GEOMETRY Unit 4 (Chapter 4/5) – Congruent Triangles and Δ Inequalities

# DATE TOPIC OBJECTIVES The student will be able to…

SUM 20 In this lesson I learned…

1 11/7 11/10

4.1 Apply Triangle Sum Properties

- classify triangles by their sides and angles. - find interior and exterior angle measures in triangles. - use properties of isosceles and equilateral triangles.

2 11/11 11/12

5.5 Use Inequalities in a Triangle

- order side lengths given angle measures and order angle measures given side lengths. - determine whether a triangle can be formed given three segment lengths. - determine the range for a possible third side length given two side lengths.

3 11/13 11/14

QUIZ 4.1,5.5 4.2 Apply Congruence and Triangles

- identify congruent figures and corresponding parts.

4 11/17 11/18

4.3-4.5 Prove Triangles are Congruent by SSS, SAS, ASA, AAS, and HL

- use a limited amount of information about side lengths and angle measures to prove triangles are congruent. - use coordinate methods, such as distance and slope to prove triangles are congruent. - use algebraic methods to prove triangles are congruent.

5 11/19 11/20

4.3-4.5 Prove Triangles Congruent by SSS, SAS, ASA, AAS, and HL

- use coordinate methods, such as distance and slope to prove triangles are congruent. - use algebraic methods to prove triangles are congruent.

6 11/21 11/24

4.6 Use Congruent Triangles

- use congruent triangles to prove that corresponding parts are congruent.

7 11/25

12/1 Proofs - use definitions, postulates,

and theorems to prove triangles are congruent.

8 12/2 12/3

Review for Test

- demonstrate understanding of triangle inequalities and congruent triangles.

9 12/4 12/5

TEST Chapter 4 - demonstrate understanding of triangle inequalities and congruent triangles.

Key Vocabulary for Unit 4 (Chapter 4/5):

Term Description/Picture Term Description/Picture Triangle Sum Theorem

Congruent Figures

Exterior Angle Theorem

Corresponding Parts

Acute Triangle

Congruence Statement

Obtuse Triangle

SSS Postulate

Right Triangle

SAS Postulate

Equiangular Triangle

HL Theorem

Scalene Triangle

ASA Postulate

Equilateral Triangle

AAS Theorem

Isosceles Triangle

Proof

Base Angles Theorem

Reflexive Property of Congruence

Symmetric Property of Congruence

Transitive Property of Congruence