If the triangle was dilated by a scale factor of 3 and the coordinates are A(1,3), B(-2,1), and C(4,2), what are the new coordinates for A', B', and C'?
really?
Just multiply all the coordinates by 3
To find the new coordinates of A', B', and C', we need to multiply the x and y coordinates of each point by the scale factor of 3.
For point A(1, 3):
The new x-coordinate of A' is 1 * 3 = 3
The new y-coordinate of A' is 3 * 3 = 9
So, A' has the coordinates (3, 9).
For point B(-2, 1):
The new x-coordinate of B' is -2 * 3 = -6
The new y-coordinate of B' is 1 * 3 = 3
So, B' has the coordinates (-6, 3).
For point C(4, 2):
The new x-coordinate of C' is 4 * 3 = 12
The new y-coordinate of C' is 2 * 3 = 6
So, C' has the coordinates (12, 6).
Therefore, the new coordinates for A', B', and C' are A'(3, 9), B'(-6, 3), and C'(12, 6), respectively.
To find the new coordinates of each point after a dilation, we need to multiply the coordinates of each point by the scale factor. In this case, the scale factor is 3.
Let's start with point A(1,3):
To find the coordinates of A' after the dilation, we multiply the x-coordinate and the y-coordinate of A by 3:
x-coordinate of A' = 1 * 3 = 3
y-coordinate of A' = 3 * 3 = 9
So, the new coordinates of A' are (3,9).
Now let's move on to point B(-2,1):
To find the coordinates of B' after the dilation, we multiply the x-coordinate and the y-coordinate of B by 3:
x-coordinate of B' = -2 * 3 = -6
y-coordinate of B' = 1 * 3 = 3
So, the new coordinates of B' are (-6,3).
Finally, let's find the coordinates of point C(4,2):
To find the coordinates of C' after the dilation, we multiply the x-coordinate and the y-coordinate of C by 3:
x-coordinate of C' = 4 * 3 = 12
y-coordinate of C' = 2 * 3 = 6
So, the new coordinates of C' are (12,6).
To summarize:
A' has coordinates (3,9)
B' has coordinates (-6,3)
C' has coordinates (12,6)