Symmetric Point

Symmetric Point


If A' is the symmetric of A with respect to M, then M is the midpoint of the line segment AA'.

Symmetric Point

Calculate the symmetric point of A = (7, 4) with the midpoint M = (3, −11).

Examples

Symmetric Point

Symmetric Point

Symmetric Point Calculations

Symmetric Point Solution

Calculate the symmetric point of A = (4, −2) for midpoint M = (2, 6).

Symmetric Point

Symmetric Point Calculations

Symmetric Point Solution


Find the symmetric point A' for the point A = (3, 2), with the line of symmetry: r ≡ 2x + y − 12 = 0.

Symmetric Point

Line Exercise

Line Calculations

Line Operations

Line Calculations

Line Operations

Line Solution


The line r ≡ x + 2y − 9 = 0 is the perpendicular bisector of the line segment AB whose endpoint A has the coordinates (2, 1). Find the coordinates of the other endpoint.

Perpendicular Bisector

Perpendicular Lines

Line Operations

Line Calculations

Line Operations

Line Calculations

Line Solution





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