Quadrilaterals and their diagonals

We looked yesterday at how to classify quadrilaterals using their side lengths and slopes.  Today we are looking at properties of their diagonals.  We drew squares, rectangles, parallelograms, rhombuses (“losanges”), trapezoids both isosceles and not, and kites.  We compared their 2 diagonals to see which ones have diagonals that are perpendicular, congruent, and have the same midpoints.

If we can make sense of this, we can cut our work in half!  2 diagonals are quicker to analyse than 4 sides.

It’s good to review all of these skills because we will need to do these on the summative.

Our summary:

Congruent diagonals: square, rectangle, isosceles trapezoid

Perpendicular diagonals: square, rhombus (losange), and kite

Diagonals with the same midpoint: square, rectangle, parallelogram, rhombus (losange).