# 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 and are the midpoints of the sides they lie on, find:

- The perpendicular bisector of .
- The median of .
- The angle bisector of .
- A midsegment.
- An altitude.
- Trace 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 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 onto a piece of paper with the median. Construct another median. What is the point of concurrency called? What are its properties?
- Trace 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 and . 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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CK.MAT.ENG.SE.1.Geometry-Basic.5
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inscribe
medians
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Segments
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triangle inequalities
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indirect proof
altitudes
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inscribe
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Triangle Inequality Theorem
Midsegment Theorem
perpendicular bisectors
concurrency
sides of triangles
angle bisectors
midsegments
CK.MAT.ENG.SE.2.Geometry.5

## Date Created:

Jul 24, 2013## Last Modified:

Sep 21, 2015
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