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4.2 congruence and triangles
4.2 congruence and triangles
4.2 congruence and triangles
4.2 congruence and triangles
4.2 congruence and triangles
4.2 congruence and triangles
4.2 congruence and triangles
4.2 congruence and triangles
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4.2 congruence and triangles

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  • 1. Congruence and Triangles
  • 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. ∠A P≅ ∠ ∠B Q≅ ∠ ∠C R≅ ∠ Corresponding Angles Corresponding Sides PQAB ≅ QRBC ≅ PRAC ≅
  • 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. 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. Example 2- Using the 3rd Angle Theorem • Find the value of x in the diagram.
  • 7. Example 3 – Determining whether triangles are congruent • Decide if the triangles are congruent. Justify your reasoning.
  • 8. Homework • Exercise 4.2 page 205: 1-39, odd.

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