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Geometry

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Geometry

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    1. Geometry

    2. Congruent triangles have three congruent sides and and three congruent angles. However, triangles can be proved congruent without showing 3 pairs of congruent sides and angles. Congruent Triangles

    4. Theorem If two angles in one triangle are congruent to two angles in another triangle, the third angles must also be congruent.

    5. A closer look... If two triangles have two pairs of angles congruent, then their third pair of angles is congruent.

    6. Example

    7. So, how do we prove that two triangles really are congruent?

    19. Example 4 Why are the two triangles congruent? What are the corresponding vertices?

    20. Example 5 Why are the two triangles congruent? What are the corresponding vertices?

    21. Example 6 Given:

    22. Example 7 Given:

    23. Summary:

    24. Summary --- for Right Triangles Only:

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