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Leon is constructing the circumscribed circle for △PQR . He constructed the perpendicular bisectors of PR¯¯¯¯¯ and QR¯¯¯¯¯ .

Which construction is a correct next step for Leon?


With the compass point on the intersection of the perpendicular bisectors, put the pencil point on point R and draw a circle.

With the compass point on point R, put the pencil on the intersection of the perpendicular bisectors and draw a circle.

Construct the angle bisector of angle R.

With the compass point on the intersection of the perpendicular bisectors, put the pencil point on the intersection of PR¯¯¯¯¯ and its perpendicular bisector and draw a circle.

i feel like its the last one but i dont know

Respuesta :

MrEquation
The first choice is the correct answer.

If you are trying to circumscribe a circle around a triangle, you first draw the perpendicular bisectors of the triangle.

Then, you draw a circle with the center at their intersection. The radius of the circle will go out to any of the vertices of the circle.

The option with the compass point on the intersection of the perpendicular bisectors, put the pencil point on point R and draw a circle.

We have given that,

Leon is constructing the circumscribed circle for △PQR

What is the definition of perpendicular bisector?

The perpendicular bisectors of a triangle are lines passing through the midpoint of each side which are perpendicular to the given side

If we  are trying to circumscribe a circle around a triangle, we first draw the perpendicular bisectors of the triangle.

Then, you draw a circle with the center at their intersection. The radius of the circle will go out to any of the vertices of the circle.

The option with the compass point on the intersection of the perpendicular bisectors, put the pencil point on point R and draw a circle is correct.

To learn more about the perpendicular bisector visit:

https://brainly.com/question/11006922

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