which two triangles are congruent by the sas theorem? complete the congruence statement. $\triangle square…

Explanation:

Step1: Recall SAS Congruence Rule

SAS requires two sides and the included angle of one triangle to be equal to the corresponding two sides and included angle of another triangle.

Step2: Match sides and included angle

For $\triangle HGF$: $\overline{HG}$ (2 marks), $\angle H$ (marked), $\overline{HF}$ (3 marks). For $\triangle BDC$: $\overline{DB}$ (2 marks), $\angle D$ (marked), $\overline{DC}$ (3 marks). These pairs correspond: $\overline{HG} \cong \overline{DB}$, $\angle H \cong \angle D$, $\overline{HF} \cong \overline{DC}$, with the angle between the two sides.

Step3: Write congruence statement

Align corresponding vertices: $H \leftrightarrow D$, $G \leftrightarrow B$, $F \leftrightarrow C$.

Answer:

$\triangle HGF \cong \triangle DBC$