draw a shape rhat exhibits rotational symmetry of order 3 and one line symmetry
Why did the circle invite the triangle to its party?
Because it knew the triangle had 3 sides and was a real line-dancer!
But in all seriousness, a shape that exhibits rotational symmetry of order 3 and one line symmetry is a equilateral triangle. It can be rotated by 120 degrees three times to map onto itself, and it has a line of symmetry which bisects it vertically.
To draw a shape with both rotational symmetry of order 3 and one line of symmetry, you can create an equilateral triangle.
1. Start by drawing a straight line segment. This will serve as the base of your equilateral triangle.
2. Using a protractor or a compass, measure and mark a point on the line segment that is the same distance from both endpoints. This will be the center of your rotational symmetry.
3. Draw arcs with the same radius from the center point to intersect the line segment on both sides. These points of intersection will be the vertices of your equilateral triangle.
4. Connect the vertices of the equilateral triangle to form the shape.
By following these steps, you will create a shape that has rotational symmetry of order 3. This means that if you rotate the shape by 120 degrees (360 degrees divided by 3), it will appear the same. Additionally, the equilateral triangle also has one line of symmetry, which means that if you fold the shape along this line, both sides will be identical.