if $\delta abc$ is reflected across the $y$-axis, what are the coordinates of $a$?

a. $(-1, -3)$
b. $(5, -3)$
c. $(1, -3)$
d. $(-1, 3)$

Question

if $\delta abc$ is reflected across the $y$-axis, what are the coordinates of $a$?

a. $(-1, -3)$
b. $(5, -3)$
c. $(1, -3)$
d. $(-1, 3)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Reflection Across Axis", "Coordinate Geometry Transformations" ], "new_concepts": [], "current_concepts": [ "Reflection Across Axis", "Coordinate Geometry Transformations" ] } ## Identify the coordinates of point A Using the *Coordinate Geometry Transformations* knowledge point $$ A = (1, 3) $$ ## Apply reflection across the y-axis Using the *Reflection Across Axis* knowledge point $$ (x, y) ightarrow (-x, y) $$ $$ A'(x', y') = (-1, 3) $$

A. $(-1, -3)$

B. $(5, -3)$

C. $(1, -3)$

D. $(-1, 3)$

{ "elements": [ { "type": "point", "params": [[1, 3]], "properties": { "name": "A", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[3, 6]], "properties": { "name": "B", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[5, 3]], "properties": { "name": "C", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "polygon", "params": [[1, 3], [3, 6], [5, 3]], "properties": { "fillColor": "rgba(140, 85, 242, 0.15)", "strokeColor": "#8C55F2", "strokeWidth": 2 } }, { "type": "point", "params": [[-1, 3]], "properties": { "name": "A'", "size": 4, "color": "#F2557F", "withLabel": true } }, { "type": "point", "params": [[-3, 6]], "properties": { "name": "B'", "size": 4, "color": "#F2557F", "withLabel": true } }, { "type": "point", "params": [[-5, 3]], "properties": { "name": "C'", "size": 4, "color": "#F2557F", "withLabel": true } }, { "type": "polygon", "params": [[-1, 3], [-3, 6], [-5, 3]], "properties": { "fillColor": "rgba(242, 85, 127, 0.15)", "strokeColor": "#F2557F", "strokeWidth": 2, "strokeDash": 1 } } ] } { "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Reflection Across Axis" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the coordinates of point A

Apply reflection across the y-axis

Answer: