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Reflections Activity Part 2 Answer Key

Reflections Activity Part 2 Answer Key
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2015-07-08 05:33
PolygonTransformationGeometric Construction
In collections Reflections Investigation Activity
This example demonstrates how to perform geometric reflections using GeoGebra, involving core math concepts like reflection, polygons, segments, and midpoints. Key construction steps include using commands such as Polygon, Segment, Midpoint, Line, and Mirror to construct shapes like triangles and their reflected images. Suitable for middle school and above students to learn and understand geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Segment(A, A') → d
  3. Segment(B, B') → e
  4. Segment(C, C') → f
  5. Midpoint(d) → D
  6. Midpoint(e) → E
  7. Midpoint(f) → F
  8. Line(D, E) → g
  9. Mirror(A, g) → A'_1
  10. Mirror(B, g) → B'_1
  11. Mirror(C, g) → C'_1
  12. Polygon(A'_1, B'_1, C'_1) → poly1', c'_1, a'_1, b'_1

AI Drawing Prompt Reference

Draw a triangle. Then draw three segments connecting each vertex of the triangle to a corresponding point outside. Find the midpoint of each segment, and draw a line through two of these midpoints. This line is the axis of reflection. Reflect the three original vertices across this line to get three new points, and connect them to form a second triangle. The final figure shows two triangles symmetric about the line, with the three connecting segments and their midpoints visible.
The prompt above was compiled from the original drawing commands and is for reference only.