Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinates of A’?
Question
Question
Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinates of A’?
Answer:
The coordinates of point A’ will be: A'(-2, 0)
Step-by-step explanation:
We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.
Translation does not change the size, orientation, or shape of the original object.
Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).
Now we have to translate the triangle 4 units up. So, use the formula
P(x, y) → P'(x, y + 3)
Thus, the coordinates of point A’ will be:
A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)
Therefore, the coordinates of point A’ will be: A'(-2, 0)