Congruent Triangles with Corresponding Parts
About This Diagram
This diagram shows two congruent triangles (△ABC ≅ △DEF) with all corresponding parts labeled. Click on table rows to highlight corresponding parts on both triangles.
Corresponding Parts
Sides
| Triangle ABC | Triangle DEF | Length |
|---|---|---|
| AB | DE | 5 units |
| BC | EF | 7 units |
| AC | DF | 6 units |
Angles
| Triangle ABC | Triangle DEF | Measure |
|---|---|---|
| ∠A | ∠D | 60° |
| ∠B | ∠E | 80° |
| ∠C | ∠F | 40° |
Key Concepts
- Corresponding parts of congruent triangles have equal measures
- CPCTC: Corresponding Parts of Congruent Triangles are Congruent
- Order matters in congruence statements: ABC ≅ DEF means A↔D, B↔E, C↔F
- Tick marks indicate equal sides; arc marks indicate equal angles
Interaction
- Click table rows to highlight corresponding parts on both triangles
- Toggle "Correspondence" to show/hide connection curves
Learning Objectives
- Identify corresponding parts of congruent figures
- Apply CPCTC to determine equal measures
Bloom's Taxonomy Level
Understanding and Applying - Identifying correspondence.
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