Answer: Triangle C.
Step-by-Step Explanation:
To solve this problem, we need to understand what it means for a triangle to be a translation of another triangle. A translation for a triangle means that it is the same shape and size as the original triangle, but it has shifted (or moved) a specific number of units either up, down, left, or right.
In this problem, we have Triangle P, which has been shifted 5 units to the right and 7 units up to form Triangle C. To determine which triangle is a translation of Triangle P, we can look at the coordinates of the different triangles.
Triangle A: (1, 4), (3, 7), (5, 6)
Triangle B: (2, 3), (4, 6), (6, 5)
Triangle C: (6, 11), (8, 14), (10, 13)
Triangle D: (3, 5), (5, 8), (7, 7)
If we compare the coordinates of each triangle with those of Triangle P, we can see that Triangle C, with coordinates (6, 11), (8, 14) and (10, 13), is the translation of Triangle P because all of the coordinates of Triangle P have been shifted 5 units to the right, and 7 units up. Therefore, the answer is Triangle C.