Math Example--Geometric Shapes--Congruent Triangles--Example 4

Topic

Geometry

Description

This image shows two triangles ABD and CBD sharing a common side BD. Given information includes AD ≅ CD and AB ≅ BC. The solution points out that BD is common to both triangles and uses this to conclude that the triangles are congruent by the SSS Postulate.

In this topic, students explore the 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 4: The caption asks if these triangles are congruent. the solution states that since two pairs of corresponding sides are given as congruent (AD ≅ CD and AB ≅ BC) and bd is common to both triangles, all three sets of sides are congruent. By the SSS postulate, the two triangles ABD and CBD are congruent. 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.