Question

1. a pentagon with vertices p(1,2), q(3,2), r(4,4), s(2,5), and t(0,4) is translated to p(3,4), q(5,4), r(6,6), s(4,7), and t(2,6). what is the translation rule?

a. (x + 4,y + 6)
b. (x - 2,y + 2)
c. (x + 2,y - 2)
d. (x + 2,y + 2)

Explanation:

Step1: Find change in x - coordinate

For point P(1, 2) and P'(3, 4), the change in x - coordinate is \(3 - 1=2\). For other points, check the x - coordinate change. For Q(3, 2) and Q'(5, 4), \(5 - 3 = 2\).

Step2: Find change in y - coordinate

For point P(1, 2) and P'(3, 4), the change in y - coordinate is \(4 - 2 = 2\). For Q(3, 2) and Q'(5, 4), \(4 - 2=2\).

Answer:

d. \((x + 2,y + 2)\)