Question

What are the new vertices of quadrilateral KLMN if the quadrilateral is translated two units to the right and four units upward?

A)

K′ = (–2,0), L′ = (1,0), M′ = (1,–3), N′ = (–2,–3)

B)

K′ = (–2,2), L′ = (1,2), M′ = (1,–1), N′ = (–2,–1)

C)

K′ = (–0,0), L′ = (3,0), M′ = (3,–1), N′ = (0,–1)

D)

K′ = (–2,–2), L′ = (1,–2), M′ = (1,–5), N′ = (–2,–5)

Answer 1

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Answer:

B) K′ = (–2,2), L′ = (1,2), M′ = (1,–1), N′ = (–2,–1)

Explanation:

Translation 2 units right adds 2 to the x-coordinate.

Translation 4 units upward adds 4 to the y-coordinate.

The translation can be represented by the relation ...

(x, y) ⇒ (x +2, y +4)

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You can choose the correct answer by looking at the translation of K.

K(-4, -2) ⇒ K'(-4+2, -2+4) = K'(-2, 2) . . . . . matches choice B