triangle pqr has vertices $p(-2, 6)$, $q(-8, 4)$, and $r(1, -2)$. it is translated according to the rule $(x, y) \
ightarrow (x - 2, y - 16)$.

what is the y-value of p?

-18
-16
-12
-10

Question

triangle pqr has vertices $p(-2, 6)$, $q(-8, 4)$, and $r(1, -2)$. it is translated according to the rule $(x, y) \
ightarrow (x - 2, y - 16)$.

what is the y-value of p?

-18
-16
-12
-10

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Translation Notation", "Coordinate Transformations" ], "new_concepts": [], "current_concepts": [ "Translation Notation", "Coordinate Transformations" ] } ## Identify the initial coordinates of point P $$ P = (-2, 6) \implies y = 6 $$ ## Apply the translation rule to the y-coordinate $$ y' = y - 16 $$ ## Calculate the final y-value $$ y' = 6 - 16 = -10 $$

(A) $-18$

(B) $-16$

(C) $-12$

(D) $-10$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Coordinate Transformations" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the initial coordinates of point P

Apply the translation rule to the y-coordinate

Calculate the final y-value

Answer: