Question

¿qué información adicional se requiere para que los 2 triángulos sean congruentes por sss?
a) ∠d ≅ ∠s or ∠c ≅ ∠t
b) ed ≅ rs or dc ≅ st
c) ∠e ≅ ∠r
d) ce ≅ tr

Explanation:

Step1: Recall SSS (Side - Side - Side) Congruence Criterion

SSS states that if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.

Step2: Analyze Each Option

• Option A: $\angle D\cong\angle S$ or $\angle C\cong\angle T$ are angle congruences. SSS requires side - side - side, not angles.
• Option B: $ED\cong RS$ or $DC\cong ST$ gives only two sides. SSS needs three sides.
• Option C: $\angle E\cong\angle R$ is an angle congruence. SSS is about sides.
• Option D: $CE\cong TR$ gives the third pair of sides. If we assume from the markings (two pairs of sides already seem congruent from the figure), with $CE\cong TR$, we have three pairs of sides ($CD\cong TS$, $DE\cong SR$, $CE\cong TR$) satisfying SSS.

Answer:

D. $CE\cong TR$