Consider the three points A = (-2, 1), B = (-4, 1), and C = (-4, -3). Find the length of each
side of the triangle determined by the three points A, B, and C. State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An isosceles triangle is one in which at least two of the sides are of equal length.)
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Answer:
This box of optical tricks was inspired by a small glass maze in the Pike, an amusement park for sailors behind the port of Long Beach, California.
GLASS MAZE
A crowded street. Bordering it, the zigzag stone wall of a building. The wall has no windows and seems very strong, but the building is only one storey high.
You hear music and voices from within. The middle of the wall seems to dissolve into a confusing web of glass. It consists of pillars, windows, and mirrors.
The pillars are fluted with glass fragments. The windows are floor-to-ceiling sheets of glass. The mirrors also reach from floor to ceiling and are double-sided.
As you approach along the street, you see a mirror standing forward. In front of it is placed a great flame, masked from you by a black shield. The light therefore shows itself to you around the edge of the shield like the sun in eclipse; but shines at you directly out of the mirror. A similar mirror faces people approaching the other way along the street.
Reaching a certain point, you see along a diagonal passage to a box office, with a box office attendant in it, set back behind a pillared entrance area.
Standing in the street or in the entrance area, you can see your own reflection and the reflections of others in the street, and through two windows you can see directly into the building. You glimpse fractions of drifting crowds, some dancing, but you cannot tell what you are looking at. In fact, through one window you are looking clear across the building to its farthest limit.
Through the other, you are looking back at yourself and the others in the street.