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Using Coordinates to Translate Shapes in Geometry

This exercise explores the use of coordinates for locating and translating geometric shapes. You'll start by translating a given shape through specified coordinates, determining the new vertices of the translated shapes. We will cover examples that involve multiple translations, allowing you to practice both identifying vertices from coordinates and drawing shapes based on transformations. Understanding translations is crucial in geometry as it aids in visualizing and manipulating shapes on a coordinate plane.

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Using Coordinates to Translate Shapes in Geometry

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  1. Name_____________________ Translation Can I use co-ordinates to locate and translate shapes? 20 20 10 10 -20 -10 10 20 -20 -10 10 20 -10 -10 -20 -20 Translate this shape through (-9, 4) List the vertices of the translated shape: ________ ________ ________ ________ ________ ________ Translate this shape through (8, -7) List the vertices of the translated shape: ________ ________ ________ ________ ________ ________ 20 20 10 10 -20 -10 10 20 -20 -10 10 20 -10 -10 -20 -20 Draw a shape with vertices at these co-ordinates: (8, 4) (9, 1) (-4, 3) (-4, -4) (-7, 11) Translate the shape through (-5, -8) Draw a shape with vertices at these co-ordinates: (0, 0) (-5, -1) (12, -3) (-8, 4) (12, 13) (14, 9) Translate the shape through (-5, -8)

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