Point a is the incenter of triangle def. which must be true? check all that apply. point a is the center of the circle that passes through points d, e, and f. point a is the center of the circle that passes through points x, y, and z. aex aez zea zfa

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Answer:

B C E

Step-by-step explanation:

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The incenter of a triangle is the center of the triangle

The true statements are:

  • Point A is the center of the circle that passes through points X, Y, and Z.
  • ZA≅YA  
  • AX≅AY

From the diagram (see attachment), we have the following observations.

The lines from points X, Y and Z to point A are perpendicular to lines DX, DY and EF.

This mean that, point A is the center of a circle that passes through points X, Y and Z.

Hence, (b) is true

Also it means  that:

[tex]\mathbf{AX \cong AY \cong AZ}[/tex] --- the radius of the circle.

Hence, (c) and (e) are true.

So, the true statements are: (b), (c) and (e)

Read more about incenters at:

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