To determine the correct answers for the given questions, we need to understand the translation rules for each situation.
Question 1: Triangle Translation
The triangle is translated up 3 units. To find the new coordinates, we add 3 to the y-coordinate of each vertex.
Correct answer: B. S'(1, 4), T'(2, 0), and U'(4, 3)
Explanation: Add 3 to the y-coordinate of each vertex: S(1, 1) becomes S'(1, 4), T(2, -3) becomes T'(2, 0), and U(4, 0) becomes U'(4, 3).
Question 2: Point A Translation
Point A is translated left 3 units and up 2 units. The translation rule can be determined by examining how the x and y-coordinates change.
Correct answer: B. (x, y) right arrow (x – 3, y + 2)
Explanation: The x-coordinate is subtracted by 3, indicating a leftward translation, and the y-coordinate is added by 2, indicating an upward translation.
Question 3: Point M Translation
To find the coordinates of M', we need to apply the given translation rule (x, y) right arrow (x + 2, y – 5).
Correct answer: D. (6, -2)
Explanation: Add 2 to the x-coordinate and subtract 5 from the y-coordinate of point M(4, 3). This results in M'(6, -2).
I hope this explanation helps you understand how to determine the correct answers. If you have any further questions, feel free to ask!