1a. Triangle PQR has vertices P(3, 5), Q(-2, 6) and R(8, -1). Give the coordinates of the vertices after the translation (x, y) → (x + 4, y – 5). What will P’ (__, __) be?

Question

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(-1, 0)
(7,0)
(7,9)
(-2, 0)

Answer 1

To find the new coordinates of the vertices of triangle PQR after the translation (x, y) → (x + 4, y – 5), we'll apply the transformation to each vertex.

Given:
- P(3, 5)
- Q(-2, 6)
- R(8, -1)

Applying the translation to P(3, 5):
- Translated P: \( P' = (3 + 4, 5 - 5) = (7, 0) \)

Thus, P’ will be:
- (7, 0)

So, the correct answer for P' is:
(7, 0)