Which statements are true about triangle ABC and its translated image, cap A prime cap b prime cap c prime ? Choose two correct answers.
Answer
A
The rule for the translation can be written as cap t sub 3 comma negative 5 times open paren x comma y close paren .
B
Triangle ABC has been translated 3 units to the right and 5 units down.
C
The rule for the translation can be written as cap t sub negative 5 comma 3 times open paren x comma y close paren .
D
The rule for the translation can be written as open paren x comma y close paren rightarrow open paren x plus 3 comma y minus 3 close paren .
E
The rule for the translation can be written as open paren x comma y close paren rightarrow open paren x minus 3 comma y minus 3 close paren .
Explanation
A translation written as T₍₃,₋₅₎ adds 3 to each x-coordinate and subtracts 5 from each y-coordinate. That moves the triangle 3 units to the right and 5 units down, so statements B and E describe the same translation.
AI-written and checked against the verified answer.