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Translations and Reflections

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Presentation on theme: "Translations and Reflections"— Presentation transcript:

1 Translations and Reflections
Students will find and draw the image of a geometric shape under a translation and / or a reflection and find the area of both the original figure and its transformation.

2 Reflection

3 Translation

4 Reflection or Translation?

5 Reflection or Translation?

6 Reflection or Translation?

7 Reflections on the Coordinate Plane
Each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure. In other words, the line of reflection lies directly in the middle between the figure and its image.

8 Reflection over the x-axis
The reflection of the point (x,y) across the x-axis is the point (x,-y).

9 Reflection over the y-axis
The reflection of the point (x,y) across the y-axis is the point (-x,y).

10 Translations on the Coordinate Plane
Translations are a slide and do not change direction.

11 Ways to Represent Translations
Description: 7 units to the left and 3 units down. Mapping: (This is read: "the x and y coordinates will become x-7 and y-3". Notice that movement left and down is negative, while movement right and up is positive - just as it is on coordinate axes.)


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