josephine is constructing a circle circumscribed about triangle xyz. she uses the following sequence of…

josephine is constructing a circle circumscribed about triangle xyz. she uses the following sequence of steps to construct the circle. 1. she constructs the perpendicular bisectors of two sides. 2. she finds their point of intersection, p. 3. she uses a compass, with the fixed end on x, to draw a circle passing through point p. did josephine make any errors while constructing the circle? a. yes, she should have constructed the angle bisectors. b. yes, she should have found the perpendicular bisectors of all 3 sides. c. yes, she should have placed the compass with the fixed end on p and drawn a circle through point x. d. no, she did not make any errors.

josephine is constructing a circle circumscribed about triangle xyz. she uses the following sequence of steps to construct the circle. 1. she constructs the perpendicular bisectors of two sides. 2. she finds their point of intersection, p. 3. she uses a compass, with the fixed end on x, to draw a circle passing through point p. did josephine make any errors while constructing the circle? a. yes, she should have constructed the angle bisectors. b. yes, she should have found the perpendicular bisectors of all 3 sides. c. yes, she should have placed the compass with the fixed end on p and drawn a circle through point x. d. no, she did not make any errors.

Answer

Brief Explanations:

To construct a circle circum - scribed about a triangle, we first find the circum - center. The circum - center is the point of intersection of the perpendicular bisectors of the sides of the triangle. Once we find the circum - center (point P in this case), we place the fixed end of the compass on the circum - center (P) and draw a circle through any of the vertices of the triangle (like X). Josephine placed the fixed end of the compass on X instead of P.

Answer:

C. Yes, she should have placed the compass with the fixed end on P and drawn a circle through point X.