Question

for the miniature golf hole, jacob wants to bounce the ball off the back wall and then the right wall. draw a diagram to show how jacob can hit the ball so that it reaches the hole after two bounces.
which of the following correctly shows the appropriate reflections to show how jacob can hit the ball so that it reaches the hole after two bounces?

Explanation:

Step1: Analyze the reflection principle

When reflecting a point over a line (in this case, the walls), the angle of incidence equals the angle of reflection. For the ball to bounce off the back - wall and then the right - wall, we first reflect the hole \(H\) over the right - wall to get \(H'\), and then we don't need an extra reflection as in option C (which has an extra reflection point \(H''\)) and option D (which has incorrect multiple reflections).

Step2: Check the path from the starting point \(S\)

We want a straight - line path (after reflections) from the starting point \(S\) to the reflected point \(H'\) (reflected over the right - wall). Option A has an incorrect starting reflection. Option B correctly reflects the hole \(H\) over the right - wall (to get \(H'\)) and then the path from \(S\) to \(H'\) (via the two - wall bounces) is consistent with the law of reflection.

Answer:

B.