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The session focused on the fundamental theory and properties of quadrilaterals, particularly parallelograms and rectangles. The Student and Tutor worked through various examples to identify parallel and congruent sides, calculate unknown angles, and apply theorems related to diagonals to prove quadrilateral properties. The next session is planned to cover the Pythagorean theorem.

The Tutor and Student focused on geometric proofs, specifically covering triangle congruence. They reviewed key geometric properties like reflective properties, vertical angles, parallel line angle relationships, and then thoroughly explored the SSS, SAS, ASA, AAS, and HL congruence postulates for triangles, practicing their application through various examples. Homework was assigned to practice these concepts from a textbook, with plans to cover quadrilaterals in the next session.

The Student and Tutor reviewed angle properties, including complementary, supplementary, straight, vertical, and linear pairs, solving related algebraic problems. They then explored reflections and introduced geometric transformations, covering translation and rotation. The Student practiced applying coordinate rules for translation and rotation, with an emphasis on properties preserved during translation. Homework involved practicing these transformation concepts.

The Tutor and Student reviewed and practiced concepts related to parallel lines intersected by a transversal, including identifying different types of angles (corresponding, interior, exterior, same-side) and applying their theorems to solve for unknown angle values. They also explored reflections in coordinate geometry, determining reflections across the x-axis and y-axis. The next session will cover translation, rotation, dilation, and combinations of transformations.

The Student and Tutor engaged in a comprehensive quiz covering foundational geometry concepts, including definitions of lines, rays, segments, and various angle classifications. They practiced solving problems involving complementary, supplementary, vertical, and adjacent angles using algebraic methods. The session concluded with a review of parallel lines and transversals, and a discussion of upcoming topics like geometric theorems and transformations.

The Student and Tutor reviewed basic geometric definitions and angle types. They focused on understanding and calculating complementary, supplementary, and vertical angles through various examples and practice problems. The next session will introduce parallel and transversal lines, with a follow-up mini-quiz planned to consolidate current learning.