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Chapter 14: Q13. (page 575)

ABCDis a trapezoid. Describe a way of mapping each point of DC炉 to a point of AB炉 so that the mapping is one-to-one. Is your mapping an isometry?

Short Answer

Expert verified

The mapping is one-to-one mapping and it is not isometry.

Step by step solution

01

Step 1. Given Information.

It is given that ABCD is trapezoid.

02

Step 2. Explanation.

It is given that ABCD is trapezoid and each point of DC is mapped by using similar parallel measurements to the side AD.Then the mapping is one-to-one mapping.

No, the mapping will not be isometry because the distance between the pre images, AandB is larger than the distance between their corresponding images, DandC.

03

Step 3. Conclusion.

Therefore, the mapping is one-to-one mapping and it is not isometry.

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