Question

parallelogram defg with coordinates d(0, 2), e(1, 5), f(6, 5), and g(5, 2) is translated -7 units horizontally. a. a(6, 4) b(7, 6) c(9, 1) 7 fill in the blank 2 points b. d type your answer_ type your answer_ e(type your answer_ type your answer_

Explanation:

Step1: Recall translation rule

For a horizontal translation of - 7 units, subtract 7 from the x - coordinate of each point while the y - coordinate remains the same.

Step2: Translate point D

Given D(0, 2), new x - coordinate is \(0 - 7=-7\), y - coordinate is 2. So \(D'(-7,2)\).

Step3: Translate point E

Given E(1, 5), new x - coordinate is \(1 - 7=-6\), y - coordinate is 5. So \(E'(-6,5)\).

Step4: Translate point F

Given F(6, 5), new x - coordinate is \(6 - 7=-1\), y - coordinate is 5. So \(F'(-1,5)\).

Step5: Translate point G

Given G(5, 2), new x - coordinate is \(5 - 7=-2\), y - coordinate is 2. So \(G'(-2,2)\).

Answer:

D: (-7, 2)
E': (-6, 5)
F': (-1, 5)
G': (-2, 2)