Can you draw a triangle which has
exactly two lines of symmetry?
Sketch a rough figure in each case.

Answer

To determine if we can draw a triangle with exactly two lines of symmetry, we need to understand the properties of symmetry in triangles. Let's go through the steps to analyze this:

### Step-by-Step Solution:

1. **Understanding Lines of Symmetry**: A line of symmetry is a line that divides a shape into two identical parts. For a triangle, if a line of symmetry is drawn, both sides of the triangle must mirror each other perfectly.

2. **Types of Triangles**: Triangles can be classified into three types based on their sides:
- Equilateral Triangle: All sides and angles are equal.
- Isosceles Triangle: Two sides are equal, and the angles opposite those sides are equal.
- Scalene Triangle: All sides and angles are different.

3. **Drawing an Equilateral Triangle**: An equilateral triangle has three lines of symmetry. Therefore, it cannot be used to satisfy the condition of having exactly two lines of symmetry.

4. **Drawing an Isosceles Triangle**: An isosceles triangle has one line of symmetry (the line that bisects the angle between the two equal sides). Therefore, it also cannot be used to satisfy the condition.

5. **Considering a Scalene Triangle**: A scalene triangle has no lines of symmetry. Thus, it cannot be used either.

6. **Conclusion**: After analyzing the properties of different types of triangles, we find that it is not possible to draw a triangle that has exactly two lines of symmetry. Triangles either have no lines of symmetry, one line of symmetry, or three lines of symmetry.

### Final Answer:
It is not possible to draw a triangle that has exactly two lines of symmetry.