Question

Points (4, 5) and (10, 5) are vertices of a rectangle.

Answer 1

Answer:

(4, 2,), (10, 2), OR (4, 8,), (10, 8)

Step-by-step explanation:

Well, the distance between 4, 5 and 10, 5 is 6. This is a difference in the x axis point, the length. Therefore, you either add half of 6, (3) or subtract half of 6 to the y coordinate, 5.

Answer 2

Answer:

the remaining two vertices must be (4, -7) and (10, -7).

Step-by-step explanation:

The vertices (4, 5) and (10, 5) lie on the same horizontal line, y = 5.  The length of the rectangle is the difference between the two x-coordinates:  10 - 4, or 6.

Let's denote 6 as the width.  Then the length is twice that, or 12.

Then the remaining two vertices must be (4, -7) and (10, -7).

Check:  is the width 6?  Does 10 - 4 equal 6?  Yes

Is the length twice the width, or 12?  Does 5 - (-7) = 12?  YES