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Beth is constructing the circumscribed circle for △ABC.



Which construction could be her first step?


Construct the perpendicular bisector of AC¯¯¯¯¯ .

Construct the angle bisector of ∠C .

Construct a copy of ∠A that is adjacent to ∠B .

Construct the angle bisector of ∠B .

Beth is constructing the circumscribed circle for △ABC. Which construction could be her first step? Construct the perpendicular bisector of AC¯¯¯¯¯ . Construct class=

Answer :

NewJack931
The correct answer on K12 Quiz is


Construct the perpendicular bisector of AC¯¯¯¯¯ .
aksnkj

Beth's first step is option A. Construct the perpendicular bisector of AC.

Given,

Beth is constructing the circumscribed circle for △ABC.

We have to find the first step of Beth for constructing the circumscribed circle for △ABC.

Circumcenter:

The circumcenter is the center of a triangle's circumcircle.

It can be found as the intersection of the perpendicular bisectors or We know that the circumcenter of triangle always passes through the point, where the perpendicular bisector of any two sides of that triangle passes.

Since here all the options except option A has started to draw the angle bisector

so these options are false in case to draw the circumscribed circle △ABC.

So, the first step of Beth to draw the circumscribed circle for △ABC is to Construct the perpendicular bisector of  side AC.

Hence Beth's first step is option A. Construct the perpendicular bisector of AC.

For more details on circumcircle of triangle follow the link:

https://brainly.com/question/4424318

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