– Sum of angles, exterior angles, and triangle inequality.
The workbook covers the foundational concepts of Euclidean geometry taught in the 7th grade:
– Equality of triangles, medians, bisectors, and altitudes.
Geometry in 7th grade is heavy on definitions. You cannot solve the "signs of parallel lines" test without knowing the specific theorems by heart.
Basic theory questions (e.g., "Which statement about vertical angles is true?").
– Properties of right triangles and basic compass-and-straightedge constructions. 📝 Common Question Types
Calculation tasks (e.g., "Find the third angle of a triangle if two are 40∘40 raised to the composed with power 70∘70 raised to the composed with power
Melnikova's problems often don't provide a picture. Practice drawing a clear diagram first; it often reveals the answer immediately.