# Geometry

## Tools of Geometry

Points Lines & Planes in Geometry

More Postulates & Theorems Points, Lines, & Planes

Segment, Ray, Distance on a Number Line

## Introduction to Angles

Basic Constructions Segment & Angle

Angle and Segment Bisector Constructions

## Distance, Pythagorean Theorem, Midpoint, Perimeter and Area of a Plane Region

Distance Formula & Pythagorean Theorem

## Reasoning and Proofs

Deductive Reasoning If Then Statements

Intro to 2 Column Geometry Proofs

## Lines and Angles

Parallel Lines & Skew Lines, Angles formed by a Transversal

Parallel Lines & Transversal Angles.mov

Parallel & Perpendicular Lines Proof

Angles of Triangles and Parallel Lines

## Equations of Lines

Graphing Lines in Slope-Intercept form y=mx+b

Rate of Change Slope & Point Slope Equation of Lines

Equations of Lines and Graphing

Equations of parallel and perpendicular lines

## Congruent Triangles

Congruent Polygons & Third Angle Theorem

Non Congruence Theorems AAA SSA

CPCTC Corresponding Parts of Congruent Triangles are Congruent

Isosceles & Equilateral Triangle Properties

Equilateral Equiangular Triangles

Congruent Right Triangles HL Hypotenuse Leg Theorem.mov

## Relationships Within Triangles

Perpendicular Bisector Theorem

Triangle Perpendicular Bisectors & Circumcenter

Triangle Angle Bisectors & Incenter

Medians of Triangles & Centroid

Altitudes of Triangles and Orthocenter

Hinge Theorem Inequalities 2 Triangles

## Polygons and Quadrilaterals

Proving Quadrilaterals are Parallelograms

Rhombuses, Rectangles, and Squares

More Examples Rhombus & Rectangle

Properties of Trapezoids & Mid Segment Theorem

## Similarity

Proving Triangles are Similar AA SAS SSS

Side Splitter Theorem Proportions in Triangles

Proportions in Triangles Angle Bisector

## Right Triangles and Trigonometry

Converse Pythagorean Theorem & Triples

Special Right Triangles 45-45-90 30-60-90

Right Triangle Trigonometry Part 1

Right Triangle Trigonometry Part 2

Angle of Elevation and Depression Right Triangle Trig

## Finding Area

Area Parallelograms and Triangles

Area of Regular Polygon Introduction with Hexagon Examples

Area Regular Polygons with Trigonometry

Perimeter and Area of Similar Figures

## Circles: Intro, Arc Length, Sector and Segment Area

Sector and Segment Area in Circles

Segment Area in Circles Quicker Methods

Geometric Probabilities Length

## Finding Surface Area

Surface Area of a Regular Pyramid Non-Trig Examples

Surface Area of a Pyramid with Trigonometry

## Finding Volume

Volume of a Prism & Volume of a Cylinder

Volume of a Pyramid 3 Examples

Surface Area of a Sphere & Volume of a Sphere

## Circles: Tangents, Chords, Secants, Arcs, Angles, Segments

Given a Tangent Line & Circle Find the Point of Tangency

Chords Arcs and Diameters in Circle

Inscribed Angles in Circles and Tangent Lines

Angles in Circles Chords Secants Tangents and Arcs

Segments Lengths in Circles with Chords, Secants, and Tangents