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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding Critical Points: How to Find and Analyze Them in Mathematics

critical point A point in which the derivative is zero or undefined In mathematics, a critical point of a function refers to a point where the derivative...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding Points of Inflection: Exploring Critical Points on Curves and Functions where Concavity Changes

point of inflection the point where the graph changes concavity A point of inflection in mathematics refers to a type of critical point on a curve or...
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  • John Rhodes
  • July 25, 2023
  • Geometry

Calculating the Centroid: A Fundamental Concept in Geometry for Balance and Stability

centriod medians and congruent sides The centroid of a geometric shape, such as a triangle or a polygon, is the point that corresponds to the average position...
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  • John Rhodes
  • July 25, 2023
  • Geometry

Exploring the Orthocenter: Properties and Applications in Triangle Geometry

orthocenter alitutes and has right triangles The orthocenter is a point of concurrency in triangles. It is the point where the altitudes of a triangle intersect. An...
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  • John Rhodes
  • July 25, 2023
  • Geometry

Understanding the Incenter of a Triangle: Properties, Construction, and Applications

incenter angle biscetors and congruent angles The incenter is a point of intersection in a triangle, where the angle bisectors of the three angles of the triangle...
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  • John Rhodes
  • July 25, 2023
  • Geometry

How to Find the Circumcenter of a Triangle: Step-by-Step Guide and Properties

circumcenter perp bisectors and right triangles and congruent sides The circumcenter is the center of a circle that passes through all the vertices of a triangle. It...
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  • John Rhodes
  • July 25, 2023
  • Geometry

The Importance and Utility of the Centroid in Geometry: Properties, Uses, and Practical Applications

what is the point of concurrency of the medians? centriod The point of concurrency of the medians in a triangle is known as the centroid. The centroid...
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  • John Rhodes
  • July 25, 2023
  • Geometry

Understanding Isometries: Translation, Rotation, and Reflection in Geometry

what transformation always results in isometery? rotation,reflection, and translation An isometry is a transformation that preserves distances between points in a geometric figure. This means that after...
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