John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 6, 2023
Geometry

Exploring the Angle Bisector Theorem: The Incenter, Proportions, and Equidistance

The angle bisectors of a triangle intersect at a point that is equidistant from the sides of thetriangle This statement is known as the Angle Bisector Theorem...

John Rhodes
July 6, 2023
Geometry

Proving Congruence of Isosceles Triangles: Using the Side-Side-Side (SSS) Criterion

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 6, 2023
Geometry

The Proof of Angle-Angle-Angle (AAA) Congruence in Triangles: Explained in Detail with Examples and Step-by-Step Guide

Two triangles with three pairs of congruent angles are congruent To understand why two triangles with three pairs of congruent angles are congruent, we need to explore...

John Rhodes
July 6, 2023
Geometry

Debunking the Myth: Can a Triangle Have Two Obtuse Angles?

A triangle can have two obtuse angles This statement is not true This statement is not true. An obtuse angle is an angle that measures greater than...

John Rhodes
July 6, 2023
Geometry

The Truth about Acute Angles in Intersecting Lines: Understanding the Relationship Between Angle Measures

if one of the angles formed by two intersecting lines is acute, then the other three anglesformed are also acute To understand why this statement is true,...

John Rhodes
July 6, 2023
Geometry

Proving AB = BC = DE using the properties of collinearity and the given information about AC and BD-CE

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...

John Rhodes
July 6, 2023
Geometry

Proving the Statement: Equidistant Points from a Third Point are Collinear

If two points are equidistant from a third point, then the three points are collinear To prove the statement that if two points are equidistant from a...

John Rhodes
July 6, 2023
Geometry

Understanding the One Third Way Point Formula in Coordinate Geometry: Step-by-Step Explanation and Example

The point one third of the way from (x1,y1) to (x2, y2) can be found with the formula (x1+x2/3, y1+y2/3) To understand how this formula works, let’s...