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Math II: Unit 1: Transformations

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Presentation on theme: "Math II: Unit 1: Transformations"— Presentation transcript:

1 Math II: Unit 1: Transformations
Lesson 1: Translations

2 Transformations change the position, shape or size of a figure.
Two Types of Transformations: Rigid Transformations do not affect length, area, perimeter, or angle measure of a geometric shape. Similarity Transformations do affect the length, area, perimeter, and/or the angle measure of a geometric shape. Pre-image vs Image: A pre-image is the original figure before any transformation has occurred. An image is the resulting figure after a pre-image has been transformed.

3 Translations: a transformation where a figure slides without turning or changing size and is determined by distance and direction. A B C D E A' B' C' D' E' Pre-image Image

4 Describe the translation of the pre-image to the image.

5 Describe the translation of the pre-image to the image.

6 Vector: Function Rule: A B C A' B' C'

7 Vector: Function Rule: A B C A' B' C'

8 Translations are what type of transformation?
Do you think the length, area, perimeter, or angle measures have changed during a translation? Translations are what type of transformation? A B C A' B' C'

9 Locate the image of ∆TOP with vertices
Translated by the vector <4, -2>

10 (x, y)  (x – 3, y - 4) Locate the image of ∆TOP with vertices
Translated by the function rule (x, y)  (x – 3, y - 4)


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