Question

special review a diamond figure has vertices with coordinates at (-5, -4), (-3, -2), (-1, -4), and (-3, -6). if the figure is translated 3 units right and 8 units up, what are the coordinates of the vertices?

Explanation:

Step1: Recall translation rule

For a translation of 3 units right and 8 units up, we add 3 to the x - coordinate and 8 to the y - coordinate of each point.

Step2: Translate point (-5, -4)

The new x - coordinate is $-5 + 3=-2$, and the new y - coordinate is $-4 + 8 = 4$. So the new point is $(-2,4)$.

Step3: Translate point (-3, -2)

The new x - coordinate is $-3+3 = 0$, and the new y - coordinate is $-2 + 8=6$. So the new point is $(0,6)$.

Step4: Translate point (-1, -4)

The new x - coordinate is $-1 + 3=2$, and the new y - coordinate is $-4 + 8 = 4$. So the new point is $(2,4)$.

Step5: Translate point (-3, -6)

The new x - coordinate is $-3+3 = 0$, and the new y - coordinate is $-6 + 8 = 2$. So the new point is $(0,2)$.

Answer:

The new coordinates are $(-2,4),(0,6),(2,4),(0,2)$