Chapter 1
Numbers and Operations
Course: Gace Middle Grades Math 4 8 704
Subject: Gace Middle Grades Math 4 8 704
Chapter: Geometry And Measurement
Congruence and similarity describe precise ways in which figures can be compared. Congruence means that figures are exactly the same in both shape and size, while similarity means they share the same shape but may differ in size. These concepts are central to geometry because they allow us to prove relationships between figures, solve for unknown measures, and apply proportional reasoning in both two-dimensional and three-dimensional contexts.
1. Determines whether two figures are congruent or similar
Congruence
Two figures are congruent if they are identical in shape and size. This means their corresponding sides have equal length and their corresponding angles are equal in measure. Congruent figures can be mapped onto each other using rigid transformations, also called isometries, which include translations, rotations, and reflections.