# Warm-Up - PowerPoint PPT Presentation

Title:

## Warm-Up

Description:

### Warm-Up Use the figure below for Exercises 1 4. 1. If UV = 13, find RT. 2. If ST = 20, find UW. 26 10 34 in. 6 ANSWER ANSWER ANSWER ANSWER 4. If VW = 2x 4, and ... – PowerPoint PPT presentation

Number of Views:229
Avg rating:3.0/5.0
Slides: 17
Provided by: vhu58
Category:
Tags:
Transcript and Presenter's Notes

Title: Warm-Up

1
Warm-Up
1. If UV 13, find RT.
2. If ST 20, find UW.
4. If VW 2x 4, and RS 3x 3, what is
VW?
5. Place a rectangle in a coordinate plane so
its vertical side has length a and its
horizontal side has width 2a. Label the
coordinates of each vertex.
2
Warm-Up
3
Perpendicular Bisector
• A segment, ray, line or plane that is
perpendicular to a segment at its midpoint is
called a perpendicular bisector.
• A point is equidistant from two figures if the
point is the same distance from each figure.

4
Theorems to remember
• In a plane, if a point is on the perpendicular
bisector of a segment, then it is equidistant
from the endpoints of the segment.
• Converse In a plane, if a point is equidistant
from the endpoints of a segment, then it is on
the perpendicular bisector of the segment.

5
EXAMPLE 1
Use the Perpendicular Bisector Theorem
ALGEBRA
Perpendicular Bisector Theorem
Substitute.
Solve for x.
6
EXAMPLE 2
Use perpendicular bisectors
b.
7
for Examples 1 and 2
GUIDED PRACTICE
8
for Examples 1 and 2
GUIDED PRACTICE
9
Concurrency
• When three of more lines, rays, or segments
intersect in the same point, they are called
concurrent.
• The point of intersection of the lines, rays, or
segments is called the point of concurrency.

10
Concurrency of Perpendicular Bisectors of a
Triangle
• The perpendicular bisectors of a triangle
intersect at a point that is equidistant from the
vertices of the triangle.

11
Circumcenter
• The point of concurrency of the three
perpendicular bisectors of a triangle is called
the circumcenter of the triangle
• Circumscribed Circle

12
EXAMPLE 3
Use the concurrency of perpendicular bisectors
FROZEN YOGURT
Find a location for the distributor that is
equidistant from the three carts.
13
EXAMPLE 3
Use the concurrency of perpendicular bisectors
14
for Example 3
GUIDED PRACTICE
15
Warm-Up
In Exercises 1 and 2, find AB.
16
Daily Homework Quiz