Question

The composition of translations that maps RSVT to R"S"V"T" is described by which rule?

a) (x + 2, -y - 4) followed by (x + 2, -y - 4)
b) (x + 4, -y - 8)
c) (x + 4, -y - 4)
d) (x + 6, -y - 8)

Answer 1

The composition of translations that maps RSVT to R"S"V"T" is described by rule (c) (x + 4, -y - 4).

Step-by-step explanation:

The composition of translations that maps RSVT to R"S"V"T" is described by rule (c) (x + 4, -y - 4).

To obtain the rule, we need to consider the translation vectors involved. The first translation is (x + 2, -y - 4) and the second translation is (x + 2, -y - 4).

When we combine the two translations, we add the x-components and the y-components separately. So the rule is (x + 2 + 2, -y - 4 - 4) which simplifies to (x + 4, -y - 4).