Triangle PQR has coordinates P (-8, 3), Q (-8, 6), and R (-3, 6). If the triangle is translated by using the rule (x, y) right-arrow (x + 4, y minus 6), what are the coordinates of triangle P prime Q prime R prime? (a) P prime (negative 12, 9), Q prime (negative 12, 12), R prime (negative 7, 12) (b) P prime (negative 4, 7), Q prime (negative 14, 0), R prime (1, 10) (c) P prime (negative 4, 9), Q prime (negative 4, 12), R prime (1, 12) (d) P prime (negative 4, negative 3), Q prime (negative 4, 0), R prime (1, 0)

Question

Mathematics

Isabell Nielsen

11 January, 13:48

Triangle PQR has coordinates P (-8, 3), Q (-8, 6), and R (-3, 6). If the triangle is translated by using the rule (x, y) right-arrow (x + 4, y minus 6), what are the coordinates of triangle P prime Q prime R prime? (a) P prime (negative 12, 9), Q prime (negative 12, 12), R prime (negative 7, 12) (b) P prime (negative 4, 7), Q prime (negative 14, 0), R prime (1, 10) (c) P prime (negative 4, 9), Q prime (negative 4, 12), R prime (1, 12) (d) P prime (negative 4, negative 3), Q prime (negative 4, 0), R prime (1, 0)

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Answers (1)

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Alan Walton · Answer 1

d

Step-by-step explanation:

The rule (x, y) → (x + 4, y - 6)

means add 4 to the original x - coordinate and subtract 6 from the original y - coordinate, thus

P ( - 8, 3) → P' ( - 8 + 4, 3 - 6) → P' ( - 4, - 3)

Q ( - 8, 6) → Q' ( - 8 + 4, 6 - 6) → Q' ( - 4, 0)

R ( - 3, 6) → R' ( - 3 + 4, 6 - 6) → R' (1, 0)