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CH. 9 – PROPERTIES OF TRANSLATIONS ESSENTIAL QUESTION: HOW DO YOU DESCRIBE THE PROPERTIES OF TRANSLATION AND THEIR EFFECT ON THE CONGRUENCE AND THE ORIENTATION.

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Presentation on theme: "CH. 9 – PROPERTIES OF TRANSLATIONS ESSENTIAL QUESTION: HOW DO YOU DESCRIBE THE PROPERTIES OF TRANSLATION AND THEIR EFFECT ON THE CONGRUENCE AND THE ORIENTATION."— Presentation transcript:

1 CH. 9 – PROPERTIES OF TRANSLATIONS ESSENTIAL QUESTION: HOW DO YOU DESCRIBE THE PROPERTIES OF TRANSLATION AND THEIR EFFECT ON THE CONGRUENCE AND THE ORIENTATION OF FIGURES?

2 PROPERTIES OF TRANSLATIONS Transformation – a function that describes a change in the ______________, size, or ____________ of a figure. Pre-image – The “_____________” image given. The input of a transformation. Image – The output of a transformation. The “________” image. Translation – Transformation that ____________ a figure along a straight line. The size or shape does NOT change. Congruency – When a shape, equation, or solution is ____________ position shape original new slides equal

3 RULES OF TRANSLATIONS Translations left and right – Changes the ___________ Left - ____________ units from the pre-image Right - ____________ units from the pre-image Translations up and down – Changes the ___________ Up- ____________ units from the pre-image Down- ____________ units from the pre-imagex-values y-values subtract add add subtract

4 TRANSLATE THE FIGURE 5 UNITS UP AND 6 UNITS RIGHT A (-5,0) (x+6, y+5) __________ B (-5,-4) (x+6, y+5) __________ C (-2,-4) (x+6, y+5) __________ Did the size of the shape change? Did the orientation of the shape change? A BC (1, 5) (1, 1) (4, 1)

5 Highlight the translation (1 unit left, 6 units down) Name the pre-image __________ Graph the pre-image Perform the translation algebraically ( x _____, y ________) R (-4, 4) (-4-1, 4-6) R’ (-5, -2) S (3, 4) (3-1, 4-6) S’ (2, -2) T (3, 2) (3-1, 2-6) T’ (2, -4) Graph the new __________ RST -6 Image R’S’T’

6 Highlight the translation (3 unit left, 7 units up) Name the pre-image __________ Graph the pre-image Perform the translation algebraically ( x _____, y ________) A (-3,-7) (___________) A’ (______) B (7,-7) (___________) B’ (______) C (6, -3) (___________) C’ (______) D (0, -2) (__________) D’ (_______) Graph the new __________________ ABCD -3 +7 Image A’B’C’D’ -3-3, -7+7 7-3, -7+7 6-3, -3+7 0-3, -2+7 -6,0 4, 0 3, 4 -3,5

7 THINK ABOUT IT!

8 GRAPHING TRANSLATIONS Pick a specific __________ from the pre-image to begin graphing the image. Identify the coordinate of that vertices Use algebra to determine the new coordinates Graph all vertices to form the new __________ vertice image

9 HOW DO YOU KNOW WHEN A TRANSFORMATION WAS A TRANSLATION? The image will have the same size, shape and orientation as the preimage.

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