Question

BCD is a straight line and the length of BC is equal to the length of CD. Point C has coordinates (12,25). Point D has coordinates (5,29). What are the coordinates of point B ?

Answer 1

The coordinates of point B are (8.5,27).

Step-by-step explanation:

To find the coordinates of point B, we can use the fact that BCD is a straight line, and the length of BC is equal to the length of CD.

Since point C has coordinates (12,25) and point D has coordinates (5,29), we can use these coordinates to find the coordinates of B.

Since BC and CD have equal lengths, the x-coordinate of B will be the average of the x-coordinates of C and D, which is (12+5)/2 = 8.5.

The y-coordinate of B will be the average of the y-coordinates of C and D, which is (25+29)/2 = 27.

Therefore, the coordinates of point B are (8.5,27).

Answer 2

Point B lies at (8.5, 27) on the line segment CD.

Since BC and CD are equal in length, point B must be the midpoint of segment CD. We can find the midpoint's coordinates using the following formulas:

Midpoint x-coordinate = (x1 + x2) / 2

Midpoint y-coordinate = (y1 + y2) / 2

Plugging in the coordinates of C (12, 25) and D (5, 29), we get:

Midpoint x-coordinate = (12 + 5) / 2 = 8.5

Midpoint y-coordinate = (25 + 29) / 2 = 27

Therefore, the coordinates of point B are (8.5, 27).