Question

Figure TUVW is transformed to T′U′V′W′, as shown:

A coordinate plane is shown. Figure TUVW has vertices T at 3 comma negative 4, U at 4 comma negative 2, V at 6 comma negative 1 and W at 6 comma negative 4. Figure T prime U prime V prime W prime has vertices at T prime negative 5 comma negative 4, U prime at negative 6 comma negative 2, V prime at negative 8 comma negative 1, and W prime at negative 8 comma negative 4.
Which of the following sequences of transformations is used to obtain figure T′U′V′W′ from TUVW? (4 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The given sequence of transformations can be determined by comparing the coordinates of the vertices of TUVW and T'U'V'W':

1. Translation: T => T'
The x-coordinate of T has changed from 3 to -5 (shifted left 8 units), and the y-coordinate remains the same.

2. Reflection: U => U'
The x-coordinate of U has changed from 4 to -6 (reflected over the y-axis), and the y-coordinate remains the same.

3. Translation: V => V'
The x-coordinate of V has changed from 6 to -8 (shifted left 14 units), and the y-coordinate remains the same.

4. No transformation: W => W'
The coordinates of W remain the same.

Therefore, the sequence of transformations used to obtain figure T'U'V'W' from TUVW is:
Translation (left 8 units), Reflection (over the y-axis), Translation (left 14 units), No transformation.