Question

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.

Answer 1

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

`\begin{gathered} \angle YZA=90^(\circ) \\ \angle YZX=90^(\circ) \\ \angle XYZ\cong\angle AYZ \end{gathered}`

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

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