Quadrilateral (also: tetragon, quadrangle) - math word definition - Math Open Reference
Suggested class activities
Students might engage in the following activities relating to a square:
(In all instances they should be encouraged to explain their reasoning.)
Draw a square ABCD
Draw in the two diagonals AC and BD intersecting at E
Determine if the two diagonals are equal in length
Mark in all the equal sides and angles in the triangles AED and BEC
Establish that triangles ADE and BEC are congruent
Determine if the triangles AEB and DEC congruent
Determine if there are two pairs of congruent triangles in the square
Show that the diagonals perpendicular. Give a reason
Establish if the diagonals bisect the vertex angles of the square
Find how many axes of symmetry the square has
Determine if the square has a centre of symmetry and if it does, what is its location
Students might engage in the following activities about a rectangle:
(In all instances they should be encouraged to explain their reasoning.)
Draw a rectangle ABCD which is not a square
Draw in the two diagonals AC and BD intersecting at E and establish if the two diagonals are equal in length
Mark in all the equal sides and angles in the triangles AED and BEC
Establish that ADE and BEC are congruent
Determine if the triangles AEB and DEC congruent
Determine if there are two pairs of congruent triangles in the rectangle
Show that the diagonals are perpendicular
Determine if the diagonals bisect the vertex angles of the rectangle
Find how many axes of symmetry the rectangle has
Determine if the rectangle has a centre of symmetry and if it does, find its location
Extra activity:
Repeat these activities for the rhombus ABCD