which two triangles are congruent by the sas theorem? complete the congruence statement.\n$\\delta \\square…
which two triangles are congruent by the sas theorem? complete the congruence statement.\n$\\delta \\square \\cong \\delta \\square$
Answer
Explanation:
Step1: Identify SAS components in $\triangle HIJ$
Side $HI$ (single tick), $\angle I$ (arc), and side $IJ$ (double tick).
Step2: Identify SAS components in $\triangle WXY$
Side $XY$ (single tick), side $XW$ (double tick), but $\angle Y$ is marked.
Step3: Identify SAS components in $\triangle TUV$
Side $UV$ (single tick), $\angle V$ (arc), and side $VT$ (double tick).
Step4: Compare triangles for SAS congruence
$\triangle HIJ$ and $\triangle TUV$ have two sides and an included angle congruent.
Step5: Match corresponding vertices
$H \leftrightarrow U$, $I \leftrightarrow V$, and $J \leftrightarrow T$.
Answer:
$\triangle HIJ \cong \triangle UVT$