1 / 27

Lesson 6.3 Congruent Polygons and Circles pp. 220-224

Lesson 6.3 Congruent Polygons and Circles pp. 220-224. Objectives: 1. To define congruent polygons and congruent circles. 2. To use correct notation and criteria for congruent polygons.

ilyssa
Download Presentation

Lesson 6.3 Congruent Polygons and Circles pp. 220-224

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lesson 6.3 Congruent Polygons and Circles pp. 220-224

  2. Objectives: 1. To define congruent polygons and congruent circles. 2. To use correct notation and criteria for congruent polygons.

  3. Remember, segments are not equal when they have the same measure, they are congruent. The symbol for congruence is . The symbol  is used for all congruent figures, not just for segments and angles.

  4. Definition Congruent circles are circles with congruent radii. Congruent polygons are polygons that have three properties: 1) same number of sides, 2) corresponding sides are congruent, and 3) corresponding angles are congruent.

  5. A Are ABC & DEF congruent? C B F E D ABC  DEF

  6. B Y A C Z X AB  1. YX 2. XY 3. ZY 4. XZ Given ABC  XYZ

  7. B Y A C Z X Given ABC  XYZ B  1. X 2. Y 3. Z

  8. B Y A C Z X Given ABC  XYZ CBA  1. XYZ 2. YZX 3. ZYX 4. XZY

  9. B Y A C Z X Given ABC  XYZ ACB  1. XYZ 2. YZX 3. ZYX 4. XZY

  10. Definition Congruent trianglesare triangles in which corresponding angles and corresponding sides are congruent.

  11. Theorem 6.9 Triangle congruence is an equivalence relation.

  12. Remember, an equivalence relation is a relation that is reflexive, symmetric, and transitive.

  13. Theorem 6.10 Circle congruence is an equivalence relation.

  14. Theorem 6.11 Polygon congruence is an equivalence relation.

  15. Homework pp. 223-224

  16. C L B A P Q ►A. Exercises Write the correct triangle congruence statement for each pair. 1.

  17. U K H P A T ►A. Exercises Write the correct triangle congruence statement for each pair. 5.

  18. ►A. Exercises Name the congruent triangles using correct notation. 9. TSI N D I T A S

  19. ►A. Exercises Name the congruent corresponding parts of the congruent triangles. 11. QMN  LPS

  20. A C B Z X ►B. Exercises Use the figure for exercises 14-17. 14. Why are the angles at B congruent?

  21. ►B. Exercises Use the figure for exercises 14-17. 15. Why is B the midpoint of CZ? A C B Z X

  22. A C B Z X ►B. Exercises Use the figure for exercises 14-17. 16. Name the congruent triangles.

  23. ■ Cumulative Review Match. Be as specific as possible. 21. A. Acute & equilateral B. Acute & isosceles C. Acute & scalene D. Right & equilateral E. Right & isosceles F. Right & scalene G. Obtuse & equilateral H. Obtuse & isosceles I. Obtuse & scalene

  24. ■ Cumulative Review Match. Be as specific as possible. 22. A. Acute & equilateral B. Acute & isosceles C. Acute & scalene D. Right & equilateral E. Right & isosceles F. Right & scalene G. Obtuse & equilateral H. Obtuse & isosceles I. Obtuse & scalene

  25. ■ Cumulative Review Match. Be as specific as possible. 23. A. Acute & equilateral B. Acute & isosceles C. Acute & scalene D. Right & equilateral E. Right & isosceles F. Right & scalene G. Obtuse & equilateral H. Obtuse & isosceles I. Obtuse & scalene

  26. ■ Cumulative Review Match. Be as specific as possible. 24. A. Acute & equilateral B. Acute & isosceles C. Acute & scalene D. Right & equilateral E. Right & isosceles F. Right & scalene G. Obtuse & equilateral H. Obtuse & isosceles I. Obtuse & scalene

  27. ■ Cumulative Review 25. Which two choices describe impossible triangles? A. Acute & equilateral B. Acute & isosceles C. Acute & scalene D. Right & equilateral E. Right & isosceles F. Right & scalene G. Obtuse & equilateral H. Obtuse & isosceles I. Obtuse & scalene

More Related