NYSTCE 222 - Childhood Mathematics (Grade 1-6) Practice Exam 2025 - Free Practice Questions and Study Guide

The statement that similar figures have the same shape but not the same size accurately reflects the concept of similarity in geometry. Similar figures maintain the same angles and proportions between corresponding sides, which means they retain their overall shape regardless of their size. This allows them to be scaled versions of each other—one figure can be an enlargement or a reduction of the other.

For example, if you have two triangles, and their angles are exactly the same while the lengths of their sides are in proportion (such as one triangle being twice the size of the other), they are considered similar. This principle applies to various geometric shapes, whether triangles, rectangles, or any polygons.

The other statements don't align with the properties of similar figures. While different shapes and sizes may imply some level of relationship, it does not capture the essence of similarity. The equality of corresponding sides and congruence pertain to figures that are identical in both shape and size, which are different concepts from similarity.