Targets
- 6A. Perform a dilation with given center and scale factor on a figure in the coordinate plane
- 6B. Verify the characteristics of a dilation:
- For instance, when a slide passes through the center of dilation, the side and its image lie on the same line
- Corresponding sides of the pre-image and image are parallel
- A side length of the image is equal to the scale factor multiplied by the corresponding side length of the pre-image
- 6C. Define similarity using rigid motion and dilation
- 6D. Identify corresponding sides and corresponding angles of similar triangles by demonstrating that in a pair of similar triangles, corresponding angles are congruent
- 6E. Determine that two figures are similar by verifying that angle measure is preserved and corresponding sides are proportional
- 6F. Justify and conclude that AA similarity is a sufficient condition for two triangles to be similar
- 6G. Use theorems, postulates, or definitions to prove theorems about triangles including:
- A line parallel to one side of a triangle divides the other two proportionally
- If a line divides two sides of a triangle proportionally, then it is parallel to the third side
- Using triangle congruence and triangle similarity to solve problems and prove relationships in geometric figures
Essential Questions
- What does it mean for two figures to be similar?
- How can properties of circles, polygons, lines, and angles be useful when solving geometric problems?
- In what ways can congruence be useful?
Class Notes
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Important Files
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