Line segment AB has endpoints A (−6, 4) and B (−8, 2). Find the coordinates of A′ and B′ after a dilation with a scale factor of 12, centered at the origin.(1 point)
To find the new coordinates A' and B' after a dilation with a scale factor of 12, centered at the origin, we multiply the x and y coordinates of each point by the scale factor.
For point A (-6, 4):
x-coordinate of A' = -6 * 12 = -72
y-coordinate of A' = 4 * 12 = 48
So A' has coordinates (-72, 48).
For point B (-8, 2):
x-coordinate of B' = -8 * 12 = -96
y-coordinate of B' = 2 * 12 = 24
So B' has coordinates (-96, 24).
Therefore, the coordinates of A' and B' after the dilation are (-72, 48) and (-96, 24) respectively.
To find the coordinates of A' and B' after a dilation with a scale factor of 12, centered at the origin, we can use the following formula:
A' = (12 * x1, 12 * y1)
B' = (12 * x2, 12 * y2)
Where (x1, y1) are the coordinates of point A and (x2, y2) are the coordinates of point B.
Given:
A (-6, 4)
B (-8, 2)
Applying the formula, we get:
A' = (12 * (-6), 12 * 4)
= (-72, 48)
B' = (12 * (-8), 12 * 2)
= (-96, 24)
Therefore, the coordinates of A' are (-72, 48) and the coordinates of B' are (-96, 24).