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- Common Core MathK - 8High School

469 questions25 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.

172 questions9 skills

Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.

Equation of a hyperbola from features

Foci of an ellipse from equation

Ellipse standard equation & graph

Equation of an ellipse from features

Center & radii of ellipses from equation

Graph & features of ellipses

Vertices & direction of a hyperbola

Foci of a hyperbola from equation

Foci of an ellipse from radii

18 questions1 skill

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.