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1.Think of your neighborhood. What congruent figures do you see? |
Possible examples include street signs, windows, car tires, and lawns. |
2. What transformation would map your right shoe onto your left shoe? Explain. |
A reflection would map your right shoe on your left shoe because your right shoe is a mirror image of your left shoe. They would not fit both your feet if one shoe was not a reflection of the other. |
3.Explain why a car driving straight is a different transformation than a car turning a corner? |
The car driving straight is a translation and the car turning the corner includes a rotation. |
4. Think of the transformations that occur in sports. Name sports where athletes make reflections, rotations, and translations. |
Reflection: Scrimmage line on a football field, partners facing each other in dance. |
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Related Resources
The various resources listed below are aligned to the same standard, (8G02) taken from the CCSM (Common Core Standards For Mathematics) as the Geometry Worksheet shown above.
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
Example/Guidance
Similarity, Congruence and Transformations
Worksheet
Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:
Understand congruence and similarity using physical models, transparencies, or geometry software
- Congruence & Similarity: Dilations (From Example/Guidance)
- How To Find Missing Angles (From Example/Guidance)
- Similarity in Triangles (From Example/Guidance)
- Transformations & Coordinates (From Example/Guidance)
- Transformations (3-Page) (From Worksheet)
- Transformations: Vector Translations (From Worksheet)
- Transformations: Rotations & Reflections (From Worksheet)
- Transformations: Calculating Coordinates (From Worksheet)
- Similar Figures (From Worksheet)
- Similar Triangles (From Worksheet)
- Missing Angles (3-Page) (From Worksheet)
- 180° in a Triangle Activity (2-Page Cutting Out Activity) (From Worksheet)
- Finding Missing Angles (From Worksheet)
- 360° in a Quadrilateral Activity (Activity: Cutting & Rearranging Corners) (From Worksheet)
- Similar Triangles (1 of 2) e.g. calculating scale factors and dimensions (From Worksheet)
- Similar Triangles (2 of 2) (From Worksheet)
- Dilations (Size Transformations) (From Worksheet)
- Similar Figures (From Worksheet)