Question

3.4 translations - graded
triangle abc has vertices a(-2, 3), b(-1, 7), c(6, 8). find the coordinates of the points after a translation left 7 units and down 5 units.
a(
)
b(
)
c(
)

Explanation:

Step1: Recall translation rule

For a left - 7 units and down - 5 units translation, we subtract 7 from the x - coordinate and 5 from the y - coordinate of each point.

Step2: Translate point A

For point A(-2, 3), new x - coordinate is $-2-7=-9$, new y - coordinate is $3 - 5=-2$. So A' is (-9,-2).

Step3: Translate point B

For point B(-1, 7), new x - coordinate is $-1-7=-8$, new y - coordinate is $7 - 5 = 2$. So B' is (-8,2).

Step4: Translate point C

For point C(6, 8), new x - coordinate is $6-7=-1$, new y - coordinate is $8 - 5=3$. So C' is (-1,3).

Answer:

A'(-9,-2)
B'(-8,2)
C'(-1,3)