Question

Triangle ABC has vertices A(-2,0), B(2,5), C(3, 1). The reflection of the image of triangle ABC is triangle A'B'C' with vertices A(-2,0), B12, -5), C73.
-1). What is a rule that describes the reflection?

Answer 1

Answer: Reflection about x-axis

Step-by-step explanation:

Given

Initially, vertices are $A(-2,0), B(2,5),C(3,1)$

After reflection they become $A(-2,0),B(2,-5),C(3,-1)$

It is clear that the x coordinate remains unchanged and the y coordinate changes its sign. It occurs when reflection is done about the x-axis.

For example, when (a,b) is reflected about the x-axis, it becomes (a,-b).

So, here reflection is being done about the x-axis.