Question

jacob is playing miniature golf. he states that he cannot hit the ball from the start, bounce it off the back wall once, and reach the hole in one shot. is jacob correct? trace and label a diagram to support your answer. which of the following diagrams correctly supports whether he can hit the ball from the start, bounce it off the back wall once, and reach the hole in one shot? o a o b o c o d

Explanation:

Step1: Understand the reflection principle

When a ball bounces off a wall, the angle of incidence equals the angle of reflection. We can use the concept of reflecting the hole (or the start point) over the back - wall. If the line from the start point (after appropriate reflection) to the reflected hole (or vice - versa) passes through the back - wall, then it is possible to hit the ball in one shot.

Step2: Analyze each option

• Option A:

The reflection of the hole \(H\) over the back - wall (the vertical dashed line). The line from \(S\) to the reflected \(H\) does not pass through the back - wall in a way that would represent a valid single - bounce shot.

• Option B:

Reflect the hole \(H\) over the back - wall. The line from \(S\) to the reflected \(H\) (using the law of reflection: angle of incidence = angle of reflection) shows a valid path where the ball can bounce off the back - wall once. The path from \(S\) to the point of incidence on the back - wall and then to \(H\) satisfies the geometric condition of reflection.

• Option C:

The reflection and the path analysis do not follow the law of reflection (angle of incidence = angle of reflection) for a single - bounce shot off the back - wall.

• Option D:

This option has an extra (unnecessary) reflection or a non - valid geometric path that does not follow the simple single - bounce (off the back - wall) principle based on the law of reflection.

Answer:

B.