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Splash Screen. Five-Minute Check (over Lesson 10–7) Main Idea and Vocabulary Example 1: Classify Polygons Example 2: Classify Polygons Example 3: Angle Measures of a Polygon Example 4: Real-World Example. Lesson Menu. Classify polygons and determine which polygons can form a tessellation.

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 10–7) Main Idea and Vocabulary Example 1: Classify Polygons Example 2: Classify Polygons Example 3: Angle Measures of a Polygon Example 4: Real-World Example Lesson Menu

  3. Classify polygons and determine which polygons can form a tessellation. • Polygon: is a simple, closed figure formed by 3 or more straight line segments. • Pentagon: 5 sided polygon • Hexagon: 6 sided polygon • Heptagon: 7 sided polygon • Octagon: 8 sided polygon • Nonagon: 9 sided polygon • Decagon: 10 sided polygon • Regular Polygon: Has all sides and angles congruent. • Tessellation: A repetitive pattern of polygons that fit together with no overlaps or holes. Main Idea/Vocabulary

  4. Classify Polygons Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why. Answer: The figure is not a polygon since it has a curved side. Example 1

  5. A B C D Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why. A. polygon, regular B. pentagon, not regular C. not a polygon, sides overlap D. not a polygon, closed figure Example 1

  6. Classify Polygons Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why. Answer: This figure has 6 sides which are not all of equal length. It is a hexagon that is not regular. Example 2

  7. A B C D Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular.If it is not a polygon, explain why. A. polygon, regular B. polygon, not regular C. not a polygon, sides overlap D. not a polygon, closed figure Example 2

  8. Angle Measures of a Polygon ALGEBRA Find the measure of each angle of a regular heptagon. Round to the nearest tenth of a degree. Draw all of the diagonals from one vertex and count the number of triangles formed. Example 3

  9. number of triangles formed × 180° sum of angle measures in polygon = 5 × 180° = 900° Angle Measures of a Polygon Find the sum of the measures of the polygon. Find the measure of each angle of the polygon. Let n represent the measure of one angle in the heptagon. 7n = 900 There are seven congruent angles. n = 128.6 Divide each side by 7. Answer: The measure of each angle in a regular heptagon is 128.6°. Example 3

  10. A B C D Find the measure of each angle in a regular hexagon. A. 90° B. 104.2° C. 120° D. 132.8° Example 3

  11. . . PATTERNSMs. Pena is creating a pattern on a wall. She wants to use regular hexagons. Can Ms. Pena make a tessellation with regular hexagons? The measure of each angle in a regular hexagon is 120°. The sum of the measures of the angles where the vertices meet must be 360°. So, solve 120n = 360°. n = 3 Answer:Since 120° divides evenly into 360° the regular hexagon can be used. Interactive Lab: Tessellations Example 4

  12. A B QUILTING Emily is making a quilt using fabric pieces shaped as equilateral triangles. Can Emily tessellate the quilt with these fabric pieces? A. yes B. no Example 4

  13. End of the Lesson End of the Lesson

  14. Five-Minute Check (over Lesson 10–7) Image Bank Math Tools Tessellations Translations Resources

  15. A B C D Caren’s dollhouse furniture is made to scale of real furniturewith a ratio of inch to 1 foot. If a dollhouse table is 3.4inches wide and 4.2 inches long, what are the dimensions ofthe “real” table from which it was modeled? (over Lesson 10-7) Find the value of x in the pair of similar figures. Which statement is true? A. All squares are similar. B. All rectangles are similar. C. All right triangles are similar. D. All acute triangles are similar. Five Minute Check 1

  16. A B C D (over Lesson 10-7) Find the value of x in the pair of similar figures. A. 6.7 cm B. 10.6 cm C. 11.7 cm D. 43.9 cm Five Minute Check 1

  17. A B C D Caren’s dollhouse furniture is made to scale of real furniturewith a ratio of inch to 1 foot. If a dollhouse table is 3.4inches wide and 4.2 inches long, what are the dimensions ofthe “real” table from which it was modeled? (over Lesson 10-7) A. 16.3 ft by 20.1 ft B. 8.8 ft by 7.1 ft C. 8.5 ft by 10.5 ft D. 1.4 ft by 1.7 ft Five Minute Check 2

  18. A B C D (over Lesson 10-7) Which statement is true? A. All squares are similar. B. All rectangles are similar. C. All right triangles are similar. D. All acute triangles are similar. Five Minute Check 3

  19. End of Custom Shows

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