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 .
Since line segment CD is divided into equal parts, we can find the coordinates of point C by finding the midpoint of line segment AB.
The x-coordinate of the midpoint is the average of the x-coordinates of A and B: ( -3 + 9 ) / 2 = 6 / 2 = 3.
The y-coordinate of the midpoint is the average of the y-coordinates of A and B: ( 9 + 5 ) / 2 = 14 / 2 = 7.
Therefore, the coordinates of point C are (3, 7).
To find the coordinates of point E, we can first find the midpoint of line segment CH.
The x-coordinate of the midpoint is the average of the x-coordinates of C and H: ( 3 + 9 ) / 2 = 12 / 2 = 6.
The y-coordinate of the midpoint is the average of the y-coordinates of C and H: ( 7 + 5 ) / 2 = 12 / 2 = 6.
Therefore, the coordinates of point E are (6, 6).
To find the coordinates of point H, we can first find the midpoint of line segment CD.
The x-coordinate of the midpoint is the average of the x-coordinates of C and D: ( 3 + 9 ) / 2 = 12 / 2 = 6.
The y-coordinate of the midpoint is the average of the y-coordinates of C and D: ( 7 + 1 ) / 2 = 8 / 2 = 4.
Therefore, the coordinates of point H are (6, 4).