Original vertices halved, plotted, form new triangle centered at origin, sides half the size.
To graph the image of the triangle after a dilation with a scale factor of 1/2 centered at the origin, follow these steps:
Identify the coordinates of the vertices of the original triangle. From the image, we can see that the coordinates are:
A: (1, 2)
B: (-2, 4)
C: (-2, 1)
Multiply each coordinate by the scale factor of 1/2. This will give you the coordinates of the corresponding vertices in the dilated triangle.
A': (1/2, 1)
B': (-1, 2)
C': (-1, 1/2)
Plot the new coordinates on the coordinate plane to form the dilated triangle.
Here are some additional tips:
You can use a ruler and pencil to draw the lines connecting the vertices.
Make sure to label the vertices of the dilated triangle with their new coordinates.
You can check your work by making sure that the corresponding sides of the original and dilated triangles are in the ratio of 1:2.