# Video Lessons

### From MHSHS Wiki

## Distance and Midpoint

- Review of Pythagorean Theorem
- Finding the distance between two numbers on a number line
- Deriving the distance formula
- Finding the lengths of line segments
- Deriving the midpoint of a line segment
- Deriving the midpoint of a line segment by Khan

## Points, Lines, Planes

## Angles and their measurements

- Angle types and how we measure them
- Angle Bisectors
- Angles and Their Measure Part I
- Angles and Their Measure Part II
- Vertical Angles Part I
- Vertical Angles Part II
- Angles (Obt, acute, vertical, complementary, supp)
- Linear Pair
- Ratios of the Angles in a Triangle

## Logic

- Logic: Identifying premises and conclusions
- Logic: Inductive reasoning - conjecture - truth value
- Logic: The Inverse of a conditional
- Logic: The Converse of a conditional
- Logic: The Contrapositive of a conditional

## Lines Cut by a Transversal

## Interior - Exterior angles of Triangles and Polygons

## Definitions of Medians Altitudes and bisectors

## Postulates & Properties for Proofs

- Partition, Addition, and Substitution Properties
- Partition, Subtraction, and Substitution Properties
- Review of SSS and SAS Postulates and ASA & AAS Theorems
- Hypotenuse-Leg Triangle Congruence Theorem
- Review of SSS SAS ASA AAS Congruence w/application
- Explanation of Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
- Using CPCTC in two-column proofs

## Linear Equations Refresher

- Intro to the Coordinate Plane & Solutions to Linear Equations
- Graphing Slope-Intercept Form of a Linear Equation
- Writing Slope-Intercept Equations
- Point-Slope Form of a Line
- Intro to Standard-Form of Linear Equations
- Converting from Standard to Slope-Intercept Form
- Slope and Parallel & Perpendicular Lines
- Slope of Horizontal & Vertical Lines

## Intro to Coordinate Proofs

## Proving Properties of a Parallelogram

- Prove: If a quadrilateral is a parallelogram, then both pairs of opposite sides are congruent
- Prove: If a quadrilateral is a parallelogram, then both pairs of opposite angles are congruent
- Prove: If a quadrilateral is a parallelogram, then consecutive angles are supplementary
- Prove: If a quadrilateral is a parallelogram, then the diagonals bisect each other

## Proving the Converse of the Properties of a Parallelogram

- Prove: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram (with a quick review on converse of a conditional!
- Prove: If both pairs of opposite anglesof a quadrilateral are congruent, then the quadrilateral is a parallelogram
- Prove: If consecutive angles of a quadrilateral are supplementary, then the quadrilateral is a parallelogram

## Proving a Quadrilateral is a Parallelogram

## Multiplying & Factoring Polynomials Review

- Multiplying Binomials
- Special Products of Binomials
- Factoring Polynomials by Taking Common Factors
- Factoring Quadratic Expressions
- Factoring Difference of Perfect Squares
- Solving Quadratic Equations by Factoring

## Trapezoids

## Transformation Geometry

- Introduction to Rigid Transformations & Translations
- Dilations Part I - Introduction & Finding the scale factor
- Dilations
- Reflecting Shapes Over a Line
- Reflecting Over a point
- Rotating a point about the origin
- Composition of Transformations Lesson 1
- Composition of Transformations Lesson 2

- Finding the Angle of Rotation When Reflecting over Intersecting Lines
- Understanding Line & Rotational Symmetry
- Understanding Point Symmetry

## Triangle Similarity

- Triangle Similarity Postulates: AA~, SAS~, SSS~
- Proving Triangles Similar - Example 1
- Proving Triangles Similar - Example 2
- Proving Triangles Similar - Example 3

## Radicals

## Geometric Mean and Similar Right Triangles

## Special Right Triangles

## Circles

- Intro to Circles
- Arc Measure
- Inscribed vs Central Angles in a Circle Part I
- Inscribed Angles in a Circle Part II
- Angles formed by two intersecting chords
- Circles and Tangent Lines
- Radius-Tangent Relationship
- Finding the measure of angles formed by intersecting lines
- Finding segment lengths