Constructing specific quads with scale and compass

drawing an arc center radius 2

drawing an arc spiky end of compass pencil end of compass You have to draw with the compass spread this much apart

quadrilateral 1 4th side 3rd side diagonal 1st side 2nd side

quadrilateral 1 What lengths of sides make it impossible to draw a quad? Why?

quadrilateral 2 1st side 1st diagonal 4th side 2nd side 2nd diagonal 3rd side

quadrilateral 2 What lengths of sides and diagonals make it impossible to draw a quad? Why?

quadrilateral 3 3rd side 4th side 2nd side angle = given angle 1st side

quadrilateral 3 What length of 3rd and 4th sides make it impossible to draw a quad? Why?

quadrilateral 4 3rd side 1st angle 2nd angle 2nd side 4th side 1st side

quadrilateral 4 Why? What type of quad is this? Will you always get this type? Which pair of angles make it impossible to draw a quad? Why?

quadrilateral 5 3rd angle 2nd side 1st angle 1st side 2nd angle

quadrilateral 5 Which three angles make it impossible to draw a quad? Why?

parallelogram side opposite 1st side 2nd side side opposite 2nd side angle = given angle 1st side

What angle makes it impossible to draw a parallelogram? Why?

rectangle side opposite 1st side 2nd side side opposite 2nd side right angle 1st side

rhombus 1 side opposite 1st side 2nd side side opposite 2nd side angle = given angle 1st side

What angle makes it impossible to draw a rhombus? Why?

rhombus 2 1st diagonal 4th side 3rd side 1st side 2nd side 2nd diagonal

square side opposite 1st side 2nd side side opposite 2nd side right angle 1st side