In this section, students are reminded about the basic properties of triangles, such as their definition and essential components, including sides, angles, and vertices. The section sets the stage for an in-depth exploration of triangle congruence, including various properties and inequalities related to triangles.
This section introduces triangles as a fundamental geometric shape formed by three intersecting lines, defined by three sides, three angles, and three vertices. For instance, a triangle labeled as
delta ABC, where AB, BC, and CA are the sides and angles are denoted as β A, β B, β C. The relationships between the sides and angles are pivotal as they contribute to properties explored in this chapter, specifically focusing on the congruence of triangles. The significance and applications of congruence are highlighted through everyday examplesβsuch as identical photographs and congruent shapes in objects we use daily. Using these examples, students are encouraged to consider additional instances of congruent figures, preparing them for deeper investigations into congruence rules and triangle properties.
Triangles: Defined as a figure with three sides, three angles, and three vertices.
Congruence: The property that two figures are identical in shape and size.
Triangles have three sides, it's plain to see, with angles and vertices, just like A, B, C.
Imagine a little triangle named Trixie, who loved to play with her friends Circle and Square, always joining together to create beautiful shapes.
Remember 'Tri' for triangle, because 'Tri' means three!
Term: Triangle
Definition:
A closed figure formed by three intersecting lines.
Term: Congruent Figures
Definition:
Figures that are equal in shape and size.
Term: Vertices
Definition:
The points where the sides of a triangle intersect.
Term: Angles
Definition:
The measure of the turn between two lines extending from a common point.