How does the coordinate rule for making two similar shapes relate to the scale factor?

To make two similar shapes, we use the coordinate rule. This means that for whatever we do to point x, we do the same to point y for every coordinate:
If our original point is (3,4) and we add 2 to 3, then we must also add 2 to 4: (3+2, 4+2) --> (5, 6). After doing this to all the coordinates, the shape on the graph will not have stayed the same, but it will have moved.
The scale factor means that a number is used to multiply something else. Using the scale factor in relation to the coordinate rule, we can make a shape bigger by multiplying each coordinate by the same number:
If our original point is still (3,4), and we multiply 3 by 2, then we must also multiply 4 by 2: (3x2, 4x2) --> (6, 8). This way, the shape on the graph will have grown bigger.

Answered by kmatras1 | 2024-06-11

The coordinate rule for making similar shapes involves applying transformations uniformly to all points of the shape. The scale factor is a number that multiplies each coordinate to enlarge or shrink the shape while maintaining proportion and angles. Therefore, both concepts are essential for understanding how to create similar figures in geometry.
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Answered by kmatras1 | 2024-11-04