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Identifying Congruent Polygons: A Guide to Trapezoids and Triangles

This lesson focuses on identifying congruent polygons, specifically trapezoids and triangles. Students are tasked with determining whether the shown trapezoids are congruent by examining their corresponding angles and sides. If congruent, students will formulate congruence statements. The lesson includes various examples and checks, allowing students to find missing angle measures and interior angle sums for different polygons, like hexagons and nonagons, enhancing their understanding of geometric properties.

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Identifying Congruent Polygons: A Guide to Trapezoids and Triangles

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

  2. KC 1

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

  4. 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

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

  6. 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

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

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

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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. End of Custom Shows

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