Triangle ABC has been reflected over the x-axis to create triangle A'B'C'. Which of the following statements is true? B'C' = 2
AB = 2
BC = 2
AC =2

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

Step-by-step explanation:

answer: -8.2562234e+13