Analytic geometry
9 videos
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18
Geometry - What Is Analytic Geometry?
Learn how analytic geometry combines algebra and geometry using coordinate planes to calculate distances, midpoints, and slopes between points with formulas instead of rulers.
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Geometry - Distance Formula: Worked Example
Learn how to calculate distance between two points using the distance formula derived from the Pythagorean theorem, with a step-by-step example finding the distance between points A and B.
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Geometry - The Midpoint Formula
Learn the midpoint formula by averaging x and y coordinates to find the exact center point between two locations. Includes a step-by-step example with points A and B.
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Geometry - Dividing a Line Segment in a Ratio
Learn how to find a point that divides a line segment in a given ratio using coordinates. Step-by-step example shows how to calculate the position two-fifths along segment AB.
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Geometry - Is a Point Inside, On, or Outside a Circle?
Learn how to determine if a point is inside, outside, or on a circle by comparing the distance from the point to the center with the radius using the distance formula.
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23
Geometry - Area and Perimeter on the Coordinate Plane
Learn to calculate triangle perimeter and area using coordinate geometry, the distance formula, and properties of right triangles on a coordinate grid.
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Geometry - Parallel and Perpendicular Lines: The Slope Rules
Learn the two key rules for parallel and perpendicular lines: parallel lines have the same slope, while perpendicular lines have slopes that multiply to negative 1.
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Geometry - Identifying Parallel & Perpendicular Lines from Equations
Learn how to determine if lines are parallel, perpendicular, or neither by finding and comparing their slopes from different equation forms.
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Geometry - Writing Equations of Parallel & Perpendicular Lines
Learn how to write equations for parallel and perpendicular lines using slopes. Covers same slope for parallel lines and negative reciprocals for perpendicular lines.