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Congruent Triangles

Congruent Triangles. Congruent Polygons. REMEMBER THE VOCAB? CONGRUENT means: Two segments have equal length Two angles have the same measure Two polygons are congruent if they have the same size and shape. ALL corresponding angles and sides are congruent. Corresponding Parts.

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Congruent Triangles

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  1. Congruent Triangles

  2. Congruent Polygons • REMEMBER THE VOCAB? • CONGRUENT means: • Two segments have equal length • Two angles have the same measure • Two polygons are congruent if they have the same size and shape. • ALL corresponding angles and sides are congruent.

  3. Corresponding Parts • Corresponding angles are in the same position in polygons with an equal number of sides. • Which angles are corresponding? A E F C B D

  4. Corresponding Parts • Corresponding sides are in the same position in polygons with an equal number of sides. • Which sides are corresponding? A E F C B D

  5. Determining Corresponding Parts • Corresponding parts are given two ways:

  6. 1. Based on a Congruence Statement • Given a congruence statement, follow the order of the letters to determine which sides are corresponding. Corresponding Angles: Corresponding Sides:

  7. 2. Based on a given diagram • Given a diagram, use the tick marks or arc marks to determine the corresponding parts. Corresponding Angles: Corresponding Sides:

  8. EXAMPLE Name all corresponding parts. Find the value of x. Find the

  9. Corresponding Parts Activity You will be assigned to a group of 6 or 7 people. Each member of your group will represent one letter. As congruence statements are given, you are to match with the appropriate corresponding angles. When you are done, have me check. Then, you are to match with corresponding sides. Since letters for this will be repeated, you will have to self-check. Once all groups are finished, we will begin the next round.

  10. ROUND 1 • Corner 1 • Corner 2 • Corner 3

  11. ROUND 2 • Corner 1 • Corner 2 • Corner 3

  12. ROUND 3 • Corner 1 • Corner 2 • Corner 3

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