Przystawanie Trójkątów (Triangle Congruence)

This page introduces the concept of trójkąty przystające (congruent triangles) and outlines the 3 cechy przystawania trójkątów (three congruence criteria). The information is particularly relevant for students studying trójkaty przystajace - zadania klasa 7.

Definition: Congruent figures are identical in shape and size. Triangles are considered congruent when their corresponding sides and angles are equal.

The page presents three main criteria for determining triangle congruence:

1. Bok-Bok-Bok (BBB) or Side-Side-Side (SSS): This criterion states that if all three sides of one triangle are equal in length to the corresponding sides of another triangle, the triangles are congruent.

   Example: If Triangle ABC has sides of length 3, 4, and 5 units, and Triangle DEF also has sides of 3, 4, and 5 units (in the same order), then these triangles are congruent.

2. Bok-Kąt-Bok (BKB) or Side-Angle-Side (SAS): This criterion states that if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle, the triangles are congruent.

   Example: If Triangle ABC has two sides of length 3 and 4 units with an included angle of 60°, and Triangle DEF has the same measurements, then these triangles are congruent.

3. Kąt-Bok-Kąt (KBK) or Angle-Side-Angle (ASA): This criterion states that if two angles and the included side of one triangle are equal to the corresponding parts of another triangle, the triangles are congruent.

   Example: If Triangle ABC has two angles of 30° and 60° with an included side of 5 units, and Triangle DEF has the same measurements, then these triangles are congruent.

Vocabulary:

• Bok: Side
• Kąt: Angle
• Przystawanie: Congruence

These cechy przystawania trójkącie are essential for solving problems related to trójkąty przystające zadania z rozwiązaniami. Understanding these criteria helps in distinguishing between trójkąty przystające a podobne (congruent and similar triangles).

Highlight: Mastering these concepts is crucial for success in figury przystające sprawdzian klasa 8 PDF and other geometry assessments.