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Understanding Congruent Figures in Geometry

Learn about congruent figures in geometry, where matching sides and angles are identical. Find congruent parts in polygons by matching corresponding vertices. Explore techniques for identifying congruent triangles and applying the Third Angles Theorem. Understand how to prove triangles are congruent.

noelle-mcdowell
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Understanding Congruent Figures in Geometry

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  1. 4-1 Congruent Figures

  2. Congruent Figures • Congruent polygons have congruent corresponding parts—their matching sides and angles. • When you name congruent polygons, you must list corresponding vertices in the same order.

  3. Finding Congruent Parts • If HIJK  LMNO, what are the congruent corresponding parts?

  4. If WYS  MKV, what are the congruent corresponding parts?

  5. Finding Congruent Triangles • Are the triangles congruent? Justify your answer.

  6. Is ABD  CBD? Justify your answer.

  7. Third Angles Theorem • If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.

  8. Proving Triangles Congruent

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