IM2.6.4 Big Diagram
Find the missing segment lengths (the circled numbers) and angle measures (non-circled numbers). Write your answers in the corresponding row of the spreadsheet below.
Identify at least three different quadrilaterals in the diagram. Find the sum of the interior angles for each quadrilateral. Make a conjecture about the sum of the interior angles of a quadrilateral.
Identify at least three different pentagons in the diagram. Find the sum of the interior angles for each pentagon. Make a conjecture about the sum of the interior angles of a pentagon.
Do you see a pattern in the sum of the angles of a polygon as the number of sides increases? How can you describe this pattern symbolically?