which describes the transformation of triangle $abc$ to triangle $abc$?

$r_{x\text{-axis}}$
$r_{y\text{-axis}}$
$r_{o, 90^\circ}$
$r_{o, 270^\circ}$

Question

which describes the transformation of triangle $abc$ to triangle $abc$?

$r_{x\text{-axis}}$
$r_{y\text{-axis}}$
$r_{o, 90^\circ}$
$r_{o, 270^\circ}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Coordinate Transformations", "Reflection Properties" ], "new_concepts": [], "current_concepts": [ "Coordinate Transformations", "Reflection Properties", "Rigid Motion" ] } ## Identify coordinates of original and transformed vertices $$ \begin{aligned} A &= (3, 5) ightarrow A' = (3, -5) \ B &= (2, 1) ightarrow B' = (2, -1) \ C &= (3, 1) ightarrow C' = (3, -1) \end{aligned} $$ ## Determine the transformation rule $$ (x, y) ightarrow (x, -y) $$ ## Match with transformation notation $$ r_{\text{x-axis}}(x, y) = (x, -y) $$

(A) $r_{\text{x-axis}}$

(B) $r_{\text{y-axis}}$

(C) $R_{O, 90^{\circ}}$

(D) $R_{O, 270^{\circ}}$

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

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QUESTION IMAGE

Question

Explanation:

Identify coordinates of original and transformed vertices

Determine the transformation rule

Match with transformation notation

Answer: