Select the coordinates A' and B' after dilation of the line segment AB with a scale factor of 2, centered at the origin where the endpoints are A (3,7) and B (4, 9) - (1 point)
To find the coordinates of A' and B' after dilation with a scale factor of 1 centered at the origin, we multiply the coordinates of A (-6, 3) and B (-12, 9) by the scale factor.
For A' (x-coordinate):
x' = 1 * x = 1 * (-6) = -6
For A' (y-coordinate):
y' = 1 * y = 1 * 3 = 3
Therefore, A' = (-6, 3).
For B' (x-coordinate):
x' = 1 * x = 1 * (-12) = -12
For B' (y-coordinate):
y' = 1 * y = 1 * 9 = 9
Therefore, B' = (-12, 9).
The correct answer is:
A' (-2, 1) and B' (-4, 3).
To find the coordinates of A' and B' after a dilation with a scale factor of 2 centered at the origin, we multiply each coordinate of A(-4, 1) and B(-1, 3) by the scale factor.
For A' (x-coordinate):
x' = 2 * x = 2 * (-4) = -8
For A' (y-coordinate):
y' = 2 * y = 2 * 1 = 2
Therefore, A' = (-8, 2).
For B' (x-coordinate):
x' = 2 * x = 2 * (-1) = -2
For B' (y-coordinate):
y' = 2 * y = 2 * 3 = 6
Therefore, B' = (-2, 6).
To find the coordinates of A' and B' after a dilation with a scale factor of 5 centered at the origin, we multiply each coordinate of A(1, 2) and B(-2, -1) by the scale factor.
For A' (x-coordinate):
x' = 5 * x = 5 * 1 = 5
For A' (y-coordinate):
y' = 5 * y = 5 * 2 = 10
Therefore, A' = (5, 10).
For B' (x-coordinate):
x' = 5 * x = 5 * (-2) = -10
For B' (y-coordinate):
y' = 5 * y = 5 * (-1) = -5
Therefore, B' = (-10, -5).
To find the coordinates of A' and B' after dilation with a scale factor of 2 centered at the origin, we multiply the coordinates of A (3,7) and B (4,9) by the scale factor.
For A' (x-coordinate):
x' = 2 * x = 2 * 3 = 6
For A' (y-coordinate):
y' = 2 * y = 2 * 7 = 14
Therefore, A' = (6,14).
For B' (x-coordinate):
x' = 2 * x = 2 * 4 = 8
For B' (y-coordinate):
y' = 2 * y = 2 * 9 = 18
Therefore, B' = (8,18).
Select the coordinates A' and B' after dilation of the line segment AB with a scale factor of 1, centered at the origin where the endpoints are A(-6, 3) and B(-12, 9). (1 point)
• A' (-18, 9) and B' (-36, 27)
• A' (-2, 1) and B' (-12, 9)
• A' (-6, 3) and B' (-4,3)
• A' (-2,1) and B' (-4, 3)
Line AB contains point A (-4, 1) and point B (-1, 3). Find the coordinates of A' and B' after a dilation with a scale factor of 2 with a center point of dilation at the origin. (1 point)
• A' (-8, 2) and B' (2, - 6)
O A' (-8, 2) and B' (-2, 6)
O A' (8, - 2) and B' (2, - 6)
• A' (-5, - 2) and B' (-2, 6)
Line AB contains point A (1, 2) and point B (-2, - 1). Find the coordinates of A' and B' after a dilation with a scale factor of 5 with a center point of dilation at the origin. (1 point)
• A' (1, 2) and B' (-10, - 5)
O A' (5, 10) and B' (-2, - 1)
• A' (5, 10) and B' (10, 5)
O A' (5, 10) and B' (-10, - 5)
Describe the dilation of triangle ABC, with a scale factor of 5 and a center point of dilation at the origin (0, 0).
(1 point)
O Triangle A'B'C' is 5 times smaller than triangle ABC and is 5 times as far from the center point of dilation.
• Triangle A'B'C' is 5 times smaller than triangle ABC and is 5 times closer to the center point of dilation.
O Triangle A'B'C' is 5 times as large as triangle ABC and is 5 times closer to the center point of dilation.
O Triangle A'B'C' is 5 times as large as triangle ABC and is 5 times as far from the center point of dilation.