The question involves translating triangle XYZ using the vector from point A to B, moving each vertex by the same distance and direction to get the new vertices X', Y', and Z'.
The question relates to the process of translating a triangle in the coordinate system using vectors.
The term 'translate along AB' generally means to move the triangle XYZ so that each point of the triangle is shifted by the same vector that takes point A to point B.
To perform the translation, one can follow these steps:
- Measure the distance and direction from A to B to determine the translation vector.
- Move each vertex of triangle XYZ (X, Y, and Z) by the same distance and direction identified in step 1.
- Label the new vertices X', Y', and Z' to represent the translated triangle.
This translation does not affect the shape or size of the triangle; it merely shifts its position in the coordinate plane.