 ### chapter 2 Analytic geometry Ontario Curriculum

Overall Expectations:

- solve problems using analytic geometry involving properties of lines and line segments

- verify geometric properties of triangles and quadrilaterals, using analytic geometry.

Specific Expectations:

- develop the formula for the midpoint of a line segment, and use this formula to solve problems

- develop the formula for the length of a line segment, and use this formula to solve problems

- develop the equation for a circle with centre (0, 0) and radius r, by applying the formula for the length of a line segment

- determine the radius of a circle with centre (0, 0), given its equation; write the equation of a circle with centre (0, 0), given the radius; and sketch the circle, given the equation in the form                     x2 + y2 = r 2

- solve problems involving the slope, length, and midpoint of a line segment

- plan and implement a multi-step strategy that uses analytic geometry and algebraic techniques to verify a geometric property