Question

determine if the two figures below are congruent. use the drop - down menus below to justify why. which angle on figure 2 corresponds to angle y on figure 1?
(there is a coordinate plane with figure 1 (a triangle labeled w, y, v) and figure 2 (a triangle labeled n, m, l, k) shown. then there are drop - down menus and a box for answering about the congruence and corresponding angle.)
answer
the two figures

• congruent because
• are used to map figure 1 onto figure 2.

angle corresponding to angle y: ∠

Explanation:

Step1: Recall Congruent Figures

Congruent figures have the same shape and size, and corresponding angles are equal. To find the corresponding angle to \( \angle Y \) in Figure 2, we analyze the structure of the triangles.

Step2: Identify Corresponding Angles

Looking at the orientation and structure of the two triangles (after considering transformations like translation, rotation, reflection), the angle in Figure 2 that corresponds to \( \angle Y \) in Figure 1 is \( \angle M \). This is because the triangles are congruent (same shape, size, and angle measures), and the position of \( \angle Y \) (a vertex angle in the triangle) matches the position of \( \angle M \) in Figure 2 when considering the congruence and mapping.

Answer:

\( \angle M \)