triangle a is the pre-image in a translation, and triangle b is the image, as shown below.

how was triangle a translated?

four units left
four units right
six units left

Question

triangle a is the pre-image in a translation, and triangle b is the image, as shown below.

how was triangle a translated?

four units left
four units right
six units left

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Translation Rule", "Coordinate Transformations" ], "new_concepts": [], "current_concepts": [ "Translation Rule", "Coordinate Transformations" ] } ## Identify corresponding vertices Using the *Coordinate Transformations* knowledge point $$ \begin{aligned} &\text{Pre-image (Triangle A) right-angle vertex: } P_A = (-4, 1)\ &\text{Image (Triangle B) right-angle vertex: } P_B = (2, 1) \end{aligned} $$ ## Calculate the horizontal translation Using the *Translation Rule* knowledge point $$ \begin{aligned} &\Delta x = x_B - x_A = 2 - (-4) = 6\ &\Delta y = y_B - y_A = 1 - 1 = 0 \end{aligned} $$ ## Determine the direction and magnitude Using the *Translation Rule* knowledge point $$ \begin{aligned} &\Delta x = +6 \implies 6\text{ units right} \end{aligned} $$

four units left

four units right

six units left

six units right

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

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QUESTION IMAGE

Question

Explanation:

Identify corresponding vertices

Calculate the horizontal translation

Determine the direction and magnitude

Answer: