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  • John Rhodes
  • July 30, 2023
  • Geometry

Understanding Same-Side Interior Angles | The Parallel Lines Transversal Theorem and Its Applications

If two parallel lines are cut by a transversal, then the two pairs of same-side interior angles are supplementary. When two parallel lines are intersected by a...
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  • John Rhodes
  • July 30, 2023
  • Geometry

Determining if Two Nonvertical Lines Are Parallel | Analyzing Slopes

In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope. In a coordinate plane, two nonvertical lines are said...
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  • John Rhodes
  • July 30, 2023
  • Geometry

The Importance of Congruent Right Angles in Geometry

All right angles are congruent. In mathematics, a right angle refers to an angle that measures exactly 90 degrees In mathematics, a right angle refers to an...
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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

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

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

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

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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