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GeoGebraClasse GeoGebra

Create and Prove Congruence

Rigid Motions on the Coordinate Plane

Create a congruent copy of a polygon using a written sequence of rigid motions, record coordinates at every step, and verify congruence using measurements.
Part A — Choose a Pre-image 1. Choose one polygonal feature from the graph below.
Image

2. Record the pre-image coordinates clearly below. Vertex Coordinates:

3. Find the image on the graph for your chosen pre-image.
Image

Describe a congruence transformation that maps the pre-image onto the image.

4. Record the coordinates of the transformed image.

Verify Congruence Choose one method below and show your work. ☐ Side Length Verification:

  • Pre-image side: ______ = ______ units
  • Image side: ______ = ______ units
☐ Angle Verification
  • Pre-image angle: ______ = ______°
  • Image angle: ______ = ______°