Question

Dilation of 2.5 with points Z(-1,0), C(2,2), and W(-1,-1). What are the coordinates?

a) What are the coordinates of the dilated points after a scale factor of 2.5?

Z'(-2.5, 0)
C'(5, 5)
W'(-2.5, -2.5)
Z'(-2.5, -2.5)

Answer 1

To find the coordinates after a dilation with a scale factor of 2.5, each original coordinate is multiplied by 2.5. The resulting coordinates are Z'(-2.5, 0), C'(5, 5), and W'(-2.5, -2.5).

Step-by-step explanation:

The question involves performing a dilation of a set of points with a given scale factor in the coordinate plane, which is a concept in geometry. When we dilate a point, each coordinate of the point is multiplied by the scale factor. To find the dilated coordinates after a scale factor of 2.5, we multiply each coordinate of the original points by 2.5.

• For Z(-1,0), the dilated coordinates Z' are (-1×2.5, 0×2.5), which simplifies to (Z'(-2.5, 0)).
• For C(2,2), the dilated coordinates C' are (2×2.5, 2×2.5), which simplifies to (C'(5, 5)).
• For W(-1,-1), the dilated coordinates W' are (-1×2.5, -1×2.5), which simplifies to (W'(-2.5, -2.5)).

Therefore, the coordinates of the dilated points after a scale factor of 2.5 are Z'(-2.5, 0), C'(5, 5), and W'(-2.5, -2.5).