Question

Please answer this question in 2 minutes

Answer 1

T: (8, 6)

Explanation:

The midpoint formulas for xm and ym involve the average x value and the average y value. Let T: (a, b) and V: (10,2). The actual midpoint is M(9,4).

Looking at the x-coordinates first:

a + 10

--------- = 9 (x-coordinate of the midpoint)

2

Then a + 10 = 18 and a = 8 (x-coordinate of point T)

Next, look at the y-coordinates:

b + 2

-------- = 4 (y-coordinate of the midpoint)

2

Then b + 2 = 8 and b = 6

Then the x- and y-coordinates of T(a, b) are 8 and 6 respectively:

T: (8, 6)

Answer 2

(8, 6)

Explanation:

M (9. 4)

TU (x, y)

U (10.2)

T:

• 9= (x+10)/2 ⇒ x= 8
• 4= (y+2)/2 ⇒ y= 6

T = (8, 6)