Use coordinate geometry to solve mathematical and real-world geometric problems involving lines, circles, triangles and quadrilaterals.
: The line x
=10 is tangent to a circle whose center is located at (2,-1). Find the tangent point and a second tangent point of a line with the same slope as the given line.
Example: Given M(-4,7) and N(12,-1),find the coordinates of point P on so that P partitions in the ratio 2:3.
: Problems involving lines include the coordinates of a point on a line segment including the midpoint.
Clarification 2: Problems involving circles include determining points on a given circle and finding tangent lines.
Clarification 3: Problems involving triangles include median and centroid.
Clarification 4: Problems involving quadrilaterals include using parallel and perpendicular slope criteria.
Subject Area: Mathematics (B.E.S.T.)
Strand: Geometric Reasoning
Date Adopted or Revised: 08/20
Status: State Board Approved