You live at point B and your friend lives at point D. You forgot something at your friend's house, and you both agreed to meet in the middle of your two houses. Which point do you meet at?
Responses
(-0.5, 1.5)
(-0.5, 1.5)
(1, 0)
(1, 0)
(1.5, -0.5)
(1.5, -0.5)
(0, 1)
(0, 1)
To find the point that is equidistant between two given points, you need to find the average of the x-coordinates and the average of the y-coordinates of those points.
In this case, you live at point B and your friend lives at point D.
Let's assume the coordinates of point B are (x1, y1) and the coordinates of point D are (x2, y2).
To find the x-coordinate of the point where you both will meet, you need to take the average of the x-coordinates of B and D. So the average is (x1 + x2) / 2.
To find the y-coordinate of the point where you both will meet, you need to take the average of the y-coordinates of B and D. So the average is (y1 + y2) / 2.
Now, let's take a look at the answer choices:
- (-0.5, 1.5): This does not seem to be the average of the x-coordinates and y-coordinates.
- (1, 0): This does not seem to be the average of the x-coordinates and y-coordinates.
- (1.5, -0.5): This does not seem to be the average of the x-coordinates and y-coordinates.
- (0, 1): This seems to be the average of the x-coordinates and y-coordinates.
Therefore, the point where you both will meet is (0, 1).
To find the point that is in the middle of two given points, you can use the midpoint formula. Using the coordinates of point B and point D, the midpoint formula is:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given that you live at point B and your friend lives at point D, let's substitute the respective coordinates into the formula:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Midpoint = ((0 + 1) / 2, (1 + 0) / 2)
Midpoint = (1 / 2, 1 / 2)
Midpoint = (0.5, 0.5)
Therefore, you will meet approximately at the point (0.5, 0.5).