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Unit 7: Transformations

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1 Unit 7: Transformations
Lesson: Translations, Reflections, & Rotations

2 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

3 Transformations A type of transformation in which a figure is turned about a fixed point, called the center of rotation. The point in a rotation around which the image spins The number of degrees that a rotation spins about the center A figure in the plane has rotational symmetry if the figure can be mapped onto itself by a rotation of 180° or less. Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

4 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

5 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

6 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

7 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

8 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

9 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

10 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

11 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

12 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

13 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

14 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

15 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

16 Transformations Homework: Worksheet 7.3 Problems #

17 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

18 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

19 Transformations A type of transformation that maps every two points P and Q in the plane to points P’ and Q’, so that the following two properties are true. 1) PP’ = QQ’ and 2) PP’|| QQ” or PP’ and QQ’ are collinear. A quantity that has both direction and magnitude, and is represented by an arrow drawn between two points. The starting point of a vector The ending point of a vector The form of a vector that combines the horizontal and vertical components of the vector. Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

20 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

21 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

22 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

23 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

24 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

25 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

26 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

27 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

28 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

29 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

30 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.

31 Transformations Goals: To identify and apply the three types of rigid transformations known as isometries or congruence mappings. Essential Understandings: You can change the position of a figure without changing its shape or size by using a translation, a rotation, or a reflection.