https://file.aiquickdraw.com/mathbot/file/17344988898938rqvxav2.jpg

To determine which triangles are congruent (равны между собой), we will analyze each triangle's dimensions, angles, and side lengths based on the grid:

1. **Compare Triangle Shapes**: Since all triangles are drawn on a grid, we can visually compare their structure, orientation, and relative side lengths.

2. **Observation**:  
   - Triangles **1**, **2**, and **6** appear to be identical in shape and size (congruent).  
   - Triangles **3**, **4**, and **5** are congruent to each other but differ from Triangles **1**, **2**, and **6**.  

### Final Answer:
- **Congruent Triangles**:
   - Group 1: Triangles **1, 2, 6**  
   - Group 2: Triangles **3, 4, 5**

Would you like me to confirm this conclusion using grid-based coordinates for more accuracy?

---

### 5 Related Questions:
1. How can you mathematically prove triangles are congruent using coordinates?  
2. What methods can be used to determine congruency in triangles (SAS, ASA, SSS)?  
3. What is the significance of congruent triangles in geometry?  
4. Can congruent triangles have different orientations?  
5. How do transformations (like rotation, reflection) preserve congruency?  

### Tip:
When checking triangle congruency on a grid, always measure corresponding sides and angles carefully or use coordinates for precision.

Выбери все треугольники, которые равны между собой.

Узнайте, как определить равные треугольники на координатной сетке, используя признаки равенства треугольников (SSS, SAS, ASA). Задача включает визуальное сравнение треугольников и геометрические теоремы для школьников 5-7 классов.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation