WarmUp 1 Exercises EXAMPLE Use the Perpendicular Bisector

Warm-Up 1 Exercises EXAMPLE Use the Perpendicular Bisector Theorem ALGEBRA BD is the perpendicular bisector of AC. Find AD. AD = CD 5 x = 3 x + 14 x=7 AD = 5 x = 5(7) = 35. Perpendicular Bisector Theorem Substitute. Solve for x.

Warm-Up Exercises GUIDED PRACTICE for Examples 1 and 2 In the diagram, JK is the perpendicular bisector of NL. 2. Find NK. ANSWER 13

Warm-Up 3 Exercises EXAMPLE Use the concurrency of perpendicular bisectors FROZEN YOGURT Three snack carts sell frozen yogurt from points A, B, and C outside a city. Each of the three carts is the same distance from the frozen yogurt distributor. Find a location for the distributor that is equidistant from the three carts.

Warm-Up 3 Exercises EXAMPLE Use the concurrency of perpendicular bisectors SOLUTION The Concurrency of Perpendicular Bisectors of a Triangle Theorem shows you that you can find a point equidistant from three points by using the perpendicular bisectors of the triangle formed by those points. Copy the positions of points A, B, and C and connect those points to draw ABC. Then use a ruler and protractor to draw the three perpendicular bisectors of ABC. The point of concurrency D is the location of the distributor.

Warm-Up Exercises Daily Homework Quiz In Exercises 1 and 2, find AB. 1. ANSWER 25

Warm-Up Exercises Daily Homework Quiz 2. ANSWER 24. 5

Warm-Up Exercises Daily Homework Quiz 3. In this diagram, the perpendicular bisectors of ABC meet at point G. Find EC and GC. ANSWER 5; 7