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5.6: Chapter 5 Review

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Keywords, Theorems and Postulates

Midsegments in Triangles

• Midsegment
• Midsegment Theorem

Perpendicular Bisectors and Angle Bisectors in Triangles

• Perpendicular Bisector Theorem
• Perpendicular Bisector Theorem Converse
• Inscribe
• Circumscribe
• Angle Bisector Theorem
• Angle Bisector Theorem Converse

Medians and Altitudes in Triangles

• Median
• Centroid
• Median Theorem
• Altitude

Inequalities in Triangles

• Theorem 5-9
• Converse of Theorem 5-9
• Triangle Inequality Theorem
• SAS Inequality Theorem
• SSS Inequality Theorem

Extension: Indirect Proof

Review

If $C$ and $E$ are the midpoints of the sides they lie on, find:

1. The perpendicular bisector of $\overline{FD}$.
2. The median of $\overline{FD}$.
3. The angle bisector of $\angle FAD$.
4. A midsegment.
5. An altitude.
6. A triangle has sides with length $x + 6$ and $2x - 1$. Find the range of the third side.

Fill in the blanks.

1. A midsegment connects the __________ of two sides of a triangle.
2. The height of a triangle is also called the __________.
3. The point of intersection for all the medians of a triangle is the __________.
4. The longest side is opposite the __________ angle in a triangle.
5. A point on the __________ bisector is __________ to the endpoints.
6. A point on the __________ bisector is __________ to the sides.
7. A circle is __________ when it touches all the sides of a triangle.
8. An __________ proof is also called a proof by contradiction.
9. For $\triangle ABC$ and $\triangle DEF: \ AB = DE, \ BC = EF$, and $m \angle B > m \angle E$, then __________.

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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Date Created:

Feb 22, 2012

Aug 21, 2014
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