Question

plot 2 points, a and b, which stay in the same place when they are reflected over $ell$. plot 2 other points, c and d, which move when they are reflected over $ell$. (from unit 1, lesson 11.) 6. here are 3 points in the plane. select all the straightedge and compass constructions needed to locate the point that is the same distance from all 3 points. a. construct the bisector of angle cab. b. construct the bisector of angle cba. c. construct the perpendicular bisector of bc. d. construct the perpendicular bisector of ab. e. construct a line perpendicular to ab through point c. f. construct a line perpendicular to bc through point a. (from unit 1, lesson 9.)

Explanation:

The point that is equidistant from three non - collinear points in a plane is the circum - center of the triangle formed by those three points. The circum - center is the intersection of the perpendicular bisectors of the sides of the triangle. So, to locate the point that is the same distance from points A, B, and C, we need to construct the perpendicular bisectors of the sides of the triangle.

Answer:

C. Construct the perpendicular bisector of BC.
D. Construct the perpendicular bisector of AB.