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## Transcript

Geometry Topic 16 Map

Lesson 1

Isosceles Triangles

Explore properties of isosceles triangles and use them to find missing angles and side lengths (numeric and algebraic)

Lesson 2

Use SSS and SAS Theorems to determine or prove congruence

Lesson 3

Use ASA and AAS Theorems to determine or prove congruence

Lesson 4

Use all four congruence theorems to write formal proofs of congruent triangles

Lesson 5

Spotlight on ACT questions using properties of congruent triangles

+ knowledge check

+ knowledge check

+ knowledge check

+ knowledge check

+ knowledge check

Side-Side-SideSide-Angle-Side

Angle-Side-AngleAngle-Angle-Side

Proving Congruence Mixed

ACT Spotlight

Essential Question: How do we know when two triangles are congruent? How can we prove congruence?

OAS Standard(s) Covered: G.2D.1.9 Construct logical arguments to prove triangle congruence (SSS, SAS, ASA, AAS and HL).

Informal Knowledge Check Post-Lesson: How can you determine which angles are the vertex angle and base angles of an isosceles triangle?

Informal Knowledge Check Post-Lesson: What is the difference in the information required to use SSS or SAS?

Informal Knowledge Check Post-Lesson: If both AAS and ASA require two angles and one side, how are they different?

Informal Knowledge Check Post-Lesson: When you write a proof, what kind of angles can you call congruent without having the information given?

Informal Knowledge Check Post-Lesson: What does the squiggle over an equal sign mean? What does ABC = DEF tell us (try to list all six things)?