Question

which translation is shown on the grid?
the triangles on the grid represent a translation.
a vertical translation only
a horizontal translation only
a vertical translation followed by a horizontal translation
a horizontal translation followed by a vertical translation

Explanation:

Step1: Analyze the horizontal movement

Count the number of units each point moves horizontally. For example, point \( A \) moves from \( x = - 1\) to \( x = 4\), a horizontal shift of \(4-(-1)=5\) units to the right. Similarly, point \( B\) moves from \(x=-5\) to \(x = 0\) (a shift of \(5\) units to the right) and point \(C\) moves from \(x=-4\) to \(x = 1\) (a shift of \(5\) units to the right). There is no vertical movement as the \(y -\)coordinates of corresponding points (e.g., \(A\) and \(A'\), \(B\) and \(B'\), \(C\) and \(C'\)) are the same.

Answer:

a horizontal translation only