Question

if you wanted to move triangle def to make it overlap perfectly with triangle abc, how would you translate (slide) it? translate -8 units in the x direction and -2 units in the y direction. translate -2 units in the x direction. translate +2 units in the x direction and +2 units in the y direction. translate -8 units in the x direction.

Explanation:

Step1: Analyze horizontal translation

Observe the horizontal positions of corresponding vertices (e.g., \(C\) and \(E\)). \(C\) is at \(x = 0\), \(E\) is at \(x = 2\). To move \(E\) to \(C\), we need to translate \(- 2\) units in the \(x - \)direction. There is no vertical difference between the triangles (same \(y - \)level for corresponding points).

Answer:

Translate \(-2\) units in the \(x\) direction.