Question

1. (sbac) a student graphed triangle abc on a coordinate plane, as shown to the right. after a translation, the location of vertex a is (-7,-1). what ordered pair describes the location of point b after the triangle is translated? a. (-8,-5) b. (-8, 5) c. (-5,-2) d. (-5, 2)

Explanation:

Step1: Find original coordinates of A

From the graph, original vertex A is at (- 2, 3).

Step2: Determine translation rule

The x - coordinate of A changes from - 2 to - 7, so $\Delta x=-7-( - 2)=-5$. The y - coordinate of A changes from 3 to - 1, so $\Delta y=-1 - 3=-4$. The translation rule is $(x,y)\to(x - 5,y - 4)$.

Step3: Find original coordinates of B

From the graph, original vertex B is at (- 3, 9).

Step4: Apply translation rule to B

For point B, new x - coordinate is $-3-5=-8$, new y - coordinate is $9 - 4 = 5$. So the new coordinates of B are (- 8, 5).

Answer:

B. (-8, 5)