Math Example--Geometric Shapes--Congruent Triangles--Example 1

Topic

Geometry

Description

This image shows two triangles labeled ABC and DEF. The triangles are oriented differently but have corresponding sides and angles marked as congruent. The table below the triangles lists the congruent sides and angles.

In this topic, students explore principles of Geometry, particularly focusing on congruence in geometric shapes. Examples like this help build an understanding of how congruence is determined by matching angles and sides.

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 where example 1: the caption asks what can be concluded if the triangles are congruent. the solution shows that corresponding sides and angles are congruent. It lists: AB ≅ DE, BC ≅ EF, AC ≅ DF for sides, and ∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F for angles. Notice how the angles and sides correspond to each other. Can you identify which congruence theorem applies here?"

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