Question

1. directions

drag and drop the correct answer choice to each answer blank.
△tdw was formed by reflecting △lxp across the x - axis.
write congruency statements for the corresponding sides and angles of △lxp and the image, △tdw.

Explanation:

Step1: Recall reflection property

When a figure is reflected, corresponding sides and angles are congruent.

Step2: Identify corresponding sides

Side $\overline{LX}$ corresponds to $\overline{TD}$, $\overline{XP}$ corresponds to $\overline{DW}$, and $\overline{LP}$ corresponds to $\overline{TW}$. So, $\overline{LX}\cong\overline{TD}$, $\overline{XP}\cong\overline{DW}$, $\overline{LP}\cong\overline{TW}$.

Step3: Identify corresponding angles

$\angle L$ corresponds to $\angle T$, $\angle X$ corresponds to $\angle D$, $\angle P$ corresponds to $\angle W$. So, $\angle L\cong\angle T$, $\angle X\cong\angle D$, $\angle P\cong\angle W$.

Answer:

Corresponding sides: $\overline{LX}\cong\overline{TD}$, $\overline{XP}\cong\overline{DW}$, $\overline{LP}\cong\overline{TW}$; Corresponding angles: $\angle L\cong\angle T$, $\angle X\cong\angle D$, $\angle P\cong\angle W$