Question

Translate the triangle with vertices A3,4,B2,-1 , and C4,12 along the vector -1,3 . Find the coordinates of the new image.

1. A'-3,12,B'-2,-3 and C'-4,36
2. A'6,3,B'5,-2 and C'7,11
3.A'4,7,B'3,-2 and C'5,15
4.A'2,7,B'1,2 and C'3,15

Answer 1

To translate the triangle with the given vector -1,3, each vertex's coordinates are adjusted accordingly. The new vertices of the translated triangle are A'(2,7), B'(1,2), and C'(3,15).

Step-by-step explanation:

To translate a triangle along a given vector, we add the vector components to each vertex of the triangle. Given the vector -1, 3 and the vertices A(3,4), B(2,-1), C(4,12), we calculate the new coordinates:

• A' = (3 - 1, 4 + 3) = (2, 7)
• B' = (2 - 1, -1 + 3) = (1, 2)
• C' = (4 - 1, 12 + 3) = (3, 15)

The translated triangle has vertices at A'(2,7), B'(1,2), and C'(3,15).