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The coordinates of points C, E and G are respectively; C(-0.75, 8.5), E(3.75, 7.5) and H(7.5, 6)
How to find the Coordinates of a Line Segment?
We are told that the line AB is divided into 7 equally spaced points labelled as C, D, E, F, G, H and I.
Now, coordinates of A and B are; A(-3, 9) and B(9, 5)
Since they are equally spaced, then it means that point F is the midpoint of the line. If (x, y) is the coordinate of F, then;
x, y = (-3 + 9)/2, (9 + 5)/2
x, y = (6, 7)
H is the midpoint of FB. Thus;
H(x, y) = (6 + 9)/2, (5 + 7)/2
H(x, y) = (7.5, 6)
D is midpoint of A and F. Thus;
D(x, y) = (-3 + 6)/2, (9 + 7)/2
D(x, y) = (1.5, 8)
E is midpoint of F and D. Thus;
E(x, y) = (1.5 + 6)/2, (8 + 7)/2
E(x, y) = (3.75, 7.5)
C is midpoint of D and A. Thus;
C(x, y) = (-3 + 1.5)/2, (9 + 8)/2
C(x, y) = (-0.75, 8.5)
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Answer:
Select the correct answer from each drop-down menu.
Segment AB has seven equally spaced points on it. Starting at A and moving left to right, the points are C, D, E, F, G, H, and I.
In the diagram, is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5).
The coordinates of point C are
.
The coordinates of point E are
.
The coordinates of point H are
.
cordinates for c are -1.5, 8.5 E is 1.5, 7.5 H is 6,6
Step-by-step explanation: