Girl in the Mirror
Example to explore the question "How large does a mirror need to be to see your full body?" This problem can be used in connection with similar triangles.
Ann is 5 feet tall. She wants to hang a mirror so that when she stands 5 feet away from it she can see herself from her toes on the floor to the top of her head (6 inches above her eyes. How tall is the shortest mirror that she needs? Hint: Use the reflection tool. First reflect Ann about the line of the mirror. Then construct the segments from her eyes to the top of her head and the bottom of her feet. The mirror reflects the light from her head and feet to make it look like they are their “mirror image” behind the mirror. Does this fact let you prove that the “angle of incidence” (between the line from the eye to the mirror and the line of the mirror) is congruent to the “angle of reflection” (between the line from the foot to the mirror and the line of the mirror)?
Reflection and Refraction
Explore the reflection and refraction of light.
Inclined Plane with Two Masses and a Pulley
This is a simulation showing two objects attached to each other with a massless string that passes over a pulley. One mass is on a frictionless surface. The angle of incline of this surface can be varied from zero degrees (horizontal surface) to ninety degrees where the device acts like an Atwood's machine.
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