Triangle ABC has the following vertices: A (-1, 4), B (-1, 10), and C (3, 6).
It is translated to form Triangle A'B'C', and the new vertices are located at: A' (3, 4), B' (3, 10), and C' (7, 6).
Which statement below describes the translation that has occurred?
A.)4 units to the left
B.)2 units up
C.)3 units to the right
D.)4 units to the right
Look at the x-coordinate for each of the 3 vertices:
To get from A(-1,4) to A'(3,4) you need to go 4 to the right
To get from B(-1,10) to B'(3,10) you need to go 4 to the right
To get from C(7,8) to C'(7,6) you need to go 4 to the right
So, obviously, D must be right
To determine the type of translation that has occurred, we need to calculate the change in coordinates for each vertex from the original triangle to the new triangle.
For vertex A, the x-coordinate has increased by 4 units (from -1 to 3) and the y-coordinate remains the same.
For vertex B, the x-coordinate has increased by 4 units (from -1 to 3) and the y-coordinate remains the same.
For vertex C, the x-coordinate has increased by 4 units (from 3 to 7) and the y-coordinate remains the same.
By comparing the original coordinates to the new coordinates, we can see that all the points have shifted 4 units to the right. Therefore, the correct statement is:
C.) 3 units to the right