Translations Lesson #4 Pg. 39

True or False. ___ 1. The coordinates of each transformation are calculated the same way. ___ 2. There was a movie made about transformations. ___ 3. All transformations preserve size and shape. ___ 4. Transformations can be performed on a coordinate plane. ___ 5. Reflections, translations, rotations, and dilations are all transformations.

Key Vocabulary Transformations Pre-image Image Translation Congruent An operation that moves a geometric figure, pre-image, onto a new figure, image. Pre-image The original figure before a transformation. Image The resulting figure after a transformation. Translation A transformation that slides or shifts a figure from one position to another without turning Congruent Having the same size and shape of an object Isometry Transformation that preserves size, shape and orientation of the pre-image

Activating Strategy Look at the picture. Discuss your thoughts with your partner. Decide what type of transformation is depicted in the picture.

Translations * Preserve Size, Shape and Orientation

Background Information Translations are a slide or shift from the original position Translations can happen in any direction Translations preserve size, shape, and orientation of the pre-image Translations can be written in words or in coordinate form Axis translations can be related to a formula

Translations in the Coordinate Plane Translations use “x” values for horizontal movement and “y” values for vertical movement. Just like the “x” and “y” axis on the coordinate plane. The formula for Translation is… Where “±a” is the horizontal (right or left) movement and Where “±b” is the vertical (up or down) movement

Prime Symbols Use prime symbols for the vertices in a transformed image. A` is read A prime B` C` A B C A`

Example Graph with vertices J(-3, 4), K(1, 3), and L(-4, 1). Then graph the image of after a translation 2 units right and 5 units down. Write the coordinates of its vertices.

Example Triangle XYZ has vertices X(-1, -2), Y(6, -3) and Z(2, -5). Find the vertices of after a translation of 2 units left and 1 unit up. So the vertices of Vertices of

Example Use translation notation to describe the translation from point “A” to point “B” Point “A” is located at (3, 3), point “B” is located at (2, 1)

HC: pg. 43-44 (1-11) CC: pg. 43-44 (1-7, 9, 11) www.ixl.com R3 Homework HC: pg. 43-44 (1-11) CC: pg. 43-44 (1-7, 9, 11) www.ixl.com R3