9. How many lines of symmetry does this shape have?
Answer: C
This shape has 2 lines of symmetry.
The shape in question possesses exactly two lines of symmetry, which allows it to be divided into two identical halves along those lines.
A) 4
Option A is incorrect because the shape does not have four lines of symmetry. A figure with four lines of symmetry would typically be a square or a specific type of rectangle, which does not apply to the shape being analyzed.
B) 8
Option B is also incorrect, as a shape with eight lines of symmetry would be highly regular, such as an octagon. The current shape does not meet the criteria for having that many lines of symmetry.
C) 2
Option C is correct because the shape can be divided into two identical sections along two specific lines, confirming that it has two lines of symmetry. This characteristic is typical for certain types of symmetrical shapes, such as a rectangle or an isosceles triangle.
D) 1
Option D is incorrect since a single line of symmetry would imply that the shape can only be mirrored along one axis. However, the shape described here has two distinct lines of symmetry, not just one.
Conclusion
The correct answer is definitively C, as the shape has two lines of symmetry, allowing for a clear division into identical halves. Options A, B, and D fail because they misrepresent the number of symmetries present in the shape, highlighting the importance of accurately identifying symmetry in geometric figures.