Question

3
complete the square above. what are the coordinates of the missing vertex?
a. (4,5)
b. (6,4)
c. (4,6)
d. (5,4)

Explanation:

Step1: Analyze the properties of a square

In a square, all sides are equal and adjacent sides are perpendicular.

Step2: Determine the \(x\) - coordinate

Looking at the horizontal side, the \(x\) - coordinate of the missing vertex should be the same as the left - most \(x\) - coordinate of the vertical side. The vertical side has \(x = 4\).

Step3: Determine the \(y\) - coordinate

Looking at the vertical side, the \(y\) - coordinate of the missing vertex should be the same as the top - most \(y\) - coordinate of the horizontal side. The horizontal side has \(y = 6\).

Answer:

C. \((4,6)\)