F24 Exploring Polygon Angles: Triangle through Octagon
Move the vertices (corners) of this TRIANGLE anywhere you'd like. Explore!
How many sides does a triangle have?
What is the sum of the interior angles of a triangle?
What do you notice about the exterior angles of a triangle?
Move the vertices (corners) of this QUADRILATERAL anywhere you'd like. Explore!
How many sides does a quadrilateral have?
What happened to the quadrilateral during the Slide Me exploration?
Into how many triangles was the shape divided?
What is the sum of the interior angles of a quadrilateral?
What do you notice about the exterior angles of a quadrilateral?
Pentagon
How many sides does a pentagon have?
How many triangles were created in the pentagon during the Slide Me?
What is the sum of the interior angles of a pentagon?
What do you notice about the exterior angles of a pentagon?
Hexagon
How many sides does a hexagon have?
How many triangles were created in the hexagon during the Slide Me?
What is the sum of the interior angles of a hexagon?
What do you notice about the exterior angles of a hexagon?
Heptagon
How many sides does a heptagon have?
How many triangles were created in the heptagon during the Slide Me?
What is the sum of the interior angles of a heptagon?
What do you notice about the exterior angles of a heptagon?
Octagon
How many sides does an octagon have?
How many triangles were created in the octagon during the Slide Me?
What is the sum of the interior angles of a hexagon?
What do you notice about the exterior angles of an octagon?
For any n-gon, how many sides will it have?
For any n-gon, how many triangles will it be divided up into? Write an equation using n as the number of sides.
How many degrees in any triangle?
To find the sum of the interior angles of any n-gon, what equation have we just come up with?