Question

1. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. line point rotational none line point rotational none line point rotational none line point rotational none line point rotational none line point rotational none line point rotational none line point rotational none line point rotational none line point rotational none © gina wilson (all things algebra, llc), 2014 - 2015

Explanation:

Step1: Recall symmetry definitions

Line - symmetry means a shape can be divided into two identical halves by a line. Point - symmetry means a shape looks the same after a 180 - degree rotation about a point. Rotational symmetry means a shape looks the same after a rotation of less than 360 degrees.

Step2: Analyze each shape

Shape 9:

It has rotational symmetry. There is no line of symmetry and no point - symmetry. So, check Rotational.

Shape 10:

It has a line of symmetry (a vertical line through the middle). There is no point - symmetry and no rotational symmetry (other than 360 - degree rotation). So, check Line.

Shape 11:

The letter 'R' has no line of symmetry, no point - symmetry, and no rotational symmetry (other than 360 - degree rotation). So, check None.

Shape 12:

It has a line of symmetry (both vertical and horizontal lines through the center). There is point - symmetry (center point) and no rotational symmetry (other than 360 - degree rotation). So, check Line, Point.

Shape 13:

It has 3 lines of symmetry and rotational symmetry (rotations of 120 and 240 degrees). There is no point - symmetry. So, check Line, Rotational.

Shape 14:

The letter 'Z' has no line of symmetry, no point - symmetry, and rotational symmetry (180 - degree rotation). So, check Rotational.

Shape 15:

It has 4 lines of symmetry, point - symmetry (center point), and rotational symmetry (rotations of 90, 180, 270 degrees). So, check Line, Point, Rotational.

Shape 16:

The playing - card shape has a line of symmetry (vertical line through the middle). There is no point - symmetry and no rotational symmetry (other than 360 - degree rotation). So, check Line.

Shape 17:

It has no line of symmetry, no point - symmetry, and no rotational symmetry (other than 360 - degree rotation). So, check None.

Shape 18:

It has a line of symmetry (a vertical line through the middle). There is no point - symmetry and no rotational symmetry (other than 360 - degree rotation). So, check Line.

Shape 19:

It has no line of symmetry, no point - symmetry, and rotational symmetry (120 - degree rotations). So, check Rotational.

Shape 20:

It has 6 lines of symmetry, point - symmetry (center point), and rotational symmetry (rotations of 60, 120, 180, 240, 300 degrees). So, check Line, Point, Rotational.

Answer:

1. Rotational
2. Line
3. None
4. Line, Point
5. Line, Rotational
6. Rotational
7. Line, Point, Rotational
8. Line
9. None
10. Line
11. Rotational
12. Line, Point, Rotational