(A) what does the scale factor tell you about two similar shapes? (B) How does the coordinate rule for making two similar shapes relate to the scale factor?
The coordinate rule for making similar shapes relate to X and Y in the scale factor by doing the same thing just different variations of the number. For example if you have a square that is 2 x 4 and the scale factor is to the new square is going to be a 4 x 8.
(A) The scale factor tells you how the corresponding lengths of two similar shapes are related. It is the ratio of any length in the first shape to the corresponding length in the second shape. The scale factor can either be greater than 1, which indicates the second shape is enlarged compared to the first shape, or it can be less than 1, indicating the second shape is reduced in size compared to the first shape.
(B) The coordinate rule for making two similar shapes relates to the scale factor by determining the new coordinates of each point in the second shape based on the coordinates of the corresponding point in the first shape and the scale factor. The relationship can be described as follows:
If a point in the first shape has coordinates (x, y), and the scale factor is k, then the corresponding point in the second shape will have coordinates (kx, ky). In other words, each coordinate of a point in the second shape is obtained by multiplying the corresponding coordinate of the point in the first shape by the scale factor. This allows the second shape to be scaled up or down while maintaining the same shape and proportions as the first shape.
(A) The scale factor tells you how the corresponding lengths of two similar shapes are related. In other words, it describes the proportional change in size between the two shapes. Specifically, if you multiply the lengths of any side, angle, or dimension in one shape by the scale factor, you will get the corresponding length in the other shape.
(B) The coordinate rule for making two similar shapes states that if you multiply the coordinates of each point in the original shape by the scale factor, you will obtain the coordinates of the corresponding points in the similar shape. This rule relates to the scale factor because it involves applying the same scale factor to all coordinates. By multiplying each coordinate by the scale factor, we ensure that the relative positions of the points in the shape are maintained while scaling the shape up or down. This helps in creating a proportional relationship between the two similar shapes, preserving both their size and shape.