Find the new triangle points after the triangle pictured undergoes a scale factor of 1/2 and a center of dilation at the origin.
Xmin:
-10
Xmax:
10
Ymin:
-10
Ymax:
10
B(-2,8)
A(-8,-4)
C(10,-6)
To find the new points of the triangle after undergoing a scale factor of 1/2 and a center of dilation at the origin, we need to multiply the x and y coordinates of each point by 1/2.
For point B (-2, 8):
New x-coordinate: -2 * 1/2 = -1
New y-coordinate: 8 * 1/2 = 4
So the new coordinates for B are (-1, 4).
For point A (-8, -4):
New x-coordinate: -8 * 1/2 = -4
New y-coordinate: -4 * 1/2 = -2
So the new coordinates for A are (-4, -2).
For point C (10, -6):
New x-coordinate: 10 * 1/2 = 5
New y-coordinate: -6 * 1/2 = -3
So the new coordinates for C are (5, -3).
The new triangle, after the scale factor and dilation, will have the following points:
B' (-1, 4)
A' (-4, -2)
C' (5, -3)
The triangle shown will undergo a scale factor of 2.5 and a center of dilation at the origin. What are the new coordinate points of the Triangle?
Xmin:
-10
Xmax:
10
Ymin:
-10
Ymax:
10
A(-2,-2)
B(0,0)
C(2,-4)
To find the new points of the triangle after undergoing a scale factor of 2.5 and a center of dilation at the origin, we need to multiply the x and y coordinates of each point by 2.5.
For point A (-2, -2):
New x-coordinate: -2 * 2.5 = -5
New y-coordinate: -2 * 2.5 = -5
So the new coordinates for A are (-5, -5).
For point B (0, 0):
New x-coordinate: 0 * 2.5 = 0
New y-coordinate: 0 * 2.5 = 0
So the new coordinates for B remain the same, (0, 0).
For point C (2, -4):
New x-coordinate: 2 * 2.5 = 5
New y-coordinate: -4 * 2.5 = -10
So the new coordinates for C are (5, -10).
The new triangle, after the scale factor and dilation, will have the following points:
A' (-5, -5)
B' (0, 0)
C' (5, -10)