CP Workbook
Plane Mirror Reflections
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Abe and Bev both look in a plane mirror directly in front of Abe (left). Abe can see himself while Bev cannot see herself - but can Abe see Bev, and can Bev see Abe? To find the answer we construct their virtual locations "through" the mirror, the same distance behind as Abe and Bev are in front (right). If straight-line connections intersect the mirror, as at point C, then each sees the other. The mouse, for example, cannot see or be seen by either Abe or Bev.
Refer to the following information for the next eight questions.
Here we have eight students in front of a small plane mirror.
Their positions are shown in the accompanying diagram. As you answer the following questions, refer to the location of each appropriate straight-line construction on a sheet of notebook paper.
Who can Abe see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Who can Bev see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Who can Cis see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Who can Don see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Who can Eva see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Who can Flo see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Who can Guy see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Who can Han see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Refer to the following information for the next six questions.
Six of our group are now arranged differently in front of the same mirror. Their positions are shown below. As you answer the following questions for this more interesting arrangement, refer to the location of each appropriate straight-line construction on a sheet of notebook paper.
Who can Abe NOT see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Who can Bev NOT see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Who can Cis NOT see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Who can Don NOT see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Who can Eva NOT see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Who can Flo NOT see?
Abe
Bev
Cis
Don
Eva
Flo
Guy
Han
Refer to the following information for the next question.
Harry Hotshot views himself in a full-length mirror. Show your partner where you should construct straight lines from Harry's eyes to the image of his feet, and to the top of his head. Then determine the minimum area of the mirror which Harry uses to see a full view of himself. [Use the
plane mirror resource lesson (link)
to aid your discussion.]
Does this region of the mirror depend on Harry's distance from the mirror?
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The Starlet
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Snell's Law
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Reflection
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Lensmaker Equation
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Plane Mirror Reflections
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Refraction and Critical Angles
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Refraction Through a Circular Disk
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Refraction Through a Glass Plate
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Refraction Through a Triangle
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Snell's Law Calculations
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Paul G. Hewitt
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