the triangles $\delta pts$ and $\delta qtr$ are congruent. identify their common side or angle.

the common part is dropdown.

Question

the triangles $\delta pts$ and $\delta qtr$ are congruent. identify their common side or angle.

the common part is dropdown.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Triangle Congruence Statements" ], "new_concepts": [ "Overlapping Triangles", "Common Parts of Congruent Triangles" ], "current_concepts": [ "Triangle Congruence Statements", "Overlapping Triangles", "Common Parts of Congruent Triangles" ] } ## Identify the vertices of the two triangles $$ \begin{aligned} &\text{Triangle 1: } \Delta PTS \implies \text{Vertices: } P, T, S \ &\text{Triangle 2: } \Delta QTR \implies \text{Vertices: } Q, T, R \end{aligned} $$ ## Find the shared vertex and angle $$ \begin{aligned} &\text{Shared vertex: } T \ &\angle PTS \text{ and } \angle QTR \text{ share the vertex } T \text{ and represent the exact same angle: } \angle T \end{aligned} $$ The triangles $\Delta PTS$ and $\Delta QTR$ are congruent. Identify their common side or angle. The common part is $\angle T$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Congruence Statements" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the vertices of the two triangles

Find the shared vertex and angle

Answer: