overlapping triangles
which of the following relationships proves why $\delta bea$ and $\delta dae$ are congruent?

sas
sss
asa
hl

$\overline{ab} \cong \overline{ed}$
$\angle bae \cong \angle dea$
$\overline{ae} \cong \overline{ae}$

Question

overlapping triangles
which of the following relationships proves why $\delta bea$ and $\delta dae$ are congruent?

sas
sss
asa
hl

$\overline{ab} \cong \overline{ed}$
$\angle bae \cong \angle dea$
$\overline{ae} \cong \overline{ae}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Triangle Congruence Postulates", "SAS Postulate" ], "new_concepts": [], "current_concepts": [ "Triangle Congruence Postulates", "SAS Postulate" ] } ## Identify the given congruent parts Using the *Triangle Congruence Postulates* knowledge point $$ \begin{aligned} &\overline{AB} \cong \overline{ED} \quad \text{(Side)}\ &\angle BAE \cong \angle DEA \quad \text{(Angle)}\ &\overline{AE} \cong \overline{AE} \quad \text{(Side)} \end{aligned} $$ ## Determine the congruence postulate Using the *SAS Postulate* knowledge point $$ \begin{aligned} &\text{Two sides and their included angle are congruent.}\ &\triangle BEA \cong \triangle DAE \quad \text{by SAS} \end{aligned} $$

SAS

SSS

ASA

HL

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

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QUESTION IMAGE

Question

Explanation:

Identify the given congruent parts

Determine the congruence postulate

Answer: