which congruence postulate or theorem shows that the triangles below are congruent?

a. aas
b. asa
c. aa
d. sas

Question

which congruence postulate or theorem shows that the triangles below are congruent?

a. aas
b. asa
c. aa
d. sas

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 Postulates" ], "new_concepts": [], "current_concepts": [ "Triangle Congruence Postulates", "AAS Congruence" ] } ## Identify given congruent parts $$ \begin{aligned} &\text{Angle 1} = 38^\circ \ &\text{Angle 2} = 100^\circ \ &\text{Side} = 15 \end{aligned} $$ ## Analyze the relative positions of the parts $$ \begin{aligned} &\text{The side of length } 15 \text{ is opposite to the } 100^\circ \text{ angle in both triangles.} \ &\text{The side is not included between the two given angles } (38^\circ \text{ and } 100^\circ). \end{aligned} $$ ## Determine the congruence postulate $$ \text{Two angles and a non-included side are congruent } ightarrow \text{AAS (Angle-Angle-Side)} $$

(A) AAS

(B) ASA

(C) AA

(D) SAS

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Congruence Postulates" ] }

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QUESTION IMAGE

Question

Explanation:

Identify given congruent parts

Analyze the relative positions of the parts

Determine the congruence postulate

Answer: