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In the figure below, ZYZA and _YZX are right angles and _XYZ and ZAYZ arecongruent. Which of the following can be concluded about the distance frompoint A from point Z using Thales's method?O A. The distance between points A and Z is the same as the distancebetween points X and Z.B. The distance between points A and Z is the same as the distancebetween points A and Y.O C. The distance between points A and Z is the same as the distancebetween points Yand Z.D. The distance between points A and Z is the same as the distancebetween points X and Y.

In the figure below ZYZA and YZX are right angles and XYZ and ZAYZ arecongruent Which of the following can be concluded about the distance frompoint A from poin class=

Respuesta :

Let's begin by identifying key information given to us:

[tex]\begin{gathered} \angle YZA=90^{\circ} \\ \angle YZX=90^{\circ} \\ \angle XYZ\cong\angle AYZ \end{gathered}[/tex]

Thale's method shows that angles in a triangle opposite two sides of equal length are equal

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As such, the answer is A (The distance between points A and Z is the same as the distance between X and Z)

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