Chapter 14: Q12. (page 575)

$▵ X Y Z$ is isosceles with $\bar{X Y} ≅ \bar{X Z}$ . Describe a way of mapping each point of $\bar{X Y}$ to a point of $\bar{X Z}$ so that the mapping is an isometry.

Short Answer

Expert verified

The mapping of each point of $\bar{X Y}$ to a point of $\bar{X Z}$ .

Step by step solution

Step 1. Given Information.

It is given that $Δ X Y Z$ is isosceles with $\bar{X Y} ≅ \bar{X Z}$ is the mapping of an isometry.

Step 2. Explanation.

Draw a point $A$ on sides $\bar{X Y}$ and $A'$ on $\bar{X Z}$ they will be similar from both points X to same on sides

From the figure, $Δ X Y Z$ is isosceles. So,

$\bar{X Y} ≅ \bar{Y Z} ≅ \bar{X Z}$

Step 3. Conclusion.

Therefore, the mapping of each point of $\bar{X Y}$ to a point of $\bar{X Z}$ is the mapping of an isometry.

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$▵ X Y Z$ is isosceles with $\bar{X Y} ≅ \bar{X Z}$ . Describe a way of mapping each point of $\bar{X Y}$ to a point of $\bar{X Z}$ so that the mapping is an isometry.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

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▵XYZis isosceles with XY¯≅XZ¯. Describe a way of mapping each point of XY¯ to a point of XZ¯ so that the mapping is an isometry.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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$▵ X Y Z$ is isosceles with $\bar{X Y} ≅ \bar{X Z}$ . Describe a way of mapping each point of $\bar{X Y}$ to a point of $\bar{X Z}$ so that the mapping is an isometry.