True or False: A transformation is an operation that maps a an image onto a pre-image. Problem of the Day.

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Presentation transcript:

True or False: A transformation is an operation that maps a an image onto a pre-image. Problem of the Day

Section 9-2 Translations

Then Now Objectives You drew reflections. Draw translations. Draw translations in the coordinate plane.

Common Core State Standards Content Standards G.CO.4 – Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. G.CO.5 – Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure. Specify a sequence of transformations that will carry a given figure onto another. Mathematical Practices 4) Model with mathematics. 5) Use appropriate tools strategically. Common Core State Standards

A translation or slide is a transformation that moves all points of the original figure the same distance in the same direction. Vocabulary

Graph the figure and its image along the given vector: Triangle EFGH with vertices E(-7, -1), F(-4, -4), and G(-3, -1); <2, 5> Example 2

Graph the figure and its image along the given vector: Square JKLM with vertices J(3, 4), K(5, 2), L(7, 4), and M(5, 6); <-3, -4> Example 2

Graph the figure and its image along the given vector: Triangle ABC with vertices A(2, 6), B(1, 1), and C(7, 5); <-4, -1> Example 2

Graph the figure and its image along the given vector: Quadrilateral QRST with vertices Q(-8, - 2), R(-9, -5), S(-4, -7), and T(-4, -2); <7, 1> Example 2

A coin is filmed using stop-motion animation so that it appears to move. Describe the translation from A to B in function notation and in words. Describe the translation from A to C using a translation vector. Example 3

Find the translation that moves the figure on the coordinate plane in function notation and using a translation vector. Figure 1 – Figure 2 Figure 2 – Figure 3 Figure 3 – Figure 4 Example 3

p.635 #5, 7, 15, 17, 19, 20, 23, 24 Homework