Geometry | Senioritis

John Rhodes
July 29, 2023
Geometry

Analyzing Quadrilaterals | Comparing Sides, Angles, and Areas

The vertices of a quadrilateral ABCD are A(1, −3), B(4, −3), C(4, −5), and D(−1, −5). The vertices of another quadrilateral EFCD are E(1, −7), F(4, −7),...

John Rhodes
July 29, 2023
Geometry

Proving Triangle Similarity | The Role of the Definition of Congruence

Which of the following is a justification used while proving the similarity of triangles ΔLOM and ΔMON? Definition of CongruenceDefinition of Supplementary AnglesAddition Property of EqualityTransitive Property...

John Rhodes
July 29, 2023
Geometry

Applying the SSS Congruence Criteria to Determine Corresponding Sides in Triangles ΔABC and ΔDEF

Side AC = 4, side BC = 6, side DF = 4, and side EF = 6. What side corresponds to side AB and can be used...

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...