Question

The coordinates of three vertices of a square are (1, –1), (6, –1), and (6, 4). Fill in each blank to make the statement true. a. What are the coordinates of the fourth vertex? A. (1, 4) B. (4, 6) C. (–1, 6) D. (4, –1)

Answer 1

The fourth vertex of the square is A. (1, 4). This is determined by understanding the structure of a square and using the coordinates of the given vertices.

Step-by-step explanation:

The question is essentially asking for the location of the fourth vertex of a square, given the coordinates of three existing vertices. The structure of a square can help us find the fourth vertex. The vertices we know so far are (1, –1), (6, –1), and (6, 4). We can determine two sides of a square from these points: the first from (1, -1) to (6, -1), and the second from (6, -1) to (6, 4). By shifting the first side vertically up by the height of the second side, we can find the fourth vertex. As (1, -1) determines the first side and (6, 4) the second, adding the 'y' value difference (4--1=5) to the 'y' of the first vertex gives us (1, 4).

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