1. 8-8 Geometric Patterns Warm Up Divide. 1. What is the sum of the angle measures in a quadrilateral? 2. What is the sum of the angle measures in a hexagon? 3. What is the measure of each angle in a regular octagon? 360° 720° 135°

2. 8-8 Geometric Patterns Learn to recognize, describe, and extend geometric patterns.

3. 8-8 Geometric Patterns Additional Example 1A: Extending Geometric Patterns Identify a possible pattern. Use the pattern to draw the next figure. Each circle has one more dot than the one to its left. The dots are positioned around the circle from top to bottom and right to left. So the next figure might look like this:

4. 8-8 Geometric Patterns Additional Example 1B: Extending Geometric Patterns Identify a possible pattern. Use the pattern to draw the next figure. Each figure has one or two more circles than the figure to its left. So the next figure might look like this:

5. 8-8 Geometric Patterns Check It Out: Example 1A Identify a possible pattern. Use the pattern to draw the next figure. Each square has one more dot than the one to its left. The dots are positioned around the square in a clockwise direction. So the next figure might look like this:

6. 8-8 Geometric Patterns Check It Out: Example 1B Identify a possible pattern. Use the pattern to draw the next figure. Each figure has two more triangles than the figure before it. The green triangle alternates between pointing up and down in each figure.. So the next figure might look like this:

7. 8-8 Geometric Patterns Additional Example 2A: Completing Geometric Patterns Identify a possible pattern. Use the pattern to draw the missing figure. The first figure has 1 right triangle. The second figure has 2 right triangles arranged counterclockwise. The fourth figure has 4 right triangles. So the missing figure might look like this:

8. 8-8 Geometric Patterns Additional Example 2B: Completing Geometric Patterns Identify a possible pattern. Use the pattern to draw the missing figure. The first figure has 1 dot. The second figure is double the first figure, vertically. The third figure is double the second figure, horizontally. The fourth figure could be double the third figure, vertically, and then the fifth figure will be double the fourth figure, horizontally. So the missing figure might look like this:

9. 8-8 Geometric Patterns Check It Out: Example 2A Identify a possible pattern. Use the pattern to draw the missing figure. Each figure has 1 more square than the previous figure. So the missing figure might look like this: ?

10. 8-8 Geometric Patterns Check It Out: Example 2B Identify a possible pattern. Use the pattern to draw the missing figure. Each figure is a right triangle. The first figure has 2 red triangles along the base. The third figure has 4 red triangles, and the last figure has 5. ? So the missing figure might look like this:

11. 8-8 Geometric Patterns Additional Example 3: Art Application Travis is painting a platter. Identify a pattern that Travis is using and draw what the finished platter might look like. The pattern from inside to outside is narrow stripe, narrow stripe, wide stripe, narrow stripe, narrow stripe, wide stripe. The color pattern from inside to outside is brown, green, brown, green. Following this pattern, the finished platter might look like this platter.

12. 8-8 Geometric Patterns Check It Out: Example 3 Nancy is designing a plate. Identify a pattern that Nancy is using and draw what the finished plate might look like. The pattern from inside to outside is narrow stripe, wide stripe, narrow stripe, wide stripe. The color pattern from inside to outside is dark blue, light blue, dark blue, light blue. Following this pattern, the finished plate might look like this plate.

13. 8-8 Geometric Patterns Lesson Quiz Identify a possible pattern. Use the pattern to draw the next figure. Possible answer: