Question

△abc is shown in the coordinate plane. △abc is translated 2 units to the left to form △abc. how will the coordinates of the vertices of △abc compare to the coordinates of the vertices of △abc? in △abc, each? will be the x - coordinate y - coordinate

Explanation:

Step1: Recall the rule for horizontal translation

When a point \((x,y)\) is translated \(h\) units to the left, the new \(x\) - coordinate is \(x - h\) and the \(y\) - coordinate remains the same. Here \(h = 2\).

Step2: Apply the translation rule to \(\triangle ABC\)

For any vertex \((x,y)\) of \(\triangle ABC\), the corresponding vertex \((x',y')\) of \(\triangle A'B'C'\) has \(x'=x - 2\) and \(y'=y\).

Answer:

In \(\triangle A'B'C'\), each \(x\) - coordinate will be \(2\) less than the \(x\) - coordinate of the corresponding vertex in \(\triangle ABC\), and the \(y\) - coordinates will be the same.