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Understanding Congruent Figures: Lesson & Properties

Learn to identify congruent figures accurately by matching corresponding parts. Discover properties and postulates to justify conclusions. Multiplication, Subtraction, Substitution, and Reflexive properties explored.

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Understanding Congruent Figures: Lesson & Properties

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  1. What are Congruent figures? Lesson 3.1 Understand the concept of congruent figures and accurately identify the corresponding parts of figures.

  2. Congruent figures: Same size, same shape • All sides, angles, and points the same • Match up the same

  3. Ex.1: B Y A C X Z If ABC = XYZ then A X, B Y,  C  Z and AB  XY, BC  YZ, CA  ZX * Notice letters match up in order

  4. Definition:  all pairs of corresponding parts are . • “implies” “If..., then...” • the statement is reversible

  5. In later chapters  polygons all pairs of corresponding parts are .

  6. ITK  ETK IK  EK IT  ET KT  KT (all use the reflexive property) Ex. 2: K I E T Postulate: any segment or angle is congruent to itself (reflexive property) Name  Name  Name  Sides KET is a reflection of KIT IKT  EKT KET  KIT

  7. Try to justify each conclusion with one of the properties presented in Chapter 2 and in this section. • Multiplication Property • Subtraction Property • Substitution • Reflexive Property

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