7-7 Intro to Transformations Warm Up Course 3 7-7 Intro to Transformations Warm Up Determine if the following sets of points form a parallelogram. You may use graph paper. 1. (–3, 0), (1, 4), (6, 0), (2, –4) yes 2. (1, 2), (–2, 2), (–2, 1), (1, –2) no 3. (2, 3), (–3, 1), (1, –4), (6, –2) yes

Course 3 7-7 Transformations Standard(s): MCC8G1. Verify experimentally the properties of rotations, reflections, translations. EQ: What is the relationship between reflections, translations, and rotations? How are dilations different? transformation center of rotation image reflection translation dilation rotation center of dilation Word Wall

7-7 Transformations When you are on an amusement park ride, Course 3 7-7 Transformations When you are on an amusement park ride, you are undergoing a transformation. Ferris wheels and merry-go-rounds are rotations. Free fall rides and water slides are translations. Translations, rotations, and reflections are type of transformations.

Course 3 7-7 Transformations The resulting figure or image, of a translation, rotation or reflection is congruent to the original figure.

Additional Example 1: Identifying Transformations Course 3 7-7 Transformations Additional Example 1: Identifying Transformations Identify each as a translation, rotation, reflection, dilation, or none of these. A. B. reflection rotation A’ is read “A prime”. The point A is the image of point A. Reading Math

Additional Example 1: Identifying Transformations Course 3 7-7 Transformations Additional Example 1: Identifying Transformations Identify each as a translation, rotation, reflection, dilation, or none of these. C. D. dilation translation

7-7 Transformations Check It Out: Example 1 Course 3 7-7 Transformations Check It Out: Example 1 Identify each as a translation, rotation, reflection, dilation, or none of these. A. B. A B A’ B’ C’ A D C A’ B’ C’ D’ C B translation reflection

7-7 Transformations Check It Out: Example 1 Course 3 7-7 Transformations Check It Out: Example 1 Identify each as a translation, rotation, reflection, dilation, or none of these. E’ C. D. A’ F’ D’ A B B’ C’ F C D rotation none of these E

5-6 Dilations Your pupils are the black areas in the center of your eyes. When you go to the eye doctor, the doctor may dilate your pupils, which makes them larger. Translations, reflections, and rotations are transformations that do not change the size or shape of a figure. A dilation is a transformation that changes the size, but not the shape, of a figure. A dilation can enlarge or reduce a figure.

5-6 Dilations Every dilation has a fixed point that is the center of dilation. To find the center of dilation, draw a line that connects each pair of corresponding vertices. The lines intersect at one point. This point is the center of dilation.

5-6 Dilations Additional Example 1: Identifying Dilations Tell whether each transformation is a dilation. A. B. The transformation is not a dilation. The figure is distorted. The transformation is a dilation.

5-6 Dilations Additional Example 1: Identifying Dilations Tell whether each transformation is a dilation. D. C. The transformation is not a dilation. The figure is distorted. The transformation is a dilation.

5-6 Dilations Check It Out: Example 1 Tell whether each transformation is a dilation. B A C A' B' C' A. A B C B. A' B' C' The transformation is a dilation. The transformation is not a dilation. The figure is distorted.

5-6 Dilations Check It Out: Example 1 Tell whether each transformation is a dilation. D. A' B' C' A B C C. A' B' C' A B C The transformation is not a dilation. The figure is distorted. The transformation is a dilation.

7-7 Transformations Try this!!! Course 3 7-7 Transformations Try this!!! Given the coordinates for the vertices of each pair of quadrilaterals, determine whether each pair represents a translation, rotation, reflection, dilation, or none of these. 1. (2, 2), (4, 0), (3, 5), (6, 4) and (3, –1), (5, –3), (4, 2), (7, 1) translation 2. (2, 3), (5, 5), (1, –2), (5, –4) and (–2, 3), (–5, 5), (–1, –2), (–5, –4) reflection

7-7 Transformations Try this!!! Course 3 7-7 Transformations Try this!!! Given the coordinates for the vertices of each pair of quadrilaterals, determine whether each pair represents a translation, rotation, reflection, dilation, or none of these. 3. (1, 3), (–1, 2), (2, –3), (4, 0) and (1, –3), (–1, 2), (–2, 3), (–4, 0) none 4. (4, 1), (1, 2), (4, 5), (1, 5) and (–4, –1), (–1, –2), (–4, –5), (–1, –5) rotation

Homework Workbook pg. 53 #1-2 & pg. 37 # 1-2