Patrick is constructing the circumscribed circle for △RST.



Which construction could be his first step?

Construct the perpendicular bisector of ST¯¯¯¯¯ .

Construct a copy of ∠S that is adjacent to ∠R .

Construct the angle bisector of ∠T .

Construct the angle bisector of ∠R .
A scalene triangle R S T. Side T S is base.

Patrick is constructing the circumscribed circle for RST Which construction could be his first step Construct the perpendicular bisector of ST Construct a copy class=

Respuesta :

Just took the quiz. The correct answer is A

The circumscribed circle is a circle which passes through all the vertices of a triangle.

This means the center of the circle must be at the same distance from all the vertices.

A point equidistant from the end point of a line segment always lies on the perpendicular bisector.

Also the point of concurrence of the perpendicular bisectors of the sides of the triangle is the circum center which is the center of circum cirle.

Hence we must draw the perpendicular bisector of any one side.

So Patrick's first step should be to construct the perpendicular bisector of ST.

Option A is the right answer.