Final answer:
The coordinates of point C in the square ABCD with A at (3,4) and D at (10,4) are (10, 11), found by adding the side length of the square, which is 7 units, to the y-coordinate of A.
Step-by-step explanation:
The question involves finding the coordinates of point C in a square ABCD, given point A's coordinates (3,4) and knowing that D is horizontally aligned with A, at (10,4). Since ABCD is a square, the sides must be equal in length. The distance between A and D is 10 - 3 = 7 units. Therefore, the length of each side of the square is 7 units.
To find the coordinates of point C, we need to add this length to the y-coordinate of points A and B because C is directly above A and to the right of B. Thus, the coordinates of point C will be at (10, 4+7) which simplifies to (10, 11).
So, the coordinates of point C in the square ABCD are (10, 11).