Question

On a coordinate plane, 2 right triangles are shown. The first triangle has points A (negative 1, 3), B (negative 1, 1), C (3, 1). The second triangle has points A prime (2, negative 2), B prime (2, negative 4), C prime (6, negative 4).
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options.

The rule for the translation can be written as T–5, 3(x, y).
The rule for the translation can be written as T3, –5(x, y).
The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
Triangle ABC has been translated 3 units to the right and 5 units down.

Answer 1

Correct choices:
- The rule for the translation can be written as T3, –5(x, y).
- Triangle ABC has been translated 3 units to the right and 5 units down.

Explanation: A' − A = (2 − (−1), −2 − 3) = (3, −5), and the same vector works for B→B' and C→C'. So the translation is (x,y) → (x+3, y−5), i.e., right 3 and down 5.