The image will be half the size of the original shape. If the scale factor is 0.5, then simply multiply each of the original coordinates by 0.5. The image will be 3 times larger than the original object. For example, if the original coordinates of △ A B C are A ( 2, 1 ), B ( 5, 1 ) and C ( 3, 6 ), then the coordinates of △ A ′ B ′ C ′ are: A ′ → (2x3, 1,3) or ( 6, 3 ) , If the scale factor is 3 (K=3), then simply multiply each of the original coordinates by 3. To dilate something in the coordinate plane, multiply each coordinate by the scale factor (K). Point A (x,y) → A ′(Kx, Ky) if K is greater than 1 the original object will stretch and if K is less than 1 the original object will shrink. Note: in geometry scale factor is often symbolized using the letter K or All dilations have a center and a scale factor. The center is the point of reference for the dilation (like the vanishing point in a perspective drawing) and scale factor tells us how much the figure stretches or shrinks. In other words, the dilation is similar, but not the exact same as the original. For example, i n the diagram below, the ordered pair (4,3) is 3 units to the right of the origin and 4 units above the origin.Ī dilation makes a figure larger or smaller, but has the same shape as the original (see figure to the right). The numbers in the ordered pair are separated by a comma, and parentheses are put around them to distinguish them from other points. This is called an " ordered pair" (a pair of numbers in a special order). the vertical distance (up-down) distance is called the Y co-ordinate and is always written second.the horizontal (left-right) distance is called the X co-ordinate and is always written first,.The coordinates are always written in a certain order: Using Cartesian Coordinates you can mark a point on a graph by indicating how far to the left or right and up and down it is from the origin (0,0). Each of the individual number lines is called an axis. A Cartesian Coordinate plane is essentially two number lines (one vertical and one horizontal) that cross at a fixed point called the " origin" - marked on the grid as point (0,0). Reflections are isometric, but do not preserve orientation. Lines of symmetry are examples of lines of reflection. The flip is performed over the line of reflection. Cartesian coordinates can be used to pinpoint where you are on a map or graph. TRANSFORMATIONS CHEAT-SHEET REFLECTIONS: Reflections are a flip.
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