In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C? A. (2, -1) B. (5, -3) C. (2, -3) D. (7, -1)

A.

Step-by-step explanation:

Given

Required

Determine the coordinates of C

Since, point D divides line AB in ratio, 5 : 3;

We start by calculating the coordinates of D;

This is done as follows;

Where

Since AC is vertical

Then, Point C has the same x coordinate as A

Similarly;

Since CD is horizontal

Then, Point C has the same y coordinate as D

Hence,

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step-by-step explanation: