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Chapter 14: Q12. (page 575)

鈻�XYZis isosceles with XY炉鈮�XZ炉. Describe a way of mapping each point of XY炉 to a point of XZ炉 so that the mapping is an isometry.

Short Answer

Expert verified

The mapping of each point of XY炉 to a point of XZ炉.

Step by step solution

01

Step 1. Given Information.

It is given that 螖XYZ is isosceles with XY炉鈮�XZ炉 is the mapping of an isometry.

02

Step 2. Explanation.

Draw a point Aon sides XY炉and A'on XZ炉they will be similar from both points X to same on sides

From the figure, 螖XYZ is isosceles. So,

XY炉鈮�YZ炉鈮�XZ炉

03

Step 3. Conclusion.

Therefore, the mapping of each point of XY炉 to a point of XZ炉 is the mapping of an isometry.

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