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 .

Respuesta :

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: