Ukraine 8th Grade Curriculum - Mathematics: Geometry

This information is based on the curriculum approved by the Ministry of Education and Science of Ukraine.

Geometry

Quadrilaterals

• Quadrilateral, its elements, and the sum of its angles.
• Convex and non-convex quadrilaterals.
• Parallelograms, their properties, and special cases (rectangles, rhombuses, squares).
• Trapezoids.
• Inscribed and central angles.
• Inscribed and circumscribed quadrilaterals.
• Intercept theorem.
• Midline of a triangle and its properties.
• Midline of a trapezoid and its properties.

Similarity of Triangles

• Concept of similarity and its relationship to congruence.
• Similar triangles.
• Criteria for triangle similarity.
• Generalized Intercept theorem.
• Properties of medians and angle bisectors of a triangle.

Solving Right Triangles

• Sine, cosine, and tangent of acute angles in right triangles.
• Pythagorean theorem.
• Properties of perpendicular and oblique lines.
• Relationships between sides and angles in right triangles.
• Solving right triangles using trigonometric ratios.
• Sine, cosine, and tangent of 30°, 45°, and 60° angles.

Polygons and Areas

• Polygons and their elements.
• Area of a polygon.
• Polygons inscribed in and circumscribed around a circle.
• Formulas for areas of rectangles, parallelograms, triangles, and trapezoids.