Page 51 - Math 9-10 (2009)

50 THE ONTARIO CURRICULUM, GRADES 9 AND 10: MATHEMATICS
– verify, using algebraic techniques and analytic geometry, some characteristics of geometric figures (e.g., verify that two lines are perpendicular, given the coordi- nates of two points on each line; verify, by determining side length, that a triangle is equilateral, given the coordinates of the vertices);
– plan and implement a multi-step strategy that uses analytic geometry and algebraic techniques to verify a geometric property (e.g., given the coordinates of the vertices of a triangle, verify that the line segment joining the midpoints of two sides of the triangle is parallel to the third side and half its length, and check using dynamic geometry software; given the coordinates of the vertices of a rectangle, verify that the diagonals of the rectangle bisect each other).