Mathematics | Senioritis

John Rhodes
July 7, 2023
Calculus

The Rationality of Addition and Multiplication: The Invariable Rationality of the Sum and Product of Two Rational Numbers

sum or product of two rational numbers is The sum or product of two rational numbers is also a rational number The sum or product of two...

John Rhodes
July 7, 2023
Geometry

Understanding the Properties of an Equilateral Triangle: Side Length, Angle Measures, Central Angle, Altitude, Perimeter, and Area

equilateral triangle An equilateral triangle is a special type of triangle where all three sides are equal in length, and all three angles are equal, measuring 60...

John Rhodes
July 7, 2023
Geometry

Understanding the Key Properties of an Equiangular Triangle

Equiangular triangle An equiangular triangle, also known as an equilateral triangle, is a triangle that has all three angles equal in measure An equiangular triangle, also known...

John Rhodes
July 7, 2023
Geometry

The Importance of Corollaries in Mathematics: Exploring Extensions and Implications of Theorems

Corollary A corollary is a statement or proposition that follows directly from a previous statement or proposition, without requiring any additional proof or justification A corollary is...

John Rhodes
July 7, 2023
Geometry

Unlocking Mathematical Solutions: The Power of Auxiliary Lines in Problem Solving and Proof

Auxiliary Line In mathematics, an auxiliary line is an additional line that is drawn or introduced in a geometrical figure or a graph to assist in solving...

John Rhodes
July 7, 2023
Geometry

Understanding the LA Theorem: Explaining the Law of Acuteness in Geometry and its Trigonometric Proof

LA Theorem The LA theorem, also known as the Law of Acuteness, is a concept in geometry that relates to the angles of a triangle The LA...

John Rhodes
July 7, 2023
Geometry

Using the LL Theorem to Prove Triangle Congruence: A Complete Guide

LL Theorem The LL Theorem, also known as the “Angle Angle Side” Theorem, is a criterion used to prove that two triangles are congruent The LL Theorem,...

John Rhodes
July 7, 2023
Geometry

Unlocking the Power of Corollaries: Understanding how these Statements Directly Derive from Theorems

Corollary of Theorem I The Corollary of Theorem I is a statement that follows directly from Theorem I, using the same assumptions or conditions The Corollary of...