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4.7: Study Guide

Difficulty Level: 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:

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CK.MAT.ENG.SE.1.Geometry-Basic.4.7