Transformations and the Definition of Congruence/Similarity: Math Unit 1, Grade 10 (Letters & Devotion)

Description

Transformations and the Definition of Congruence/Similarity is Unit 1 of Geometry: Structure, Proof, and Measurement (Grade 10), the Letters & Devotion Math course, complete in one printable PDF: 8 lessons, the unit check-up and the answer key, 67 pages.

• Coordinate rules for translation, reflection, and rotation
• Identification criteria distinguishing translation, reflection, and rotation
• The definition of congruence as existence of a rigid motion
• The coordinate dilation rule (multiply coordinates relative to center by scale factor)
• Preserved vs. non-preserved properties across rigid motions and dilations
• The definition of similarity as dilation composed with rigid motion
• Application of the rigid-motion/dilation distinction outside a coordinate-grid context
• Generalization of the preserved-property testing strategy to an unnamed, untaught transformation

Every lesson is written for a parent with no teaching background: it opens with a short script to read aloud, names the specific wrong idea a student is likely to reach for and how to correct it, and closes with a practice sheet you may copy for your household. Scripture references are King James Version throughout. Black-and-white, 8.5 x 11 in. The whole year of this course is also in this store as a single book.

AI note: The written content of this resource was drafted with AI tools, then reviewed and edited by the author.