Question

the image in this figure was formed by reflecting △ghk over the y - axis and then over the x - axis. which congruence statement is not true? gh≅mn kh≅pn ∠k≅∠n ∠g≅∠m clear all

Explanation:

Step1: Recall reflection property

Reflections preserve congruence. Corresponding sides and angles of the original and reflected - figures are congruent.

Step2: Identify corresponding parts

When \(\triangle GHK\) is reflected over the \(y\) - axis and then over the \(x\) - axis to get the new triangle, we need to match the corresponding sides and angles.

Step3: Check each option

• For congruent triangles, corresponding sides and angles are equal. Looking at the figure, we can see that \(\overline{KH}\) and \(\overline{PN}\) are not corresponding sides. While the other options (\(\overline{GH}\cong\overline{MN}\), \(\angle K\cong\angle N\), \(\angle G\cong\angle M\)) represent corresponding congruent parts.

Answer:

\(\overline{KH}\cong\overline{PN}\)