Lesson 10-7 Pages 446-450

Polygons and Tessellations

What you will learn!

How to classify polygons and determine which polygons can form a

tessellation.

PolygonPolygon NonagonNonagonPentagonPentagon DecagonDecagonHexagonHexagon Regular polygonRegular polygonHeptagonHeptagon TessellationTessellationOctagonOctagon

What you really need to know!

Link to Pre-Made Lesson

Example 1:

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.

Not a polygon

Has curves

Example 2:

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.

Hexagon

Not Regular

Example 3:

Find the measure of each angle of a regular heptagon. Round to the nearest tenth of a degree.

5 x 180

900°

900 ÷ 7

128.6°

Example 4:

Ms. Pena is creating a pattern on her wall. She wants to use triangles with angles 120°, 30°, and 30°. Can Ms. Pena create a tessellation with these triangles?

The sum of the measures of the angles where the vertices meet in a tessellation is 360°. Since 360° is divisible by both 30° and 120°, the polygons can be arranged in a tessellation.

Page 448

Guided Practice

#’s 4-7

Pages 446-448 with someone at home and study

examples!

Read:

Homework: Page 449-450

#’s 8-28 all

#’s 32-45 all

Lesson Check 10-7Chapter Test Preparation

Page

589

Lesson 10-7

Study Guide and Review

Pages

462-464

#’s 6-22(Odd answers in back of book)

Prepare for Test!

Pages

465

#’s 3-14, 16

Prepare for Test!

Pages

466-467

#’s 1-16