John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 7, 2023
Calculus

Understanding the Derivative: The Fundamental Concept in Calculus

Definition of a derivative The derivative of a function represents the rate at which the function is changing at any given point The derivative of a function...

John Rhodes
July 7, 2023
Geometry

Understanding the Circumcenter of a Triangle: Perpendicular Bisectors and Equidistance

The perpendicular bisectors of a triangle intersect at a point that is equidistant from the sides ofthe triangle The statement is a well-known property of triangles called...

John Rhodes
July 7, 2023
Geometry

The Intersection of Angle Bisectors: Proving Equal Distances from Point O to Triangle Sides

The angle bisectors of a triangle intersect at a point that is equidistant from the sides of thetriangle Let’s prove that the angle bisectors of a triangle...

John Rhodes
July 7, 2023
Geometry

Proving Congruence of Isosceles Triangles: Understanding the Conditions and Method

If the congruent sides in one isosceles triangle have the same measure as the congruent sides inanother isosceles triangle, then the triangles are congruent To prove that...

John Rhodes
July 7, 2023
Geometry

Proving the Statement Two Triangles with Three Pairs of Congruent Angles are Congruent using the Angle-Angle-Angle (AAA) Congruence Criterion

Two triangles with three pairs of congruent angles are congruent To prove the statement “Two triangles with three pairs of congruent angles are congruent,” we will use...

John Rhodes
July 7, 2023
Geometry

Can a Triangle Have Two Obtuse Angles? Exploring the Limitations of Triangle Angles

A triangle can have two obtuse angles No, a triangle cannot have two obtuse angles No, a triangle cannot have two obtuse angles. By definition, an obtuse...

John Rhodes
July 7, 2023
Geometry

Proving That If One Angle is Acute, All Other Angles of Intersecting Lines are Acute

if one of the angles formed by two intersecting lines is acute, then the other three anglesformed are also acute To prove that if one of the...

John Rhodes
July 7, 2023
Geometry

Proving AB = BC = DE using the properties of collinear points and segment addition

If A, B, C, D, and E are collinear with B between A and C, C between B and D, and D between Cand E, and AC...