Question

Translate the triangle then enter the new coordinates. A(?,?) B(?,?)C(?,?) A(4,-1) B(5,-4) C(1,-3) <-2,3>

Please help quickly!! :)

Answer 1

To translate the triangle, add the vector <-2,3> to the original coordinates of each vertex. The new coordinates are A'(2,2), B'(3,-1), and C'(-1,0).

Step-by-step explanation:

To translate the triangle with vertices A(4,-1), B(5,-4), and C(1,-3) by the vector <-2,3>, we add the vector components to each of the vertices' coordinates. A translation involves adding the x-component of the vector to the x-coordinates of the triangle's vertices, and the y-component to the y-coordinates.

For point A(4,-1), the new coordinates will be:

• Anew = (4 - 2, -1 + 3)
• Anew = (2, 2)

For point B(5,-4), the new coordinates will be:

• Bnew = (5 - 2, -4 + 3)
• Bnew = (3, -1)

For point C(1,-3), the new coordinates will be:

• Cnew = (1 - 2, -3 + 3)
• Cnew = (-1, 0)

The new coordinates for the translated triangle are A(2, 2), B(3, -1), C(-1, 0).