Question

What is the translation of UEFG with vertices E(3, 2), F(2,5), G(-1,2) by vector (-1, -4)?

a) E(-4, -2), F(-3, 1), G(-2, -2)
b) E(2, -2), F(1, 1), G(-2, -2)
c) E(2, -6), F(1, -1), G(-2, -6)
d) E(-4, -6), F(-3, -1), G(-2, -6)

Answer 1

To translate the points E(3, 2), F(2,5), G(-1,2) by vector (-1, -4), subtract the components of the vector from the coordinates of each point.

Step-by-step explanation:

To translate the points E(3, 2), F(2,5), and G(-1,2) by vector (-1, -4), you need to subtract the components of the vector from the coordinates of each point. Here's how you do it:

E' = E + (-1, -4)

F' = F + (-1, -4)

G' = G + (-1, -4)

Substituting the coordinates of each point:

E' = (3 - 1, 2 - 4) = (2, -2)

F' = (2 - 1, 5 - 4) = (1, 1)

G' = (-1 - 1, 2 - 4) = (-2, -2)

So, the translation of the points E(3, 2), F(2,5), G(-1,2) by vector (-1, -4) is E'(2, -2), F'(1, 1), G'(-2, -2).