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The figure MNPQ has vertices M(-2, 0), N(1, 0), P(2, 2), and Q(-1, 2). Which of the following describes the translation if M' has coordinates (1, 4)?4 units right and 3 units up3 units left and 4 units up3 units right and 4 units up4 units right and 3 units downnone of the above

Question

The figure MNPQ has vertices M(-2, 0), N(1, 0), P(2, 2), and Q(-1, 2). Which of the following describes the translation if M' has coordinates (1, 4)?4 units right and 3 units up3 units left and 4 units up3 units right and 4 units up4 units right and 3 units downnone of the above

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Solution

To find the translation, we need to compare the coordinates of M and M'.

M is at (-2, 0) and M' is at (1, 4).

To get from M to M', we add 3 to the x-coordinate (-2 + 3 = 1) and add 4 to the y-coordinate (0 + 4 = 4).

So, the translation is 3 units to the right and 4 units up.

Therefore, the correct answer is "3 units right and 4 units up".

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