m(0,3)
n(6,0)
p(0,-3)
scale factor=-1/3
how do you do this i have to draw the image of the figure with given vertices under the dilation with the given scale factor centered at the origin
how do you do this
To draw the image of the figure with the given vertices under the dilation with a scale factor of -1/3 centered at the origin, follow these steps:
1. Plot the original figure's vertices: M(0,3), N(6,0), P(0,-3), on a coordinate plane.
2. Draw lines connecting the vertices to form the original figure, which should be a triangle shape.
3. To find the coordinates of the image after the dilation, multiply the x and y coordinates of each vertex by the scale factor (-1/3).
For vertex M(0,3):
x-coordinate: 0 * (-1/3) = 0
y-coordinate: 3 * (-1/3) = -1
For vertex N(6,0):
x-coordinate: 6 * (-1/3) = -2
y-coordinate: 0 * (-1/3) = 0
For vertex P(0,-3):
x-coordinate: 0 * (-1/3) = 0
y-coordinate: -3 * (-1/3) = 1
4. Plot the new image's vertices: M'(0,-1), N'(-2,0), P'(0,1), using the calculated coordinates.
5. Connect the plotted vertices for the new image to form the new figure. This should also be a triangle shape.
The new figure should be smaller than the original figure since the scale factor is less than 1.
To draw the image of the figure with the given vertices under a dilation with a scale factor of -1/3 centered at the origin, follow these steps:
1. Plot the original points m(0,3), n(6,0), and p(0,-3) on a graph or coordinate plane.
2. Draw lines connecting the points m, n, and p to form a triangle.
3. To perform the dilation, multiply the x-coordinate and y-coordinate of each point by the scale factor of -1/3.
For point m(0,3):
- Multiply the x-coordinate (0) by -1/3, resulting in a new x-coordinate of 0.
- Multiply the y-coordinate (3) by -1/3, resulting in a new y-coordinate of -1.
So the new coordinates of point m are (0,-1).
For point n(6,0):
- Multiply the x-coordinate (6) by -1/3, resulting in a new x-coordinate of -2.
- Multiply the y-coordinate (0) by -1/3, resulting in a new y-coordinate of 0.
So the new coordinates of point n are (-2,0).
For point p(0,-3):
- Multiply the x-coordinate (0) by -1/3, resulting in a new x-coordinate of 0.
- Multiply the y-coordinate (-3) by -1/3, resulting in a new y-coordinate of 1.
So the new coordinates of point p are (0,1).
4. Plot the new points m(0,-1), n(-2,0), and p(0,1) on the graph.
5. Connect the new points m, n, and p to form the image of the original triangle after the dilation.
Congratulations! You have successfully drawn the image of the figure with the given vertices under the dilation with the scale factor of -1/3 centered at the origin.