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Geometry: Expressing Geometric Properties with Equations

481 questions26 skills


120 questions7 skills
Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.


21 questions1 skill
Derive the equation of a parabola given a focus and directrix.


30 questions2 skills
Use coordinates to prove simple geometric theorems algebraically.


56 questions3 skills
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.


46 questions2 skills
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.


36 questions2 skills
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles.