Question

jillian wants to construct a circle which passes through all the vertices of the acute, scalene triangle qrs. she plans to construct the altitudes of the triangle from q and from r, and label their intersection point p. she will then use a compass to draw a circle centered at p and passing through q. which part of jillians plan requires revision? a. jillian should have used the compass to draw a circle through point s instead of point q. b. jillian should have found the intersection of two perpendicular bisectors of triangle qrs instead of two altitudes. c. jillian should have constructed all three altitudes instead of only constructing two altitudes. d. jillian should have found the intersection of two angle bisectors of triangle qrs instead of two altitudes.

Explanation:

To construct a circum - circle (a circle passing through all vertices of a triangle), one needs to find the circum - center. The circum - center is the intersection point of the perpendicular bisectors of the sides of the triangle, not the altitudes or angle bisectors.

Answer:

B. Jillian should have found the intersection of two perpendicular bisectors of triangle QRS instead of two altitudes.