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 s on figure 1? figure 2 figure 1 answer the two figures congruent because are used to map figure 1 onto figure 2. angle correspon s:

Explanation:

Step1: Analyze Congruence Transformations

To determine if two figures are congruent, we check if one can be mapped to the other using rigid transformations (translation, rotation, reflection). These transformations preserve size and shape.

Step2: Identify Corresponding Angles

For congruent figures, corresponding angles are equal. By analyzing the orientation and structure of Figure 1 and Figure 2, we find the angle in Figure 2 that matches angle \( S \) in Figure 1. From the diagram, the angle corresponding to \( \angle S \) is \( \angle E \) (or by matching the vertex and side relationships, the angle at \( E \) in Figure 2 corresponds to angle \( S \) in Figure 1 after applying rigid transformations). Also, the two figures are congruent because rigid transformations (like rotation and translation) can map Figure 1 onto Figure 2.

Answer:

The two figures are congruent because rigid transformations (rotation, translation) are used to map Figure 1 onto Figure 2. The angle corresponding to \( \angle S \) is \( \angle E \) (or the angle at vertex \( E \) in Figure 2).