Question

completing statements about congruent triangles
given that $\triangle jkl \cong \triangle uvw$ and $\triangle uvw \cong \triangle abc$, complete the following statements.
triangle jkl is congruent to triangle \boxed{\quad}.
side lk corresponds to sides \boxed{\quad}.
angle jlk corresponds to angles \boxed{\quad}.

Explanation:

Step1: Use Transitive Property of Congruence

Congruence of triangles is transitive, so if $\triangle JKL \cong \triangle UVW$ and $\triangle UVW \cong \triangle ABC$, then $\triangle JKL \cong \triangle ABC$.

Step2: Determine Corresponding Sides

For congruent triangles, corresponding sides are in the order of the vertices. In $\triangle JKL \cong \triangle UVW$, side $LK$ corresponds to $WV$. In $\triangle UVW \cong \triangle ABC$, side $WV$ corresponds to $CB$. So $LK$ corresponds to $WV$ and $CB$.

Step3: Determine Corresponding Angles

For congruent triangles, corresponding angles are in the order of the vertices. In $\triangle JKL \cong \triangle UVW$, angle $JLK$ corresponds to $UVW$. In $\triangle UVW \cong \triangle ABC$, angle $UVW$ corresponds to $ABC$. So angle $JLK$ corresponds to $UVW$ and $ABC$.

Answer:

1. Triangle JKL is congruent to triangle $\boldsymbol{ABC}$.
2. Side LK corresponds to sides $\boldsymbol{WV}$ and $\boldsymbol{CB}$.
3. Angle JLK corresponds to angles $\boldsymbol{UVW}$ and $\boldsymbol{ABC}$.