You live at point A and your friend lives at point D. You let your friend borrow your calculator but you need it for tomorrow! One corner is at (-3, 1), another is at (3, 4), the next is at (7, 2), and the last is at (1, 1). You need to meet in the middle of your two houses. Which point do you meet at? Answer Choices:

Question

(0, 0)

(1, 1)

(1.5, 1.5)

(2, 1.5)

Answer 1

To find the midpoint between two points, we average the x-coordinates of the two points and average the y-coordinates of the two points.

The x-coordinate of point A is -3, and the x-coordinate of point D is 1.

(-3 + 1)/2 = -2/2 = -1

The y-coordinate of point A is 1, and the y-coordinate of point D is 1.

(1 + 1)/2 = 2/2 = 1

Therefore, the midpoint is (-1, 1).

None of the answer choices match (-1, 1), so the correct answer is not listed.

Answer 2

The midpoint of AB is (2,4). Point A is at (7,2), where is point B?
Responses

(-3,6)

(4,2)

(5,2)

(6,-3)

Answer 3

To find the location of point B, we can use the midpoint formula which states that the midpoint of a line segment between two points (x1, y1) and (x2, y2) is ((x1 + x2)/2, (y1 + y2)/2).

Given that the midpoint of AB is (2, 4) and point A is at (7, 2), we can substitute these values into the midpoint formula:

(2, 4) = ((7 + x2)/2, (2 + y2)/2)

Now we can solve for x2 and y2:

2 = (7 + x2)/2
4 = (2 + y2)/2

Multiplying both sides of the first equation by 2 yields:

4 = 7 + x2

Subtracting 7 from both sides gives:

-3 = x2

Multiplying both sides of the second equation by 2 yields:

8 = 2 + y2

Subtracting 2 from both sides gives:

6 = y2

Therefore, point B is at (-3, 6).

The answer is: (-3, 6).