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

Answer:

Option B is correct.

The reflection rule is followed here is,  $(x,y) \rightarrow (x, -y)$.

Explanation:

Since, the triangle is reflected over the x-axis , then only y- coordinates will get changed but the x coordinates will remain the same.

$A(-1,7) \rightarrow A'(-1,-7)$

$B(6,5) \rightarrow B'(6,-5)$

$C(-2,2) \rightarrow C'(-2,-2)$

Therefore, the only reflection rule on the coordinate plane that verifies the triangle are congruent when reflected over x-axis is, $(x,y) \rightarrow (x, -y)$