contestada

In the figure below, YZA and YZX are right angles and XYZ and AYZ are
congruent. Which of the following can be concluded about the distance from
point A from point Z using Thales's method?

In the figure below YZA and YZX are right angles and XYZ and AYZ are congruent Which of the following can be concluded about the distance from point A from poin class=

Respuesta :

Answer: C

Step-by-step explanation:

The distance between points A and Z is the same as the distance

between points X and Z.

The distance between points A and Z is same as the distance between X and Z.

What are congruent triangles?

"Two triangles are said to be congruent if and only if measure of corresponding sides and angles of one triangle is equal to other triangle."

Theorem used

Angle side Angle(ASA)

When two angles and included side of one triangle is congruent to two angles and included sides of other triangle then triangles are said to be congruent.

According to the question,

Given,

In ΔYZA and ΔYZX,

∠YZA ≅ ∠YZX          (each 90°)

∠XYZ ≅ ∠AYZ    

YZ ≅YZ                     (common side)

By ASA theorem  of triangles we get,

ΔYZA ≅ΔYZX

Therefore, distance between given points are congruent.

[tex]\bar{AZ} =\bar{XZ}[/tex]

Hence, Option(C) is the correct answer.

Learn more about congruent triangles here

https://brainly.com/question/12413243

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