IM 6.1.11 Lesson: Polygons
Which one doesn't belong?
Here are five polygons:
Here are six figures that are not polygons:
Here are six figures that are not polygons:
Circle the figures that are polygons.
What do the figures you circled have in common? What characteristics helped you decide whether a figure was a polygon?
Find the area of two quadrilaterals of your choice. Show your reasoning.
Here is a trapezoid. a and b represent the lengths of its bottom and top sides. The segment labeled h represents its height; it is perpendicular to both the top and bottom sides.
Apply area-reasoning strategies—decomposing, rearranging, duplicating, etc.—on the trapezoid so that you have one or more shapes with areas that you already know how to find. Use the shapes to help you write a formula for the area of a trapezoid. What formula, for the area of a trapezoid, were you able to write above? Show your reasoning.