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1. The original coordinates of a figure are (1,2); (-3,2); (8,0); (0,-8). What are the new coordinates of a figure after S (4,8); (-12,8); (32,0); (0,-32) | |

2. The original coordinates of a figure are (1,2); (-3,2); (8,0); (0,-8). After a size transformation, the new coordinates are (5,10); (-15,10); (40,0); (0,-40). What was the factor of the size transformation? 5 | |

3. Triangle XYZ is shown on the Cartesian plane. Draw a similar triangle with a size transformation of 2. (-4,0); (4,0); (8,0)
| |

4. Draw a 4 x 4 square at the center of the Cartesian plane. Then perform a transformation of S The coordinates of the smaller square Multiply each of those numbers by 1.5. |

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## Related Resources

The various resources listed below are aligned to the same standard, (8G03) taken from the CCSM (Common Core Standards For Mathematics) as the Geometry Worksheet shown above.

*Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. *

### Example/Guidance

#### Similarity, Congruence and Transformations

### Worksheet

- Transformations (3-Page)
- Transformations: Vector Translations
- Transformations: Rotations & Reflections
- Transformations: Calculating Coordinates
- Similar Figures

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*

- Congruent Triangles: With Transformations (From Example/Guidance)
- How To Find Missing Angles (From Example/Guidance)
- Similarity in Triangles (From Example/Guidance)
- Congruent Worksheet (1 of 3) (From Worksheet)
- Congruent Worksheet (2 of 3) (From Worksheet)
- Congruent Worksheet (3 of 3) (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)