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4.7: Study Guide

Difficulty Level: At Grade Created by: CK-12
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Keywords: Define, write theorems, and/or draw a diagram for each word below.

1st Section: Triangle Sums

Interior Angles


Triangle Sum Theorem

Exterior Angle Exterior Angle Sum Theorem

Remote Interior Angles

Exterior Angle Theorem


2nd Section: Congruent Figures

Congruent Triangles

Congruence Statements

Third Angle Theorem

Reflexive Property of Congruence

Symmetric Property of Congruence

Transitive Property of Congruence


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


4th Section: Triangle Congruence using ASA, AAS, and HL

Angle-Side-Angle (ASA) Congruence Postulate

Angle-Angle-Side (AAS) Congruence Theorem


Legs (of a right triangle)

HL Congruence Theorem


5th Section: Isosceles and Equilateral Triangles


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


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