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7. reflect over the x-axis

Question

  1. reflect over the x-axis

Explanation:

Step1: Find coordinates of A and B

Point A: $(2, 0)$ (since it's on the x - axis, y - coordinate is 0). Point B: $(-1, 3)$.

Step2: Apply reflection over x - axis rule

The rule for reflecting a point $(x,y)$ over the x - axis is $(x, -y)$.

For point A: $(2,0)$ reflected over x - axis is $(2, - 0)=(2,0)$ (since $y = 0$, its reflection is itself).

For point B: $(-1,3)$ reflected over x - axis is $(-1,-3)$ (using the rule $(x,y)\to(x, -y)$).

Answer:

The reflected point of A is $(2,0)$ and the reflected point of B is $(-1, - 3)$. The reflected line segment connects $(2,0)$ and $(-1,-3)$.