4 Questions
What is the midpoint of line segment AB?
The midpoint of line segment AB is $((1+2)/2, (3+1)/2) = (1.5, 2)$.
What is the equation of the line passing through points A(1, 3) and B(2, 1)?
The equation of the line passing through points A(1, 3) and B(2, 1) is $y = -2x + 5$.
What is the equation of the locus of point P such that PA=PB?
The equation of the locus of point P such that PA=PB is the perpendicular bisector of line segment AB, which is $x - 3y + 5 = 0$.
Match the following geometric shapes with their properties:
Circle = Set of all points equidistant from a center point Parabola = Set of all points equidistant from a fixed point (focus) and a fixed line (directrix) Ellipse = Set of all points such that the sum of the distances to two fixed points (foci) is constant Hyperbola = Set of all points such that the absolute value of the difference of the distances to two fixed points (foci) is constant
Test your skills in coordinate geometry with this quiz. Explore finding the equation of a line passing through two points, calculating the midpoint of a line segment, and determining the equation of the locus of a point equidistant from two given points.
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