What is the length of BC if the image undergoes a reflection over the y-axis

Question

A(2,5) C(2,2) B(5,2)

Answer 1

If a point undergoes a reflection over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same.

The coordinates of the reflected points would be:
A'(-2,5)
C'(-2,2)
B'(-5,2)

Using the distance formula, we can find the length of BC:
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

dBC = sqrt[(5 - 2)^2 + (2 - 2)^2]
= sqrt[3^2 + 0^2]
= sqrt(9)
= 3

Therefore, the length of BC is 3.