# 5.7: Chapter 5 Review

Difficulty Level:

**At Grade**Created by: CK-12
**Keywords, Theorems and Postulates**

- Midsegment
- Midsegment Theorem
- Perpendicular Bisector Theorem
- Perpendicular Bisector Theorem Converse
- Point of Concurrency
- Circumcenter
- Concurrency of Perpendicular Bisectors Theorem
- Angle Bisector Theorem
- Angle Bisector Theorem Converse
- Incenter
- Concurrency of Angle Bisectors Theorem
- Median
- Centroid
- Concurrency of Medians Theorem
- Altitude
- Orthocenter
- Theorem 5-9
- Converse of Theorem 5-9
- Triangle Inequality Theorem
- SAS Inequality Theorem
- SSS Inequality Theorem
- Indirect Proof

## Review

If

- The perpendicular bisector of
FD¯¯¯¯¯¯¯¯ . - The median of
FD¯¯¯¯¯¯¯¯ . - The angle bisector of
∠FAD . - A midsegment.
- An altitude.
- Trace
△FAD onto a piece of paper with the perpendicular bisector. Construct another perpendicular bisector. What is the point of concurrency called? Use this information to draw the appropriate circle. - Trace
△FAD onto a piece of paper with the angle bisector. Construct another angle bisector. What is the point of concurrency called? Use this information to draw the appropriate circle. - Trace
△FAD onto a piece of paper with the median. Construct another median. What is the point of concurrency called? What are its properties? - Trace
△FAD onto a piece of paper with the altitude. Construct another altitude. What is the point of concurrency called? Which points of concurrency can lie outside a triangle? - A triangle has sides with length
x+6 and2x−1 . Find the range of the third side.

## Texas Instruments Resources

*In the CK-12 Texas Instruments Geometry FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9690.*

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altitudes
angle bisector
angle bisectors
(17 more)
CK.MAT.ENG.SE.1.Geometry-Basic.5
CK.MAT.ENG.SE.2.Geometry.5
concurrency
indirect proof
inscribe
medians
mid-segment
Midsegment Theorem
midsegments
perpendicular bisector
perpendicular bisectors
proof
Segments
sides of triangles
triangle inequalities
Triangle Inequality Theorem
triangles

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Date Created:

Jul 24, 2013
Last Modified:

Sep 21, 2015
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