# 5.7: Study Guide

**At Grade**Created by: CK-12

Keywords: Define, write theorems, and/or draw a diagram for each word below.

**\begin{align*}1^{st}\end{align*} 1st Section: Midsegments**

Midsegment

Midsegment Theorem

**Homework:**

**\begin{align*}2^{nd}\end{align*} 2nd Section: Perpendicular Bisectors and Angle Bisectors in Triangles**

Perpendicular Bisector Theorem

Perpendicular Bisector Theorem Converse

Inscribe (use the triangle)

Circumscribe (use the triangle)

Angle Bisector Theorem

Angle Bisector Theorem Converse

**Homework:**

**\begin{align*}3^{rd}\end{align*} 3rd Section: Medians and Altitudes in Triangles**

Median

Centroid

Median Theorem

Altitude

**Homework:**

**\begin{align*}4^{th}\end{align*} 4th Section: Inequalities in Triangles**

Theorem 5-9

Converse of Theorem 5-9

Triangle Inequality Theorem

SAS Inequality Theorem

SSS Inequality Theorem

**Homework:**

**Extension: Indirect Proof**

**Homework:**

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