question 21 of 25

what else would need to be congruent to show that $\delta stu \cong \delta jkl$ by sas?

given:
$\overline{st} \cong \overline{jk}$
$\angle s \cong \angle j$

a. $\overline{tu} \cong \overline{jl}$
b. $\overline{su} \cong \overline{kl}$
c. $\overline{su} \cong \overline{jl}$
d. $\overline{tu} \cong \overline{kl}$

Question

question 21 of 25

what else would need to be congruent to show that $\delta stu \cong \delta jkl$ by sas?

given:
$\overline{st} \cong \overline{jk}$
$\angle s \cong \angle j$

a. $\overline{tu} \cong \overline{jl}$
b. $\overline{su} \cong \overline{kl}$
c. $\overline{su} \cong \overline{jl}$
d. $\overline{tu} \cong \overline{kl}$

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" ], "new_concepts": [], "current_concepts": [ "Triangle Congruence Postulates", "SAS Congruence Postulate" ] } ## Identify the given congruent parts Using the *Triangle Congruence Postulates* knowledge point Given: $$ \begin{aligned} &\overline{ST} \cong \overline{JK} \quad (\text{Side})\ &\angle S \cong \angle J \quad (\text{Angle}) \end{aligned} $$ ## Determine the required side for SAS Using the *Triangle Congruence Postulates* knowledge point $$ \begin{aligned} &\text{SAS requires the angle to be included between the two sides.}\ &\text{For }\Delta STU\text{, }\angle S\text{ is included between }\overline{ST}\text{ and }\overline{SU}.\ &\text{For }\Delta JKL\text{, }\angle J\text{ is included between }\overline{JK}\text{ and }\overline{JL}.\ &\text{Therefore, we need: }\overline{SU} \cong \overline{JL} \end{aligned} $$

A. $\overline{TU} \cong \overline{JL}$

B. $\overline{SU} \cong \overline{KL}$

C. $\overline{SU} \cong \overline{JL}$

D. $\overline{TU} \cong \overline{KL}$

{ "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 required side for SAS

Answer: