Math Example--Geometric Shapes--Congruent Triangles--Example 5

Topic

Geometry

Description

The image shows two triangles, each intersecting a circle at two points and one of whose angles is a central angle. The triangles are ABC and DCE. 

We are given that AB ≅ DE. Furthermore, each triangle has two sides that correspond to radii of the circle and therefore those sides are congruent. As a result of the SSS Postulate, since corresponding sides of the triangle are congruent, then the triangles are congruent.

Seeing multiple worked-out examples is crucial for students as it reinforces their understanding of key concepts and allows them to see patterns and principles applied in different scenarios. This builds confidence and deepens comprehension.

Teacher Script: "In this example, we see two triangles: ABC and DCE are shown. tWe are given that AB ≅ DE. Furthermore, each triangle has two sides that correspond to radii of the circle and therefore those sides are congruent. As a result of the SSS Postulate, since corresponding sides of the triangle are congruent, then the triangles are congruent."

For a complete collection of math examples related to Geometry click on this link: Math Examples: Congruent Triangles Collection.