Timmy and his mom are building a vegetable garden in the back yard. If the vegetable garden is going to be a rectangle, where should they build the last corner?

Question

A first quadrant coordinate plane with 3 points connected. The first point is 5 comma 8. The second point is 10 comma 8. The third point is 10 comma 4.

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(6, 8)
(8, 6)
(4, 5)
(5, 4)

Answer 1

To find the last corner of the rectangle, we need to determine the coordinates based on the three given points:

1. (5, 8)
2. (10, 8)
3. (10, 4)

From these points, we can see that:

• The points (5, 8) and (10, 8) are horizontally aligned, meaning they share the same y-coordinate (8).
• The points (10, 8) and (10, 4) are vertically aligned, meaning they share the same x-coordinate (10).

To complete the rectangle, we need a point that shares the y-coordinate of (10, 4) and the x-coordinate of (5, 8). Thus, the remaining corner must be at:

• x-coordinate: 5 (from (5, 8))
• y-coordinate: 4 (from (10, 4))

Therefore, the coordinates of the last corner would be (5, 4).

Thus, the correct answer is:

(5, 4)