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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

Transformations Homework: Worksheet 7.3 Problems #

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

Transformations Homework: Worksheet 7.4 Problems #