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Understanding Congruent Polygons: Identification and Measure Techniques

In this lesson on congruent polygons, students will learn to identify congruent shapes by analyzing corresponding sides and angles. Through multiple examples, learners will determine if trapezoids and triangles are congruent and find missing measures based on congruence statements. Interactive examples aid in developing a solid understanding of the concept. This engaging lesson also includes a five-minute check to reinforce learning and assess understanding of the key concepts of congruence in polygons.

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Understanding Congruent Polygons: Identification and Measure Techniques

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 6–3) Main Idea and Vocabulary Key Concept: Congruent Polygons Example 1: Identify Congruent Polygons Example 2: Find Missing Measures Example 3: Find Missing Measures Lesson Menu

  3. Identify congruent polygons. • congruent polygon Main Idea/Vocabulary

  4. KC 1

  5. Identify Congruent Polygons Determine whether the trapezoids shown are congruent. If so, name the corresponding parts and write a congruence statement. Example 1

  6. Identify Congruent Polygons Answer: Since all pairs of corresponding angles and sides are congruent, the two trapezoids are congruent. One congruence statement is trapezoid EFGH  trapezoid QRST. Example 1

  7. A B C D A.B. C.D. If the triangles shown are congruent, which of the following statements is false. Example 1

  8. According to the congruence statement, H and S are corresponding angles. So, Find Missing Measures Answer: Since mH = 35°, mS = 35°. Example 2

  9. A B C D In the figure, A. 50° B. 55° C. 70° D. 75° Example 2

  10. In the figure, Find Missing Measures Answer: Since FG = 6 centimeters, QR = 6 centimeters. Example 3

  11. A B C D In the figures, A. 3 in. B. 4 in. C. 5 in. D. 6 in. Example 3

  12. End of the Lesson End of the Lesson

  13. Five-Minute Check (over Lesson 6–3) Image Bank Math Tools Investigating Congruent Triangles Reflections Resources

  14. A B C D (over Lesson 6-3) Find the sum of the interior angle measures of a hexagon. A. 720° B. 540° C. 900° D. 1080° Five Minute Check 1

  15. A B C D (over Lesson 6-3) Find the sum of the interior angle measures of a nonagon. A. 900° B. 1080° C. 1260° D. 1620° Five Minute Check 2

  16. A B C D (over Lesson 6-3) Find the measure of one interior angle in a regular octagon. Round to the nearest tenth if necessary. A. 135° B. 270° C. 540° D. 1080° Five Minute Check 3

  17. A B C D (over Lesson 6-3) Find the measure of one interior angle in a regular 14-gon. Round to the nearest tenth is necessary. A. 308.6° B. 154.3° C. 1080° D. 2160° Five Minute Check 4

  18. A B C D (over Lesson 6-3) Find the measure of one interior angle in a regular 56-gon. Round to the nearest tenth if necessary. A. 86.8° B. 9720° C. 3992.8° D. 173.6° Five Minute Check 5

  19. A B C D A. B. C.D. (over Lesson 6-3) The following statements are true about triangle XYZ. What are the angle measures of triangle XYZ? Five Minute Check 6

  20. End of Custom Shows

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