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| Use what you know about the effect of different types of rotations and reflections have on coordinates to answer the questions below. | |
| The coordinates of rectangle ABCD are:
(2,-2); (8,-2); (8,-5); (2,-5). What are the coordinates of rectangle A1B1C1D1 after a vector translation of (-6,7)?
( -4,5); (2,5); (2,2); (-4,2 ) |
The coordinates of Δ ABC are (-6,-2); (-6,-5); (-1,-5). What are the coordinates of Δ A1B1C1 after a 180° rotation around the origin?
(6,2); (6,5); (1,5 ) |
| The coordinates of rectangle ABCD are
(3,7); (6,7); (6,-3); (3,-3). What are the coordinates of rectangle A1B1C1D1 on a reflection over the y-axis?
(-3,7); (-6,7); (-6,-3); (-3,-3) |
The coordinates of Δ EFG are
(-3,2); (3,9); (9,2). What are the coordinates of Δ E1F1G1 on a reflection over the x-axis?
(-3,-2); (3,-9); (9,-2) |
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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
- Dilations (Size Transformations)
- 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)