What are the points (-0.5,2), (-0.5,-1), (1.5,2) after a dilation with the scale factor or 1/2?
To find the new coordinates after a dilation with a scale factor of 1/2, we multiply both the x-coordinate and the y-coordinate of each point by 1/2.
For the point (-0.5, 2):
The new x-coordinate = -0.5 * (1/2) = -0.25
The new y-coordinate = 2 * (1/2) = 1
Therefore, after the dilation, the point (-0.5, 2) becomes (-0.25, 1).
For the point (-0.5, -1):
The new x-coordinate = -0.5 * (1/2) = -0.25
The new y-coordinate = -1 * (1/2) = -0.5
Therefore, after the dilation, the point (-0.5, -1) becomes (-0.25, -0.5).
For the point (1.5, 2):
The new x-coordinate = 1.5 * (1/2) = 0.75
The new y-coordinate = 2 * (1/2) = 1
Therefore, after the dilation, the point (1.5, 2) becomes (0.75, 1).
So, the coordinates after the dilation with a scale factor of 1/2 are:
(-0.25, 1), (-0.25, -0.5), (0.75, 1).
To find the coordinates after a dilation with a scale factor of 1/2, we can multiply each coordinate by the scale factor.
For the point (-0.5, 2):
New x-coordinate = (-0.5) * (1/2) = -0.25
New y-coordinate = 2 * (1/2) = 1
So, the new coordinates for (-0.5, 2) after a dilation with a scale factor of 1/2 are (-0.25, 1).
For the point (-0.5, -1):
New x-coordinate = (-0.5) * (1/2) = -0.25
New y-coordinate = -1 * (1/2) = -0.5
So, the new coordinates for (-0.5, -1) after a dilation with a scale factor of 1/2 are (-0.25, -0.5).
For the point (1.5, 2):
New x-coordinate = 1.5 * (1/2) = 0.75
New y-coordinate = 2 * (1/2) = 1
So, the new coordinates for (1.5, 2) after a dilation with a scale factor of 1/2 are (0.75, 1).
To find the points after a dilation with a scale factor of 1/2, we need to multiply the x and y coordinates of each point by 1/2.
Let's take each point one by one and apply the dilation:
1. Point (-0.5, 2):
Dilated x-coordinate = (-0.5) * (1/2) = -0.25
Dilated y-coordinate = 2 * (1/2) = 1
After dilation, the point becomes (-0.25, 1).
2. Point (-0.5, -1):
Dilated x-coordinate = (-0.5) * (1/2) = -0.25
Dilated y-coordinate = (-1) * (1/2) = -0.5
After dilation, the point becomes (-0.25, -0.5).
3. Point (1.5, 2):
Dilated x-coordinate = (1.5) * (1/2) = 0.75
Dilated y-coordinate = 2 * (1/2) = 1
After dilation, the point becomes (0.75, 1).
Therefore, the points after a dilation with a scale factor of 1/2 are:
(-0.25, 1), (-0.25, -0.5), (0.75, 1).