Video: Determining the Ordered Pair of a Point Completing a Square on a Coordinate Plane

What are the coordinates of the missing point which would complete the square?

02:09

Video Transcript

What are the coordinates of the missing point which would complete the square?

We have two lines and three points. The first thing we want to do is measure the length of each side. What is the distance between these two points? The line goes from the two on the 𝑥-axis to the six on the 𝑥-axis. From two to six is a length of four. So one of the lines has a length of four. Our second line goes from three on the 𝑦-axis to seven on the 𝑦-axis. It also is a distance of four. And this makes sense because our problem told us we were working with a square. To complete this square, we’ll need to add two more sides of length four.

Now we have completed our square. But the question is asking what are the coordinates of that missing point, here. We write coordinates in parentheses with the 𝑥-value, a comma, and then the 𝑦-value. On the 𝑥-axis, the missing coordinate is at point six. That means we move six to the right. And we move up three to find this point. That means the 𝑦-coordinate is three.

The missing coordinate to complete this square is six, three.

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