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4.3

4.3. Congruent Polygons. Congruent Shapes. Corresponding Angles are congruent Corresponding Sides are congruent. Important !. When making a congruency statement, you are saying which parts are congruent. EX. Sides: PQ  ST , QR  TW , PR  SW.

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4.3

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  1. 4.3 Congruent Polygons

  2. Congruent Shapes • Corresponding Angles are congruent • Corresponding Sides are congruent

  3. Important ! • When making a congruency statement, you are saying which parts are congruent. • EX.

  4. Sides: PQ ST, QR  TW, PR  SW Example 2: Naming Congruent Corresponding Parts Given: ∆PQR ∆STW Identify all pairs of corresponding congruent parts. Angles: P  S, Q  T, R  W

  5. Example 2A: Using Corresponding Parts of Congruent Triangles Given: ∆ABC ∆DBC. Find the value of x.

  6. Example 2B: Using Corresponding Parts of Congruent Triangles Given: ∆ABC ∆DBC. Find mDBC.

  7. Given:YWXandYWZ are right angles. YW bisects XYZ. W is the midpoint of XZ. XY  YZ. Prove: ∆XYW  ∆ZYW

  8. 5.1 • Congruent Triangles

  9. Shortcuts for Triangles SSS

  10. Use SSS to explain why ∆ABC  ∆DBC.

  11. Another shortcut for triangles SAS

  12. The diagram shows part of the support structure for a tower. Use SAS to explain why ∆XYZ  ∆VWZ.

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