Ty has 3 different shapes. The shapes have 11 sides and 11 vertices in all. What shapes can he have? Explain.

A vertex is a corner

notice, #vertices=#sides

we cannot use a circle since it is 1 side but 0 vertices

square, trapezoid, triangle, pentagon, hexagon, octogon

square+triangle is 4+3=7

next is trapezoid which is 4 sides

the shapes can be

trapezoid, square, triangle or

trapezoid, rhombus, triangle or

trapezoid, rectangle, triangle or

rectangle, rhombus, triangle (there are more)