Question

if debc ≅ mjkl, what are the corresponding parts? select all that apply. (overline{dc}congoverline{jm}) (angle econgangle m) (angle ccongangle l) (overline{de}congoverline{mj})

Explanation:

Step1: Recall congruent - figure property

When two figures are congruent, their corresponding sides and angles are congruent. The order of the letters in the congruence statement gives the correspondence.

Step2: Analyze side - correspondences

For the congruence $DEBC\cong MJKL$, the first - letter of the first figure corresponds to the first - letter of the second figure, the second - letter to the second, and so on. So, $\overline{DE}\cong\overline{MJ}$, $\overline{EB}\cong\overline{JK}$, $\overline{BC}\cong\overline{KL}$, $\overline{CD}\cong\overline{LM}$.

Step3: Analyze angle - correspondences

$\angle D\cong\angle M$, $\angle E\cong\angle J$, $\angle B\cong\angle K$, $\angle C\cong\angle L$.

Answer:

$\overline{DE}\cong\overline{MJ}$, $\angle C\cong\angle L$