Answer: C. [tex]\overline{SU}\cong\overline{JL}[/tex]
Step-by-step explanation:
- SAS congruence postulate tells that if two sides and the included angle of a triangle are congruent to corresponding two sides and the included angle of other triangle, then the triangles are congruent.
In the given picture , we have two triangles ΔSTU and Δ JKL , in which we have
[tex]\overline{ST}\cong\overline{JK}[/tex]
[tex]\angle{S}\cong\angle{J}[/tex]
To prove ΔSTU is congruent to Δ JKL, we need [tex]\overline{SU}\cong\overline{JL}[/tex] such that [tex]\angle{S}\text{ and }\angle{J}[/tex] becomes congruent the included angles between pair of congruent sides.
Hence, C is the right option.
