Question

What's the answer to this question and can you please explain how that is the answer ?

Answer 1

A (-4, 3)

B(-4, 1)

C(-2, 1)

When you reflect about the y-axis, the coordinate becomes (-x, y)

A(-4, 3) ⇒ A' ( 4, 3)

B(-4, 1) ⇒ B' (4, 1)

C(-2, 1) ⇒ C' ( 2, 1)

To find the length of B'C', we will use the distance formula

`|d|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

x₁=4 y₁= 1 x₂=2 y₂=1

substitute the coordinates in the above

`|d|=\sqrt[]{(2-4)^2+(1-1)^2}`

`=\sqrt[]{(-2)^2+0}`
`=\sqrt[]{4}`

`=2`

Hence, the length is 2