Trey takes the angle shown, places the point of his compass on S, and Draws an arc with an arbitrary radius intersecting the rays of the angle at P and R. Trey claims that as long as he draws two more arcs by placing the needle of his compass on P and then on R, drawing a ray from S through the point at which the arcs intersect, he will be able to bisect Angle S. Is try correct? answer options are: A) Trey is not necessarily correct. He will need to ensure that the distance from S to P and the distance from S to R are equal. B) Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R. C) Trey is correct. Since the initial arc was drawn with the point of the compass on S, RS=PS. D) Trey is correct. Since the compass is placed on the points P and R to draw the remaining two arcs, the ray drawn through their intersection will bisect the angle.
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
Trey takes the
answer options are:
A) Trey is not necessarily correct. He will need to ensure that the distance from S to P and the distance from S to R are equal.
B) Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R.
C) Trey is correct. Since the initial arc was drawn with the point of the compass on S, RS=PS.
D) Trey is correct. Since the compass is placed on the points P and R to draw the remaining two arcs, the ray drawn through their intersection will bisect the angle.
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