Question

Identify the reflection rule on a coordinate plane that verifies that triangle A(-1,7), B(6,5), C(-2,2) and A'(-1,-7), B'(6,-5), C'(-2,-2) triangle are congruent when reflected over the x-axis?

A) (x, y) → (-x, -y)
B) (x, y) → (x, -y)
C) (x, y) → (-x, y)
D) the triangles are not congruent

Answer 1

It follows the rule `color(green)((B) -> (x, -y))`

Explanation:

Since the triangle is reflected on x axis, onlyy coordinates will get changed from the current sign to the opposite (i.e.. `+ to -, or - to +)`. But the `x` coordinates will remain the same.