5.9Overlapping Triangles
Quick Answer
In overlapping triangle figures, look for shared sides (Reflexive Property) and shared angles. Redrawing the two triangles separately can help identify corresponding parts.
Essential Question
How do we identify the corresponding parts of overlapping triangles and use them to write a congruence proof?
Learning Goals
- 1Identify overlapping triangles within a figure.
- 2Recognize shared sides and angles using the Reflexive Property.
- 3Redraw overlapping triangles separately to clarify corresponding parts.
- 4Write complete proofs for overlapping triangle figures.
Key Vocabulary
Overlapping triangles
Two triangles that share one or more sides or angles within the same figure.
Common side
A side shared by two triangles in the same figure; congruent to itself by the Reflexive Property.
Common angle
An angle shared by two triangles in the same figure; congruent to itself by the Reflexive Property.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.