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Transcript

  • 1. 4.2 Congruence and Triangles Objectives: - Identify congruent figures and corresponding parts - Prove that 2 triangles are congruent
  • 2. Congruence
    • Two geometric figures are congruent if they have exactly the same size and shape.
    • When two figures are congruent, there is a correspondence between their angles and sides such that corresponding angles are congruent and corresponding sides are congruent.
  • 3. Congruence
    • If QRS is congruent to ABC, which angles are congruent?
    • Which sides are congruent?
    • It is important to list the corresponding angles in the right order. SQR is congruent to CAB, NOT SRQ is congruent to ABC
    A B C Q R S
  • 4. Turn to page 203
    • And do Example 2 together
  • 5. Third Angles Theorem
    • If 2 angles of one triangle are congruent to 2 angles of another triangle, then the third angles are also congruent.
  • 6. Now do Example 3
    • P. 203
    • And Example 4 on 204
    • And example 5 on 205
  • 7. Properties of Congruent Triangles
    • Reflexive Property of Congruent Triangles
      • Every triangle is congruent to itself
    • Symmetric Property of Congruent Triangles
      • If ∆ ABC ~= ∆ DEF, then ∆ DEF ~= ∆ ABC
    • Transitive Property of Congruent Triangles
      • If ∆ ABC ~= ∆ DEF and ∆ DEF ~= ∆ JKL then ∆ ABC ~= ∆ JKL
  • 8. Do p. 205 2-9, 23, 33
    • Homework: worksheets
    • Quiz tomorrow