quadrilateral abcd is rotated $145^\circ$ about point t. the result is quadrilateral abcd. which congruency statement is correct?

$abcd \cong abcd$
$abcd \cong adcb$
$cdab \cong adcb$
$cdab \cong cbad$

Question

quadrilateral abcd is rotated $145^\circ$ about point t. the result is quadrilateral abcd. which congruency statement is correct?

$abcd \cong abcd$
$abcd \cong adcb$
$cdab \cong adcb$
$cdab \cong cbad$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Triangle Congruence", "Corresponding Parts", "Geometric Rotations", "Rigid Transformations" ], "new_concepts": [], "current_concepts": [ "Triangle Congruence", "Corresponding Parts", "Geometric Rotations", "Rigid Transformations" ] } ## Identify corresponding vertices under rotation $$ \begin{aligned} A &\to A' \ B &\to B' \ C &\to C' \ D &\to D' \end{aligned} $$ ## Match corresponding order in congruency statements $$ \begin{aligned} \text{Statement 1: } ABCD \cong A'B'C'D' \implies A \to A', B \to B', C \to C', D \to D' \quad (\text{Correct}) \ \text{Statement 2: } ABCD \cong A'D'C'B' \implies B \to D' \quad (\text{Incorrect}) \ \text{Statement 3: } CDAB \cong A'D'C'B' \implies C \to A' \quad (\text{Incorrect}) \ \text{Statement 4: } CDAB \cong C'B'A'D' \implies C \to C', D \to B' \quad (\text{Incorrect}) \end{aligned} $$

(A) $ABCD \cong A'B'C'D'$

(B) $ABCD \cong A'D'C'B'$

(C) $CDAB \cong A'D'C'B'$

(D) $CDAB \cong C'B'A'D'$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify corresponding vertices under rotation

Match corresponding order in congruency statements

Answer: