Question

multiple choice 1 point

1. assign is being created using two trapezoids where trapezoid efgh is the translation of trapezoid efgh. the table of translations is below.

	trapezoid efgh	efgh
f		f(4,2)
g	(2,1)	g(5,-1)
h	(-3,1)	h

find the coordinates of point f.
f(7,0) f(7,4) f(1,6) f(1,4)

Explanation:

Step1: Analyze the translation rule

To find the translation rule, compare the coordinates of corresponding points. For point E, E(-1,4) is translated to E'(2,2). The change in x - coordinate is \(2-(-1)=3\) and the change in y - coordinate is \(2 - 4=-2\).

Step2: Apply the translation rule to find F

The translation rule is \((x,y)\to(x + 3,y-2)\). Given F' has coordinates (4,2). Let the coordinates of F be \((x,y)\). Then \(x+3 = 4\) and \(y - 2=2\). Solving \(x+3 = 4\) gives \(x=4 - 3=1\), and solving \(y - 2=2\) gives \(y=2 + 2=4\).

Answer:

F(1,4)