Understanding the Right Angle Theorem in Euclidean Geometry

If line AB and line BC intersect to form right angles, then ∠ABC is a right angle

Definition of Perpendicular

Yes, this statement is true and it is a basic principle of Euclidean geometry known as the Right Angle Theorem.

In a plane or two-dimensional space, if two lines intersect to form a right angle (90 degrees), then the angles opposite to each other are also 90 degrees each. In other words, if line AB is perpendicular to line BC, then the angle ∠ABC is equal to 90 degrees or a right angle.

This theorem is also commonly used in proving other geometric theorems and propositions in Euclidean geometry.

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Proving AB = BD with Equation Simplification Method in Mathematics
Proven: If B is between A and D, AB + BD = AD.
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