Question

show your work here
○ congruent ○ not congruent
(accompanying a triangle with side lengths 26, 15, 17)

Explanation:

Step1: Recall Congruence Requirement

For triangles to be congruent, corresponding sides must be equal (SSS congruence). But here, we only have one triangle, so we can't compare with another. Wait, maybe a typo? Wait, the triangle has sides 26, 15, 17. But to check congruence, we need another triangle. But since only one triangle is shown, or maybe it's a comparison with a non - shown triangle? Wait, no—wait, maybe the problem is mis - presented? Wait, no, maybe the original problem had two triangles, but here only one is shown. Wait, no, the given triangle has sides 15, 17, 26. For congruence, we need another triangle with the same side lengths. But since we don't have another triangle's sides, but wait, maybe the question is about whether this triangle is congruent to itself? No, that doesn't make sense. Wait, maybe the problem was supposed to have two triangles, but only one is shown. Wait, but given the options, and the fact that we have only one triangle's side lengths (15, 17, 26), and no other triangle's sides, we can infer that since there's no other triangle to compare with (or if we assume that we need two triangles with the same side lengths, and here we only have one), so the answer is "Not congruent" (because we can't establish congruence with just one triangle; congruence is a relationship between two figures). Wait, maybe the original problem had two triangles, but in the provided image, only one is shown. But based on the given, since we have one triangle, and congruence requires two triangles with corresponding sides equal, so the triangle can't be congruent (as there's no other triangle to be congruent to, or if we assume that the other triangle's sides are different, but since we don't have them, but the options are "Congruent" or "Not congruent", and with only one triangle, we can't say it's congruent to another, so the answer is "Not congruent".

Wait, maybe I made a mistake. Wait, congruence of a triangle with itself is trivial, but the options are probably for two triangles. Since we have only one triangle here, the answer is "Not congruent" (because we need two triangles to check congruence, and we don't have the second one, or if the second one has different sides, but since we don't know, but the way the problem is presented, with one triangle and the two options, the intended answer is "Not congruent" because there's no other triangle to be congruent to (or the other triangle, if it existed, would have different sides, but since we have only one, we can't confirm congruence).

Answer:

Not congruent