Question

problem 16: (first taught in lesson 32)
if △jkl≅△qrs, select the choice containing all of the congruent sides from the two triangles.
a. $overline{jk}congoverline{rs}$, $overline{kl}congoverline{qs}$, $overline{jl}congoverline{qr}$
b. $overline{jk}congoverline{qr}$, $overline{kl}congoverline{rs}$, $overline{jl}congoverline{qs}$
c. $overline{jk}congoverline{rs}$, $overline{kl}congoverline{qr}$, $overline{jl}congoverline{qs}$
d. $overline{jk}congoverline{qr}$, $overline{kl}congoverline{qs}$, $overline{jl}congoverline{rs}$
e. $overline{jk}congoverline{qs}$, $overline{kl}congoverline{rs}$, $overline{jl}congoverline{qr}$

Explanation:

Step1: Recall congruent - triangle side - correspondence

When $\triangle{JKL}\cong\triangle{QRS}$, the vertices are in corresponding order. So, $J$ corresponds to $Q$, $K$ corresponds to $R$, and $L$ corresponds to $S$.

Step2: Identify congruent sides

Corresponding sides of congruent triangles are congruent. So, $\overline{JK}$ corresponds to $\overline{QR}$, $\overline{KL}$ corresponds to $\overline{RS}$, and $\overline{JL}$ corresponds to $\overline{QS}$, i.e., $\overline{JK}\cong\overline{QR},\overline{KL}\cong\overline{RS},\overline{JL}\cong\overline{QS}$.

Answer:

B. $\overline{JK}\cong\overline{QR},\overline{KL}\cong\overline{RS},\overline{JL}\cong\overline{QS}$