Question

parallelogram defg with coordinates d(0, 2), e(1, 5), f(6, 5), and g(5, 2) is translated - 7 units horizontally.

Explanation:

Step1: Recall translation rule

For a horizontal translation of $- 7$ units, we subtract 7 from the x - coordinates of each point.

Step2: Translate point D

The original coordinates of D are $(0,2)$. The new x - coordinate is $0 - 7=-7$, and the y - coordinate remains the same. So the new coordinates of D are $(-7,2)$.

Step3: Translate point E

The original coordinates of E are $(1,5)$. The new x - coordinate is $1 - 7=-6$, and the y - coordinate remains 5. So the new coordinates of E are $(-6,5)$.

Step4: Translate point F

The original coordinates of F are $(6,5)$. The new x - coordinate is $6 - 7=-1$, and the y - coordinate remains 5. So the new coordinates of F are $(-1,5)$.

Step5: Translate point G

The original coordinates of G are $(5,2)$. The new x - coordinate is $5 - 7=-2$, and the y - coordinate remains 2. So the new coordinates of G are $(-2,2)$.

Answer:

The new coordinates of the parallelogram are $D(-7,2)$, $E(-6,5)$, $F(-1,5)$, $G(-2,2)$