The vertices of a rectangle are R(-5,-5), S(-1,-5), T(-1,1),and U(-5,1). After translation, R prime is the point (0,-13). Find the translation vector and coordinates of U prime.
I got (5,-8) as my tanslatipn vector and (0,-7) as my U prime. Is this right?
Yes, good job.
To find the translation vector, we can subtract the coordinates of the original point from the coordinates of the new point.
Translation Vector:
Let's find the difference in x and y coordinates for the translation vector:
New x coordinate - Original x coordinate: 0 - (-5) = 5
New y coordinate - Original y coordinate: -13 - (-5) = -8
So, the translation vector is (5, -8).
Now, let's use this translation vector to find the coordinates of U prime.
Original coordinates of U: (-5, 1)
Translation vector: (5, -8)
To determine the coordinates of U prime, we add the respective components of the translation vector to the original coordinates of U.
New x coordinate of U prime = -5 + 5 = 0
New y coordinate of U prime = 1 - 8 = -7
Therefore, the coordinates of U prime are (0, -7).
Your answer of (5, -8) for the translation vector is correct. However, please note that the coordinates of U prime should be (0, -7), not (0, -8).