Unit 9 - Lesson 3 - Grade 8: Illustrative Mathematics

Can you make a tessellation of the plane with copies of the trapezoid? Explain.

Choose and trace a copy of one of the other two quadrilaterals. Next, trace images of the quadrilateral rotated 180 degrees around the midpoint of each side. What do you notice?

Can you make a tessellation of the plane with copies of the quadrilateral from the previous problem? Explain your reasoning.

Can you tessellate the plane with copies of the pentagon? Explain why or why not. Note that the two sides making angle A are congruent.

Explain why the three pentagons make a full circle at the central vertex.

Explain why the shape that the three pentagons make is a hexagon (that is, the sides that look like they are straight really are straight).