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Using Congruent Triangles

Using Congruent Triangles. Class Worksheet Part 2. Helpful Information. Deducing information about segments and angles AFTER proving that the two triangles are congruent. Sometimes it will be helpful to plan the proof before you get started. Remember to start with the 3-2-3.

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Using Congruent Triangles

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  1. Using Congruent Triangles Class Worksheet Part 2

  2. Helpful Information • Deducing information about segments and angles AFTER proving that the two triangles are congruent. • Sometimes it will be helpful to plan the proof before you get started. • Remember to start with the 3-2-3. • CPCTC always follows 2 congruent triangles. • Start at the ends and fill in the middle last.

  3. Popular Reasons in a Proof • Definition of a midpoint • Two Congruent Segments • Definition of a bisector (or angle bisector) • Two Congruent Segments (or angles) • Reflexive Property • Shared segments • Transitive Property • If a = b and b = c, then a = c. • Symmetric Property • If a = b, then b = a.

  4. More Popular Reasons… • Parallel Lines • Alternate Interior Angles • Corresponding Angles • Same Side Interior Angles • Vertical Angles • Methods of Congruence • SSS, SAS, ASA, AAS or HL

  5. Complete the following proof:

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