A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor
of 0.4 with the origin as the center of dilation.
If (x, y) represents the location of any point on the original square, which ordered pair represents the
coordinates of the corresponding point on the resulting square?
what would x and y be exactly
well, just multiply x and y by the scale factor...
Hehdhhd
To find the coordinates of the corresponding point on the resulting square after dilation, we need to multiply the original coordinates (x, y) by the scale factor of 0.4.
Let's say the original square has vertices A, B, C, and D with coordinates (x1, y1), (x2, y2), (x3, y3), and (x4, y4), respectively.
To find the coordinates of the corresponding point on the resulting square, we can use the following formulas:
x' = (0.4 * x)
y' = (0.4 * y)
Using the formulas, let's find the coordinates of one of the vertices, for example, A (x1, y1):
x1' = (0.4 * x1)
y1' = (0.4 * y1)
Once we calculate x1' and y1', we can represent the coordinates of the corresponding point on the resulting square as (x1', y1').
Repeat this process for all the vertices or points of the original square to get the coordinates of the corresponding points on the resulting square.