which two triangles are congruent? complete the congruence statement.\n$\\delta \\square \\cong \\delta…
which two triangles are congruent? complete the congruence statement.\n$\\delta \\square \\cong \\delta \\square$
Answer
Explanation:
Step1: Identify markings on $\triangle UVW$
$\triangle UVW$ has angles $U$ (one arc), $W$ (two arcs), and side $VW$ (two tick marks).
Step2: Identify markings on $\triangle EFG$
$\triangle EFG$ has angles $F$ (one arc), $E$ (two arcs), and side $EG$ (one tick mark).
Step3: Identify markings on $\triangle BCD$
$\triangle BCD$ has angles $B$ (one arc), $C$ (two arcs), and side $CD$ (one tick mark).
Step4: Compare triangles for congruence
$\triangle EFG$ and $\triangle BCD$ both have a side with one tick mark adjacent to a two-arc angle and opposite a one-arc angle.
Step5: Match corresponding vertices
Angle $F \cong$ Angle $B$ (one arc), Angle $E \cong$ Angle $C$ (two arcs), and side $EG \cong$ side $CD$.
Answer:
$\triangle FEG \cong \triangle BCD$