Question

which statements are true about triangle abc and its translated image, abc? 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 \\(t_{3, -5}(x, y)\\).
the rule for the translation can be written as \\((x, y) \
ightarrow (x + 3, y - 3)\\).
the rule for the translation can be written as \\((x, y) \
ightarrow (x - 3, y - 3)\\).
triangle abc has been translated 3 units to the right and 5 units down.

Explanation:

Identify coordinates of corresponding vertices

$$
LATEXBLOCK0
$$

Determine the translation vector

$$
LATEXBLOCK1
$$

Evaluate the given statements

$$
LATEXBLOCK2
$$

Answer:

• The rule for the translation can be written as \(T_{-5, 3}(x, y)\).
• The rule for the translation can be written as \(T_{3, -5}(x, y)\). (Correct answer)
• The rule for the translation can be written as \((x, y)

ightarrow (x + 3, y - 3)\).

• The rule for the translation can be written as \((x, y)

ightarrow (x - 3, y - 3)\).

• Triangle ABC has been translated 3 units to the right and 5 units down. (Correct answer)