1. at the Beginning of the Movie, Arthur Square and His Granddaughter, Hex, Talk About

Name: ______Date: ______

1. At the beginning of the movie, Arthur Square and his granddaughter, Hex, talk about reproducing shapes. They explain that two isosceles triangles have baby equilateral triangles. Two equilateral triangles have baby squares. Two squares have baby pentagons, and so on.

a. What shape were Hex’s parents?

b. What shape are the parents of a baby octagon?

c. Two decagons would have what shape for a baby?

2. When Arthur and Hex talk about points, they say that points have zero dimension. Later, in a dream, Arthur meets a point. The point is singing “me, me, me, me, me”. When Arthur talks to the point and says there are two of us, the point tells him “foolish creature, there is no 2 of me”.

a. Why do you think the point is singing “me, me, me, me, me”?

3. When Arthur “wakes up” he encounters a new being called “Spherious”.

a. Arthur knows of length and width, but Spherious comes to teach him about what?

b. When Arthur passed through Line Land, the line saw Arthur as a segment. When Spherious passes through Flat Land, what does he appear as?

4. Who is your favorite character in the movie? Why? 5. Based on your observations of the figures above, come up with definitions for an irregular polygon and a regular polygon.

An Irregular Polygon is: A Regular Polygon is: Getting to know the Regular Polygons:

Each regular polygon has a name based on the number of sides used to construct it. The sum of the interior angles of a polygon is related to the number of sides it has. Let’s discover how!

6. The sum of the interior angles of a triangle is ______.

Each polygon is created by a certain number of triangles. There are two triangles in a quadrilateral.

7. Complete the chart below to determine number of triangles and sum of angles in each polygon. Name of Polygon # of Sides # of Triangles Sum of Angles