4.2 congruence and triangles

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4.2 congruence and triangles

  1. 1. Congruence and Triangles
  2. 2. Congruent Figures • Two plane figures are congruent if they are the same size and shape - that is, if their corresponding angles are equal and their corresponding sides are equal. http://www.math.com/school/subject3/lessons/S3U3L1GL.html
  3. 3. ∠A P≅ ∠ ∠B Q≅ ∠ ∠C R≅ ∠ Corresponding Angles Corresponding Sides PQAB ≅ QRBC ≅ PRAC ≅
  4. 4. Example 1 Corresponding Angles Corresponding Sides a. Find the value of x. b. Find the value of y. ∠D K≅ ∠ ∠E L≅ ∠ ∠F M≅ ∠ ∠G N≅ ∠ KLDE ≅ LMEF ≅ MNFG ≅ KNDG ≅
  5. 5. Theorem 4.3 – Third Angles Theorem • If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.
  6. 6. Example 2- Using the 3rd Angle Theorem • Find the value of x in the diagram.
  7. 7. Example 3 – Determining whether triangles are congruent • Decide if the triangles are congruent. Justify your reasoning.
  8. 8. Homework • Exercise 4.2 page 205: 1-39, odd.

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