What is the first step in constructing a circumscribed circle around triangle XYZ? Construct a line parallel to segment YZ. Construct the perpendicular bisector of segment XY. Construct a copy of angle X. Construct the angle bisector of angle Y.

Respuesta :

Answer:

Construct the perpendicular bisector of segment XY

Step-by-step explanation:

I am pretty sure this is the answer. I assume you r taking flvs just like me. I think this is the answer because to construct a circumscribed circle u will need to draw a perpendicular bisector to the sides of the polygon. Which o think is the first step.

The first step which is required to construct a circumscribed circle around a triangle is constructing a perpendicular bisector of segment XY.

What is circumscribed circle around a triangle?

A circumscribed circle or a circumcircle of a triangle is a circle that passes through all the vertices of a triangle.

According to the given question

We have a triangle XYZ

Now, the steps which are required to construct a circumcircle around a triangle are :

  • A construct a triangle of given dimensions.
  • Name the triangle XYZ
  • Draw a perpendicular bisector of XY.
  • Draw a perpendicular bisector of YZ. The point of intersection is circumcenter. Name it as O.
  • With O as center and OX as a radius, draw a circle.
  • The circle passes through X, Y, And Z is the circumcircle of triangle XYZ.

Hence, the first step which is required to construct a circumscribed circle around a triangle is constructing a perpendicular bisector of segment XY.

Learn more about circumscribed circle here:

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