Question

A rectangle has vertices (-1, 1), (-4, 1), (-1, 3), and (-4, 3). If the

rectangle is reflected over the x-axis, what algebraic rule can be used
to find each of the new vertices?​

Answer 1

To find the new vertices of a rectangle reflected over the x-axis, change the sign of each y-coordinate while keeping the x-coordinate the same.

Step-by-step explanation:

To find the new vertices of a rectangle that is reflected over the x-axis, we need to change the sign of each y-coordinate while keeping the x-coordinate the same. The algebraic rule can be written as (x, y) → (x, -y).

Using this rule, we can find the new vertices of the given rectangle:

• Vertex 1: (-1, 1) → (-1, -1)
• Vertex 2: (-4, 1) → (-4, -1)
• Vertex 3: (-1, 3) → (-1, -3)
• Vertex 4: (-4, 3) → (-4, -3)