# 4.7: 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: Triangle Sums**

Interior Angles

Vertex

Triangle Sum Theorem

Exterior Angle Exterior Angle Sum Theorem

Remote Interior Angles

Exterior Angle Theorem

**Homework:**

**\begin{align*}2^{nd}\end{align*} 2nd Section: Congruent Figures**

Congruent Triangles

Congruence Statements

Third Angle Theorem

Reflexive Property of Congruence

Symmetric Property of Congruence

Transitive Property of Congruence

**Homework:**

**\begin{align*}3^{rd}\end{align*} 3rd Section: Triangle Congruence using SSS and SAS**

Side-Side-Side (SSS) Triangle Congruence Postulate

Included Angle

Side-Angle-Side (SAS) Triangle Congruence Postulate

Distance Formula

**Homework:**

**\begin{align*}4^{th}\end{align*} 4th Section: Triangle Congruence using ASA, AAS, and HL**

Angle-Side-Angle (ASA) Congruence Postulate

Angle-Angle-Side (AAS) Congruence Theorem

Hypotenuse

Legs (of a right triangle)

HL Congruence Theorem

**Homework:**

**\begin{align*}5^{th}\end{align*} 5th Section: Isosceles and Equilateral Triangles**

Base

Base Angles

Vertex Angle

Legs (of an isosceles triangle)

Base Angles Theorem

Isosceles Triangle Theorem

Base Angles Theorem Converse

Isosceles Triangle Theorem Converse

Equilateral Triangle Theorem

**Homework:**