Plane Figures and Their Formulas
This page presents a comprehensive overview of various figury płaskie (plane figures) along with their essential formulas for area and perimeter calculations. These formulas are crucial for the egzamin ósmoklasisty (8th-grade exam) in mathematics.
The document begins with a square (kwadrat), providing formulas for its area and perimeter. It then progresses through other shapes such as rectangles (prostokąt), parallelograms (równoległobok), trapezoids (trapez), rhombuses (romb), and different types of triangles (trójkąt).
Vocabulary: Obw. - This abbreviation stands for "obwód," which means perimeter in Polish.
Example: For a square, the area (P) is given by P = a², where 'a' is the length of its side. The perimeter (Obw.) is calculated as 4a.
Definition: Figury płaskie - This term refers to two-dimensional geometric shapes or plane figures.
Highlight: The document includes formulas for both regular and special cases of triangles, such as right-angled triangles (trójkąt prostokątny) and equilateral triangles (trójkąt równoboczny).
For rectangles, the area is calculated by multiplying length by width : P = a * b. The perimeter is given by Obw = 2a + 2b.
Parallelograms and trapezoids have their unique formulas. For a parallelogram, the area is P = a * h, where 'h' is the height. The trapezoid area formula is P = / 2, where 'a' and 'b' are the parallel sides and 'h' is the height.
Quote: "P = a * h" - This simple yet powerful formula represents the area of a parallelogram and is essential for the Wielokąty Klasa 8 sprawdzian pdf.
The document also covers rhombuses, providing formulas for both area and perimeter. For triangles, it includes general formulas as well as specific ones for right-angled and equilateral triangles.
This comprehensive guide serves as an excellent resource for students preparing for the egzamin ósmoklasisty, offering a quick reference to Wszystkie wzory matematyczne egzamin ósmoklasisty (all mathematical formulas for the 8th-grade exam) related to plane figures.