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Translations are best introduced in the coordinate plane. Example Consider ∆ABC below with vertices (2,1), (4,1), and (4,5)AB C. 6 4 2-2-5 5 A C B Properties of Translations If a figure is translated: 1. The orientation of the image is the same as that of the pre-image. 2. The image is congruent to the pre-image. (Therefore, a translation is a
You will be able to graph translations on the coordinate plane. Warm-Up - Answers. What Is a Transformation/ Translation? Translations are a type of transformation. Transformations take an original geometric figure, the PREIMAGE, and transform it through translation, reflection, rotation, or dilatation into the new figure, called the IMAGE.
TRANSLATIONS: Translations are a slide or shift. Translations can be achieved by performing two composite reflections over parallel lines. Translations are isometric, and preserve orientation. Coordinate plane rules: (x, y) (x ± h, y ± k) where h and k are the horizontal and vertical shifts.
TRANSLATIONS OF THE COORDINATE PLANE We can use function notation to define a translation. The function notation (x, y) ! (x + 2, y + 3) tells us that the image of a point (x, y) in the plane is obtained by adding 2 units to the x-coordinate and 3 units to the y-coordinate. In
Translations in a coordinate plane can be described by the following coordinate notation: (x,y) ˘ (x+ a,y + b) where a and b are constants. Each point shifts aunits horizontally and b units vertically. For instance, in the coordinate plane at the right, the translation (x,y) ˘ (x+ 4, y º 2) shifts each point 4units to the right and 2 units down.
Unit 1 Transformations in the Coordinate Plane. Table of Contents. Title __________ Page # Formula Sheet..............................................................................2. Lesson 1 – 1: Introduction to Transformations and Rotations............3. Lesson 1 – 2: Reflections and Translations......................................9.
Essential Question: How do we translate geometric figures in the coordinate plane? Translation: A transformation that slides each point of a figure the same distance in the same direction. Translations do not change the map of the figure! They are isometries! EX: Translate ΔABC 5 units down and 4 units left. (x, y) → (x –4, y –5)
