Mathematics | Senioritis

John Rhodes
July 29, 2023
Geometry

Correcting a Two-Column Proof | Prioritize Congruence Between Angles QRY and PQR in Math Content Optimization

Below is a two-column proof incorrectly proving that the three angles of ΔPQR sum to 180°:StatementsReasonsDraw line ZY parallel to Constructionm∠ ZRP + m∠ PRQ + m∠...

John Rhodes
July 29, 2023
Geometry

Using the SSS Congruence Theorem to Prove Side AD is Equal to Side BC in Quadrilateral ABCD

In a quadrilateral ABCD, the diagonals intersect at point T. Byron has used the Alternate Interior Angles Theorem to show that angle DAC is congruent to angle...

John Rhodes
July 29, 2023
Geometry

Constructing Angle Bisectors and Understanding the Angle Bisector Theorem | A Comprehensive Guide

Angle Bisector An angle bisector is a line or ray that divides an angle into two equal angles An angle bisector is a line or ray that...

John Rhodes
July 29, 2023
Geometry

Constructing a Perpendicular Bisector | Steps, Properties, and Applications in Math and Geometry

Perpendicular Bisector A perpendicular bisector is a line or a line segment that is perpendicular to a given line segment and divides it into two equal parts...

John Rhodes
July 29, 2023
Geometry

Understanding the Orthocenter | Intersection of Altitudes in a Triangle and its Properties

Orthocenter (defn) The orthocenter is a point of intersection in a triangle that lies at the intersection of the three altitudes of the triangle The orthocenter is...

John Rhodes
July 29, 2023
Geometry

Finding the Centroid of a Triangle | Formula, Calculation, and Example

Centroid (defn) The centroid of a two-dimensional shape, such as a triangle or a polygon, is the point where all the medians of the shape intersect The...

John Rhodes
July 29, 2023
Geometry

Understanding the Incenter of a Triangle | Properties, Calculation, and Applications

Incenter (defn) The incenter of a triangle is the point where all three angle bisectors intersect The incenter of a triangle is the point where all three...

John Rhodes
July 29, 2023
Geometry

How to Find the Circumcenter of a Triangle | Step-by-Step Guide and Applications

Circumcenter (defn) The circumcenter of a triangle is the point at which the perpendicular bisectors of the triangle’s sides intersect The circumcenter of a triangle is the...