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Understanding Congruent Triangles: Naming and Transformations

Learn to name and label corresponding parts of congruent triangles, identify congruence transformations, and explore the definitions and properties of congruent triangles. Dive into examples and interesting facts about congruence theorems. Practice with assignments and worksheets to enhance your understanding in geometry.

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Understanding Congruent Triangles: Naming and Transformations

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  1. Geometry Notes Section 4-3

  2. What you’ll learn. . . . • How to name and label corresponding parts of congruent triangles. • How to identify congruence transformations.

  3. Vocabulary • Congruent triangles • Congruence transformations

  4. Definition of Congruent Triangles First . . . Congruence is a relationship between at least 2 triangles. • Two triangles are congruent if and only if their corresponding parts are congruent.

  5. Two triangles are congruent if and only if their corresponding parts are congruent. • Corresponding • Partsof • Congruent • Trianglesare • Congruent

  6. Example #1: Identify the congruent triangles in each figure.

  7. Example #2: Identify the congruent triangles in each figure.

  8. 3 Interesting Facts about Congruent Triangles. . . .(theorems). . . . First . . . Congruence of triangles is reflexive. Second . . . Congruence of triangles is symmetric. Third . . . Congruence of triangles is transitive.

  9. Congruence of triangles is reflexive. If you have a triangle, it is congruent to itself.

  10. Congruence of triangles is symmetric. If ΔABCΔDEF,then ΔDEFΔABC .

  11. Congruence of triangles is transitive. If ΔABCΔDEF and ΔDEFΔGHI then ΔABCΔGHI.

  12. Definition of Congruence Transformation. . . . Recall the transformations slides, flips, and turns. Will these transformations change the shape of a triangle? NO. If you slide, flip, or turn a triangle the resulting triangle is congruent to the original.

  13. Example Problem #3: • Describe the congruence transformation between the two triangles as a slide, a flip, or a turn. Then name the congruent triangles.

  14. Have you learned. . . . • How to name and label corresponding parts of congruent triangles. • How to identify congruence transformations. • Assignment: • Non-Proof: Worksheet 4-3 • Proof: p.195(10-34Even)

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