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  • John Rhodes
  • July 30, 2023
  • Geometry

Understanding the Exterior Angle Theorem | Explaining the Relationship between Exterior and Remote Interior Angles of a Triangle

A measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles. In a triangle, an exterior...
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  • John Rhodes
  • July 30, 2023
  • Geometry

Understanding the Segment Addition Postulate | Exploring Lengths and Distances in Mathematics

If B is between A and C, then AB+BC=AC. In mathematics, this statement is known as the Segment Addition Postulate In mathematics, this statement is known as...
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  • John Rhodes
  • July 30, 2023
  • Geometry

Proving Equidistance from Endpoints | The Perpendicular Bisector of a Segment

If a point is on the perpendicular bisector of a segment, it is equidistant from the endpoints of the segment. When we talk about the perpendicular bisector...
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  • John Rhodes
  • July 30, 2023
  • Geometry

Exploring the Pythagorean Theorem | Understanding the Relationship Between Triangle Sides

In a right triangle, the sum of the squares of the lengths of the legs, is equal to the square of the length of the hypotenuse. This...
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  • John Rhodes
  • July 30, 2023
  • Geometry

Understanding Perpendicular Lines | The Relationship Between Slopes and Right Angles

In a coordinate plane, two nonvertical lines are perpendicular lines if and only if the product of their slopes is -1. In a coordinate plane, lines can...
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  • John Rhodes
  • July 30, 2023
  • Geometry

The Triangle Sum Theorem | Exploring the Relationship between Interior Angles and Degrees in Triangles

Triangle Sum Theorem The Triangle Sum Theorem, also known as the Angle Sum Theorem for triangles, states that the sum of the interior angles of a triangle...
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  • John Rhodes
  • July 30, 2023
  • Geometry

Enhancing Mathematical Problem Solving with Auxiliary Lines | A Guide to Visualizing, Simplifying, and Proving Theorems.

auxiliary line In mathematics, an auxiliary line refers to a line that is drawn in a geometric figure to help solve a problem or prove a theorem...
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  • John Rhodes
  • July 30, 2023
  • Geometry

The Importance of Interior Angles in Geometry | Exploring Definitions, Sum Formulas, and Calculations

interior angle In geometry, an interior angle is an angle formed between two sides of a polygon on the inside of the shape In geometry, an interior...
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