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Understanding Congruent Triangles in Geometry

Learn how to identify congruent triangles and corresponding parts in figures by comparing angles and sides. Discover how to list congruent corresponding parts and determine the properties of congruent triangles.

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Understanding Congruent Triangles in Geometry

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  1. Geometry 5.1 SWLT: Identify Congruent Triangles and Corresponding Parts

  2. Congruent Figures • Two figures are congruent if… • All pairs of corresponding angles are congruent • All pairs of corresponding sides are congruent

  3. Identifying Corresponding Parts PHD MBA List the Congruent Corresponding Parts P M H B D A P • 1st Pair of Angles • 2nd Pair of Angles • 3rd Pair of Angles • 1st Pair of Sides • 2nd Pair of Sides • 3rd Pair of Sides H D M B A

  4. Using Properties of Congruent Triangles • Given: ABC XYZ • What is the mA • 95° • What does XY = • 10 • Order Matters!!! A 10 12 C B Y 95° X Z

  5. Order Matters:Which is the Correct Congruency Statement H • WCJ BHO • WJC BHO • CJW HOB • WJC BOH • Why? • Corresponding Parts must match 80° 18 8 15° B 16 85° C O 85° 16 8 15° W 80° 18 J

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