Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 5

Topic

Geometric Shapes

Description

Determine if two triangles, ABC and DEF, are congruent. Triangle ABC has sides 5 and 6 with an included angle of 60°, and triangle DEF has sides 5 and 6 with an included angle of 62°. Because corresponding angles are not congruent, then the triangles are not congruent.

Congruence of shapes is fundamental in geometry as it allows us to establish relationships between figures and understand properties of transformations. This example collection illustrates congruence by analyzing side lengths and angles to determine equivalence.

Providing multiple worked-out examples of congruent shapes is essential for students to recognize patterns, understand the concept, and apply it in various contexts.

Teacher Script: "Look at the given triangles, ABC and DEF. Notice corresponding sides and angle. What can you conclude about whether these triangles are congruent or not? Let’s analyze step by step to ensure understanding."

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