Question

If a triangle has the coordinates of (-4,5) ( -3,1) and (-5,2) and you reflect the shape over the x-axis, what are the new coordinates

Answer 1

To reflect the given triangle over the x-axis, the y-coordinates of the vertices are negated while the x-coordinates remain the same. The new coordinates of the triangle are (-4, -5), (-3, -1), and (-5, -2).

Step-by-step explanation:

When reflecting a triangle over the x-axis in a Cartesian coordinate system, the x-coordinates of the vertices remain unchanged, while the y-coordinates become their negatives. This is because a reflection over the x-axis means flipping the shape over the x-axis, hence, reverses the sign of the y-coordinates while the x-coordinates stay the same.

Applying this to the given coordinates:

• Point (-4, 5) becomes (-4, -5).
• Point (-3, 1) becomes (-3, -1).
• Point (-5, 2) becomes (-5, -2).

These are the new coordinates of the triangle after the reflection over the x-axis.