: 1. Draw a line that intersects points B and C. 2. Draw a line through point C and point G. 3. Keep the compass at the same width, and place it on point C. 4. Keeping the compass at the same width, place it on point F. 5. Mark the intersection of the two arcs as point G. 6. Open the compass to the width between points D and E. 7. Place the compass on point B, and swing an arc. ### Student B Steps: 1. Draw a line that intersects points B and C. 2. Place the compass on point B, and draw an arc that crosses line \( \overline{AB} \) and line BC. Label the points D and E. 3. Keep the compass at the same width, and place it on point C. 4. Swing an arc that crosses line BC, and label the point F. 5. Open the compass to the width between points D and E. 6. Keeping the compass at the same width, place it on point F.

Module 01: Geometry Foundations Activity 01.05: Geometry Foundations Activity 1. Instructions: - Swing an arc that crosses line BC, and label the point of intersection. - Mark the intersection of the two arcs as point G. - Draw a line through point C and point G. 2. Diagram Explanation: The diagram shows a circle with its center labeled at point D. There is a vertical diameter AC and a horizontal diameter BD intersecting at the center D. Two arcs intersect at a point labeled G. The arcs are drawn from points on line BC, indicating a perpendicular bisector construction. There is also an arc centered at point B that intersects BC at point U. 3. Question: - What inscribed polygon is being constructed? Explain how you know. Graphical Elements: - The diagram illustrates the geometric construction of a perpendicular bisector or possibly the inscribed circle construction. This is inferred from the interception of arcs and the intersection point creation. Module 01: Geometry Foundations 01.05 Geometry Foundations Activity You are given line segment \( \overline{AB} \) and point C. Construct a line parallel to \( \overline{AB} \) that passes through point C. ### Diagram Explanation: The image shows a geometric diagram with several lines and points labeled A, B, C, D, E, F, and G. Line \( \overline{AB} \) is intersected by lines through points C and other labeled points. ### Student A Steps: 1. Draw a line that intersects points B and C. 2. Draw a line through point C and point G. 3. Keep the compass at the same width, and place it on point C. 4. Keeping the compass at the same width, place it on point F. 5. Mark the intersection of the two arcs as point G. 6. Open the compass to the width between points D and E. 7. Place the compass on point B, and swing an arc. ### Student B Steps: 1. Draw a line that intersects points B and C. 2. Place the compass on point B, and draw an arc that crosses line \( \overline{AB} \) and line BC. Label the points D and E. 3. Keep the compass at the same width, and place it on point C. 4. Swing an arc that crosses line BC, and label the point F. 5. Open the compass to the width between points D and E. 6. Keeping the compass at the same width, place it on point F.

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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