Translating Shapes
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(0:01) What is Translation in Math?: Translating shapes means moving a shape on a grid without changing its size or orientation, like sliding it. This is often described using column vectors.(0:48) What are Column Vectors?: A column vector has two numbers. The top number represents horizontal movement (positive for right, negative for left), and the bottom number represents vertical movement (positive for up, negative for down).(1:18) Understanding Column Vectors: For example, a column vector of (3, 2) means moving 3 units right and 2 units up, and a column vector of (−6, 1) means moving 6 units left and 1 unit up.(2:10) Translating Shapes with a Column Vector: To translate a shape, move each corner based on the column vector. For example, a vector of (8, −3) moves each corner of the shape 8 units right and 3 units down.(2:42) Finding the Column Vector of a Translation: To find the column vector of a translation, check the horizontal and vertical movements. For example, moving 10 units left and 4 units down is represented by (−10, −4).
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