CD has endpoints C and D, with C at coordinates (5,8). CD has midpoint M at (3,9).
What are the coordinates of point D?
I thought it was (1, 10) but apparently it's not
(1,10) is correct.
it keeps saying it's incorrect though im confused
even texts and online tests have mistakes.
Better take it up with your teacher.
yeah i figured it out they told me to input it one way so i did but they actually had it set it to input a different way than what was said
To find the coordinates of point D, we need to use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of their x-coordinates and the average of their y-coordinates.
In this case, the coordinates of point C are (5, 8) and the coordinates of the midpoint M are (3, 9).
Let's denote the coordinates of point D as (x, y). Using the midpoint formula, we can set up the following equations:
(x1 + x) / 2 = x2 ⇒ (5 + x) / 2 = 3 ⇒ 5 + x = 6 ⇒ x = 1
(y1 + y) / 2 = y2 ⇒ (8 + y) / 2 = 9 ⇒ 8 + y = 18 ⇒ y = 10
Therefore, the coordinates of point D are (1, 10).
So, your initial answer of (1, 10) is indeed correct.