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  • John Rhodes
  • July 25, 2023
  • Geometry

Understanding Conditional Statements in Mathematics: Exploring the if-then Relationship

conditional statement A logical statement that has two parts, a hypothesis and a conclusion; written in the form “if p, then q” A conditional statement is a...
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  • John Rhodes
  • July 25, 2023
  • Geometry

Finding Mathematical Closure: Understanding the Importance of Conclusions in Mathematics

conclusion The “then” part of a conditional statement written in if-then form The term “conclusion” refers to the final part or resolution of an argument, discussion, or...
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  • John Rhodes
  • July 25, 2023
  • Geometry

Understanding Biconditional Statements: Explained with Examples and Truth Table

biconditional statement A statement that contains the phrase “if and only if”; written in the form “p if and only if q” A biconditional statement, also known...
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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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