Question

1. a reflection over which line will not carry the square onto itself? * x - axis y - axis x=-1 y = x

Explanation:

Step1: Recall reflection property of square

A square has multiple lines of symmetry. Lines of symmetry carry a shape onto itself.

Step2: Analyze x - axis

Reflection over the x - axis for a square centered at the origin will map the square onto itself as it is symmetric about the x - axis.

Step3: Analyze y - axis

Reflection over the y - axis for a square centered at the origin will map the square onto itself as it is symmetric about the y - axis.

Step4: Analyze y = x

Reflection over the line y = x for a square centered at the origin will map the square onto itself as it is one of the diagonal lines of symmetry for the square.

Step5: Analyze x=-1

The line x = - 1 is not a line of symmetry for the square centered at the origin shown in the graph. Reflection over x = - 1 will not carry the square onto itself.

Answer:

x = - 1