MATH SOLVE

2 months ago

Q:
# 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

Accepted Solution

A:

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.

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.