Question

3. Line segment AB is drawn on the grid with endpoints at A(0, 8) and B(6, 0) . Using only a straightedge and the grid itself, divide AB into four congruent segments.

Answer 1

(1.5 , 6)

(3 , 4)

(4.5 , 2)

(6 , 0)

Step-by-step explanation: Given that the segment AB is drawn on the grid with endpoints at A(0, 8) and B(6, 0)

(6 - 0) , (0 - 8) = (6 , -8)

divide AB into four congruent segments. Will be

(6 × 1/4) , (- 8 × 1/4)

3/2 , -2

(0 + 3/2), (8-2) = 1.5 , 6

(1.5 + 1.5) , (6-2) = 3 , 4

(3 + 1.5) , (4 - 2) = 4.5 , 2

(4.5 + 1.5) , ( 2 - 2) = 6 , 0