Question

the coordinates of the vertices of a quadrilateral are e (1,2), f (1, -2), g (-2, -2), and h (-2,2). quadrilateral efgh is translated 4 units to the right and 5 units down to create quadrilateral efgh. what are the coordinates of the vertices of quadrilateral efgh? e = f =

Explanation:

Step1: Recall translation rule

For a translation 4 units right and 5 units down, the rule is $(x,y)\to(x + 4,y-5)$.

Step2: Find coordinates of E'

For point E(1,2), $x = 1,y = 2$. Then $x'=1 + 4=5,y'=2-5=-3$. So E' is (5,-3).

Step3: Find coordinates of F'

For point F(1,-2), $x = 1,y=-2$. Then $x'=1 + 4=5,y'=-2-5=-7$. So F' is (5,-7).

Step4: Find coordinates of G'

For point G(-2,-2), $x=-2,y = -2$. Then $x'=-2 + 4=2,y'=-2-5=-7$. So G' is (2,-7).

Step5: Find coordinates of H'

For point H(-2,2), $x=-2,y = 2$. Then $x'=-2 + 4=2,y'=2-5=-3$. So H' is (2,-3).

Answer:

E'=(5,-3)
F'=(5,-7)
G'=(2,-7)
H'=(2,-3)