the image of trapezoid pqrs after a reflection across $\overleftrightarrow{wy}$ is trapezoid pqrs.

what is $m\angle yxs$?

$45^\circ$
$90^\circ$
$180^\circ$
$270^\circ$

Question

the image of trapezoid pqrs after a reflection across $\overleftrightarrow{wy}$ is trapezoid pqrs.

what is $m\angle yxs$?

$45^\circ$
$90^\circ$
$180^\circ$
$270^\circ$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Isometric Transformation", "Rigid Motion" ], "new_concepts": [ "Reflection Properties", "Perpendicularity in Reflection" ], "current_concepts": [ "Isometric Transformation", "Rigid Motion", "Reflection Properties", "Perpendicularity in Reflection" ] } ## Identify the geometric relationship of reflection $$ \overleftrightarrow{WY} \perp \overline{SS'} $$ ## Determine the angle measure $$ \begin{aligned} &X = \overleftrightarrow{WY} \cap \overline{SS'}\ &\angle YXS = 90^\circ \end{aligned} $$

(A) $45^\circ$

(B) $90^\circ$

(C) $180^\circ$

(D) $270^\circ$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Reflection Properties" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the geometric relationship of reflection

Determine the angle measure

Answer: