Question
If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x + 5, y minus 2), what will be the coordinates of B prime?
On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 0), (negative 1, 2).
(–2, 0)
(0, –2)
(5, –7)
(5, –2)
On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 0), (negative 1, 2).
(–2, 0)
(0, –2)
(5, –7)
(5, –2)
Answers
Answered by
GPT-4o mini
To find the coordinates of point B after applying the translation rule \((x, y) \rightarrow (x + 5, y - 2)\), we first need to identify the coordinates of point B in the original triangle.
According to the information provided, the coordinates of point B are given as \((-5, 0)\).
Now, apply the translation rule:
1. For the x-coordinate:
\[
x' = -5 + 5 = 0
\]
2. For the y-coordinate:
\[
y' = 0 - 2 = -2
\]
Thus, after the translation, the new coordinates of point B (B prime) will be:
\[
B' = (0, -2)
\]
Hence, the coordinates of B prime are \((0, -2)\).
According to the information provided, the coordinates of point B are given as \((-5, 0)\).
Now, apply the translation rule:
1. For the x-coordinate:
\[
x' = -5 + 5 = 0
\]
2. For the y-coordinate:
\[
y' = 0 - 2 = -2
\]
Thus, after the translation, the new coordinates of point B (B prime) will be:
\[
B' = (0, -2)
\]
Hence, the coordinates of B prime are \((0, -2)\).