Patrick is constructing the circumscribed circle for △RST. Which construction could be his first step? Construct the perpendicular bisector of ST¯¯¯¯¯ . Construct the angle bisector of ∠R . Construct a copy of ∠S that is adjacent to ∠R . Construct the angle bisector of ∠T .
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Option A
Step-by-step explanation:
All the vertices that are passed through a circle which is called circumscribed circle.
Therefore, all points of the circle, and the vertices must be all at the same distance of the center of the circle.
We call an equidistant point to those which lies on the perpendicular bisector from the end point of a line segment.
The circum circle has in its center a circum center which is made by the point of concurrence of the bisectors which are perpendicular.
Thus, it is needed to draw a perpendicular bisector in any side.
Hence, the first step for Patrick should be to construct the perpendicular bisector of ST.
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Answer: Construct the perpendicular bisector of ST
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