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Chapter 14: Q8. (page 574)

Does the polar map preserve or distort distance?

Short Answer

Expert verified

The polar maps gets distorted distances.

Step by step solution

01

Step 1. Given Information.

The given image of the globe is:

02

Step 2. Explanation.

The globe is converted to a flat map or plane it means that the 3 dimensional is converted to a 2 dimensional shape. The map gets distorted due to which the distance appear to be longer on map than on the globe.

03

Step 3. Conclusion.

Therefore, the polar map does not preserve distances, so they can easily get distorted.

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Most popular questions from this chapter

The red and blue squares are congruent and have the same center O. A mapping maps each point P of the red squares to the point P' where OP鈫� intersects the blue squares.

  1. Is the mapping a one-to-one?
  2. Copy the diagram and locate a point X that is its own image.
  3. Locate two points R and S on the red squares and their images R' and S' on the blue squares that have the property that RS鈮�R'S'.
  4. Does the mapping preserve distance?
  5. Describe a mapping from the red square onto the blue square that does preserve distance.

Mapping M maps points A and B to the same image point. Explain why the mapping M does not preserve distance.

Explain how Corollary I follows from Theorem 14-1.

If function g:x鈫�8-3x, find the image of 5 and the pre image of 0.

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