Certified Math Tutor | 3+ years of experience in teaching middle and high school students

Nik guided a learner, a resident of Rancho, through a review of geometry concepts. This included angle identification, midpoint and distance formulas, and properties of complementary and supplementary angles, all in preparation for the learner's upcoming test. The learner also gained practice applying the RHS congruence theorem. For homework, Nik assigned similar questions focusing on angles and their relationships, some of which were designed to be particularly challenging.

Nik Mathtutor and Shazana delved into the RHS theorem for proving triangle congruence, followed by a discussion on the properties of various quadrilaterals. Shazana actively practiced applying the RHS theorem and identifying these quadrilateral properties in problem-solving scenarios. As a follow-up to their geometry lesson, her assignment is to compile the properties, area formulas, and perimeter formulas for squares, rectangles, parallelograms, rhombuses, kites, and trapezoids.

Nik and Shazana continued their focused geometry lessons, building on their previous work. They thoroughly reviewed triangle congruence theorems, including SSS, SAS, ASA, and the specialized RHS for right triangles, which they had also touched upon alongside AAS in an earlier lesson. Expanding their knowledge of quadrilaterals, they moved beyond squares and rectangles to explore the distinct properties of parallelograms, rhombuses, and kites. For homework, Shazana was tasked with memorizing these new quadrilateral properties and practicing problems related to RHS congruence. Additionally, they discussed an assignment concerning planes and lines.

During their recent lesson, Nik and Shazana delved into geometry, specifically reviewing triangle congruency theorems such as SSS, SAS, ASA, AAS, and the special case of RHS for right triangles. Following this, they transitioned to exploring quadrilateral properties, with a particular focus on squares and rectangles. Shazana engaged in applying these theorems and discerning the truthfulness of statements concerning quadrilaterals. Nik concluded the lesson by assigning homework that included practice questions on both triangle congruency and quadrilateral properties.

The instructor and the learner reviewed the Pythagorean theorem, solving for hypotenuse and missing leg lengths. The student, who attends the University of Arizona in Tucson, then moved on to triangle congruence theorems (SSS, SAS, ASA, AAS). They practiced identifying which theorem applies in different scenarios and worked through word problems. The instructor assigned homework for additional practice on finding hypotenuse and missing leg lengths.