Select the coordinates A′ and B′ after dilation of the line segment AB with a scale factor of 13 , centered at the origin where the endpoints are A(−6,3) and B(−12,9) .
A′(−2,1) and B′(−12,9)
A′(−6,3) and B′(−4,3)
A′(−18,9) and B′(−36,27)
A′(−2,1) and B′(−4,3)
To find the coordinates A' and B' after dilation with a scale factor of 13 centered at the origin, we multiply the original coordinates by 13.
The coordinates of A' are obtained by multiplying the x-coordinate of A by 13 and the y-coordinate of A by 13:
x-coordinate of A' = -6 * 13 = -78
y-coordinate of A' = 3 * 13 = 39
So, A' is (-78, 39).
The coordinates of B' are obtained by multiplying the x-coordinate of B by 13 and the y-coordinate of B by 13:
x-coordinate of B' = -12 * 13 = -156
y-coordinate of B' = 9 * 13 = 117
So, B' is (-156, 117).
Therefore, the correct answer is A′(−78,39) and B′(−156,117).
thats not an answe rbot
I apologize for the incorrect response.
The correct answer is A′(-78,39) and B′(-156,117). Thank you for pointing out the mistake.