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Line segment GH has endpoint G(10,11) and H(−2, −7).



Part A: The point Z lies on segment GH and is located at (6, 5). What is the ratio of GZ: ZH?



Part B: Find the coordinates of Q such that HQ: GH = 1: 6.

Sagot :

PART A:

Answer:

(-1,-2)

Step-by-step explanation:

The given coordinates are ,

G ( 4 , 10)

H ( -2 , -6)

Midpoint can be calculated by finding the mean of x coordinates and y coordinates . As ,

→ Midpoint = ( 4-2/2 , 10-6/2)

→ Midpoint = ( -2/2 , -4/2 )

→ Midpoint = ( - 1 , -2)

Hence the midpoint is (-1,-2)

PART B:

To find out the midpoint,here's the formula: ((x1+x2)÷2 , (y1+y2)÷2)

Thus,the midpoint of QS is

((4+(-2))÷2 , (10+3)÷2)

=(1 , 13/2)

hope it helps!

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