Where should the Royal Farms be placed?

Problem 1: Location of Royal Farms

Facilities Planners often must use geometric constructions to identify the location of a place that is of equal distance from 3 other points.[br][br]For example, the 3 points represent Eleanor Roosevelt HS (Point A), Parkdale HS (Point B), and DuVal HS (Point C). Royal Farms would like to place a store that is equal distance from the 3 schools. Where should the store be placed?

Map of 3 PG County High Schools

What are the points D, E, and F called?

Endpoint Perpendicular Bisector Circumcenter Midpoint

Problem 2: Stage Lighting

The most recent presidential town hall with Joe Biden had 3 people on stage. Joe Biden (point A), Anderson Cooper (point B) and a citizen from the town of Scranton, PA (point C). [br][br]Where should the production director place the stage light so that it will equally shine on all 3 people?

Location of 3 people on a Stage

What are properties of perpendicular bisectors?

The perpendicular bisector and the line segment forms perpendicular lines. The perpendicular bisector divides a line segment into 2 congruent parts. The perpendicular bisector and the line segment forms right angles. The perpendicular bisector intersects a line segment at its midpoint.

Construction Guide - Perpendicular Bisectors

Why is the distance of AG, BG, and CG all the same value?

Your Turn - Start by plotting 3 points anywhere in the plane. Then follow the steps in the Perpendicular Bisectors Construction Guide

In your own words, how would you define a line segment?