To find the distance of A' B' after the reflection over the x-axis, we first need to find the coordinates of A' and B' after the reflection.
For A', the x-coordinate remains the same, while the y-coordinate changes its sign. Since A is located on the x-axis, its y-coordinate is 0. Therefore, the coordinates of A' after the reflection over the x-axis are (x, -y).
For B', the x-coordinate remains the same, while the y-coordinate changes its sign. Since B is located on the positive y-axis, its y-coordinate is positive. Therefore, the coordinates of B' after the reflection over the x-axis are (x, -y).
Next, we need to perform the translation of (x+4, y-9) on the coordinates of A' and B'.
The coordinates of A' after the translation are (x+4, -y-9).
The coordinates of B' after the translation are (x+4, -y-9).
To find the distance between A' and B', we use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Distance = √((x+4 - x+4)^2 + ((-y-9) - (-y-9))^2)
Distance = √(0^2 + 0^2)
Distance = √0
Distance = 0 inches
If
AB
=
12 inches then find the distance of
A
′
B
′
after a reflection over the x-axis and a translation of
(x+4, y−9)
=A ′ B ′ = inches
1 answer