Display Title
Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 4
Display Title
Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 4
Topic
Geometric Shapes
Description
Determine if two triangles, ABC and DEF, are congruent. Both triangles have two sides (5 and 6) and an included angle of 60°. As a results of the SAS Postulate, the triangles are 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 how two corresponding sides and and included angle are congruent. How do we know these triangles are congruent? 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.
Common Core Standards | CCSS.MATH.CONTENT.8.G.A.2, CCSS.MATH.CONTENT.HSG.CO.B.7, CCSS.MATH.CONTENT.HSG.CO.B.8 |
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Grade Range | 8 - 10 |
Curriculum Nodes |
Geometry • Triangles • Definition of a Triangle |
Copyright Year | 2020 |
Keywords | congruence |