3.3.4 Practice: Modeling: The Pool Table Problem Geometry Sem 1 (S3537251) Points possible: 20 Practice Assignment Julio Duenas Date: ____________ Your Assignment: Bank Shot! Setting Up For the Shot You're playing a game of pool and it's your turn, but you have no direct shots. To make any shot, you will need to bank the cue ball off the side of the table before it hits your ball. The cue ball is 18 inches from the top bumper and 50 inches from the right bumper. The dimensions of the pool table are 96 inches in the horizontal direction by 46 inches in the vertical direction. Use the illustration of the table and what you know about similar triangles to plan your shot. 1. Which ball did you select? (1 point: 1 point for selection) 2. To get started, on the table below, draw and label the cue ball, the ball you want to hit, the pocket you're aiming for, and the distances you know. (5 points: 3 points for the sketch, 2 points for accurate labels) 3. Use what you know about angles of reflection to sketch and label the two similar triangles that will help you plan your shot. (4 points: 2 points for each triangle) 4. Explain how you know the triangles are similar. (1 point: 1 point for the explanation) 5. Label the correct point(s) in your sketch. Which endpoint will the cue ball hit first? (1 point: 1 point for the correct endpoint) 6. Set up the appropriate proportion and solve for the correct distance at which to aim. (4 points: 2 points for the proportion, 1 point for the work, 1 point for the distance) Your Next Shot Use the illustration below to make your next bank shot. You need to hit the black ball into the bottom right pocket by banking the cue ball off of the top bumper. 7. Sketch your similar triangles and then solve to find where you should aim the cue ball. (4 points: 2 points for the sketch, 2 points for the work and solution) Copyright 2015 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use . Any unauthorized copying, reuse, or redistribution is prohibited. Apex Learning and the Apex Learning Logo are registered trademarks