Grade 10 Academic (MPM2D) · Analytic Geometry

Circle Equations and Verifying Shape Properties Using Analytic Geometry

30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.

Start the 30 questions Curriculum: MPM2D-AG.6

Sample: the first question, solved

Write the equation of a circle with centre (0,0) and radius 3.

📘 Worked solution
For a circle centred at the origin, the equation is x²+y²=r². With r=3, r²=9.

And one from the hard end

"A quadrilateral has vertices A(0,0), B(4,0), C(4,3), D(0,3). Verify it's a rectangle using distance and slope, then find its area."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

Your Winny Score tracks you as the questions ramp up. Stuck on one? A real Winny Math tutor will walk you through it. First lesson free.

Start practicing