Question

which two triangles are congruent? complete the congruence statement.

(image of three triangles: first triangle labeled f, g, h with angle at f marked, side gh marked, angle at h marked; second triangle labeled x, w, v with angle at x marked, side wv marked, angle at v marked; third triangle labeled r, s, t with side rs marked, angle at s marked, angle at t marked)

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Explanation:

Step1: Analyze Triangle Congruence Markings

Triangle \( \triangle FGH \) and \( \triangle XWV \) have the same angle and side markings (two angles and a side, or ASA-like correspondence with the given marks). The third triangle \( \triangle RST \) has a different orientation and markings that don't match the first two as closely.

Step2: Identify Corresponding Triangles

Looking at the markings: \( \triangle FGH \) (with vertices \( F, G, H \)) and \( \triangle XWV \) (with vertices \( X, W, V \)) have congruent angle and side markings, indicating they are congruent.

Answer:

\( \triangle FGH \cong \triangle XWV \)