Segments Angles Triangles Outline - MathBitsNotebook (Geo)

Segments, Angles and Triangles

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indicates compatibility to NY Next Generation Math Standards (NGMS)

LESSONS:

* calculator link

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Segments (Refresh - definition, Ruler Postulate, Segment Add Postulate, midpt, bisector, perp.bis.)

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Segments in Triangles (medians, altitudes, angle bisectors, perpendicular bisectors)

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Mid-Segments in Triangles (definition, examples, proofs of theorem)

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All About Angles (Refresh, definition, angle names, types of angles)

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Pairs of Angles (Refresh, adjacent, linear pair, vertical, comp, supp, theorems)

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Working with Angles (Refresh, Angle Add Postulate, bisect ∠, ∠s about pt, ∠s on a line)

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In Depth with Vertical Angles (definition, examples, proofs of theorem)

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Sum of Interior Angles in a Triangle (examples, cut-up, various methods of proof)

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Exterior Angles in a Triangle (definition, examples, proof of theorem)

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Types of Triangles (Refresh, classified by angles, classified by sides)

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Isosceles Triangles (definition, theorems, proofs of theorem, examples)

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Triangle Inequality ("in one triangle", theorems, examples)

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Hinge Theorem ("triangle inequaltiy in two triangles", theorems, examples)

PRACTICE:
•	Practice with Segments
•	Practice with Segments in Triangles
•	Practice with MidSegments

•	Practice with Angles

•	Practice with Angles in Triangles
•	Practice with Isosceles Triangles

•	Practice with Triangle Inequality
•	Practice with Hinge Theorem

•	Pre-Proof Reasoning
•	Practice with Proofs (using concepts from this unit)