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|EOC Review: Unit 1 |Name: ___________________________ |( |
|Transformations (CW) |Period: ______ Date: _____________ | |
1. The rule (x, y) ( (x + 8, y – 12) is applied to a figure.
| |a. |Find the image of the point F (10, 3). |b. |Find the pre-image of the point G’ (10, 3). |
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DRAW the image and write an algebraic RULE for the transformation.
Don’t forget to LABEL the vertices of the image!
|2. |Translate left 2 and down 7. |3. |Reflect across the x-axis. |
| |[pic] | |[pic] |
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| |(x, y) ( _________________________ | |(x, y) ( _________________________ |
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|4. |Reflect across the line y = -x. |5. |Rotate 180° around the origin. |
| |[pic] | |[pic] |
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| |(x, y) ( _________________________ | |(x, y) ( _________________________ |
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|6. |Rotate 90° clockwise around the origin. |7. |Dilate from the origin by a scale factor of [pic] |
| |[pic] | |[pic] |
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| |(x, y) ( _________________________ | |(x, y) ( _________________________ |
DRAW the image. Don’t forget to LABEL the vertices of the image!
|8. |Reflect across the line y = 1. |9. |Rotate 90° clockwise around the origin, |
| | | |then reflect ΔJ’K’L’ across the x-axis. |
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| |[pic] | |[pic] |
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Describe (in words) the transformation that maps ΔABC onto ΔA’B’C’.
Make sure to fully describe the transformation (state the center of rotation, etc.)
|10. |[pic] | | |
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|11. |[pic] |Fill in the blanks to describe transformations that would map |
| | |this rectangle onto itself: |
| | |a. Reflect across the line y = ______ |
| | |b. Reflect across the line x = ______ |
| | |c. Rotate _____° around the point __________ |
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|12. |[pic] |a. Draw the result of the following transformations: |
| | |Reflect ΔABC across the x-axis, then translate ΔA’B’C’ up 2 units. |
| | |(You are only required to draw the final triangle: ΔA’’B’’C’’ ) |
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| | |b. Describe a single transformation that maps ΔABC onto ΔA’’B’’C’’. |
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