Draw a line segment that starts at E, goes through the colored ball , and ends at the other side of the table . Label the other endpoint of the segment C. d. Draw a line segment from C to A (the cue ball ). This segment will make the same angle with the bumper as CE e. Draw a perpendicular line segment from A to the same bumper (side of table ) C is on . Label the endpoint B f. Complete triangle ABC by drawing the line segment BC 3. Complete triangle CDE that is similar to ABC . Where does D need to be to create a similar triangle ? Label vertex D and mark the angles that have the same measure . (2 points ) 4. Assign a variable to name the length of BC and label it on your figure . To identify the lengths of AB , CD , and DE , use the dimensions of the pool table . Some lengths will include a variable (4 points : 1 point for each label ) 5. Use your similar triangles to set up a proportion . Solve this proportion for the unknown variable , the length of BC . (5 points : 2 points for the proportion , 3 points for the work ) to make a shot , the player would have to need to break the cue ball off the side of the table before it hits the yellow ball 6. To make your shot, you need the cue ball to hit point C. Find length CD and use it to identify the location of C in relation to one of the comer pockets . For example , if C is on the upper bumper , your answer might be : 15 inches to the right of the upper left pocket . Round your answer to the nearest inch . (2 points : 1 point for distance point for C 50in location )