FiveMinute Check over Lesson 10 7 Main Idea

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

• 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.

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.

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 1. 2. 3. 4. A B C D

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.

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 1. 2. 3. 4. A B C D

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.

Angle Measures of a Polygon Find the sum of the measures of the polygon. number of triangles sum of angle measures = formed × 180° in polygon 5 × 180° = 900° Find the measure of each angle of the polygon. Let n represent the measure of one angle in the heptagon. 7 n = 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°.

Find the measure of each angle in a regular hexagon. A. 90° B. 104. 2° C. 120° D. 132. 8° 1. 2. 3. 4. A B C D

PATTERNS Ms. 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 120 n = 360°. . . n=3 Answer: Since 120° divides evenly into 360° the regular hexagon can be used. Interactive Lab: Tessellations

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 1. 2. A B

End of the Lesson

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

(over Lesson 10 -7) Find the value of x in the pair of similar figures. Caren’s dollhouse furniture is made to scale of real furniture with a ratio of inch to 1 foot. If a dollhouse table is 3. 4 inches wide and 4. 2 inches long, what are the dimensions of the “real” table from which it was modeled? Which statement is true? 1. 2. 3. 4. A B C D A. All squares are similar. B. All rectangles are similar. C. All right triangles are similar. D. All acute triangles are similar.

(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 1. 2. 3. 4. A B C D

(over Lesson 10 -7) Caren’s dollhouse furniture is made to scale of real furniture with a ratio of inch to 1 foot. If a dollhouse table is 3. 4 inches wide and 4. 2 inches long, what are the dimensions of the “real” table from which it was modeled? 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 1. 2. 3. 4. 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. 1. 2. 3. 4. A B C D