Question

6. DE with endpoints D(-3, -4) and E(4, 2) under the translation
(x, y) + (x + 1, y + 3)

Answer 1

D'(-2, -1)

E'(5, 5)

Explanation:

DE has the coordinates of the endpoints as D(-3, -4) and E(4, 2).

These points are translated by the rule to give the translated image as D'E',

(x, y) → (x + 1, y + 3)

By following this rule,

D(-3, -4) → D'(-3 + 1, -4 + 3)

→ D'(-2, -1)

E(4, 2) → E'(4 + 1, 2 + 3)

→ E'(5, 5)

Now we can graph these image points having coordinates D'(-2, -1) and E'(5, 5).