which two triangles are congruent by the sss theorem? complete the congruence statement.\n$\\delta \\square…
which two triangles are congruent by the sss theorem? complete the congruence statement.\n$\\delta \\square \\cong \\delta \\square$
Answer
Explanation:
Step1: Identify side markings for $\triangle GFE$
Side $GE$ has 1 tick, $FE$ has 2 ticks, and $GF$ has 3 ticks.
Step2: Identify side markings for $\triangle UST$
Side $UT$ has 1 tick, $ST$ has 2 ticks, and $US$ has 3 ticks.
Step3: Identify side markings for $\triangle IHJ$
Side $IH$ has 1 tick, $IJ$ has 2 ticks, and $HJ$ has 3 ticks.
Step4: Match triangles with identical side sets
$\triangle GFE$ and $\triangle UST$ both have sides with 1, 2, and 3 ticks.
Step5: Map corresponding vertices by side lengths
$G \leftrightarrow U$ (between 1 and 3), $F \leftrightarrow S$ (between 2 and 3), $E \leftrightarrow T$ (between 1 and 2).
Answer:
$\triangle GFE \cong \triangle UST$