#### Geometry(all content)

### Course Description

### Lines

Lines, lines segment, and rays

Measuring segment

Parallel and Perpendicular

Points ,line ,&plans

Geometric definition

The golden ratio

### Angles

Angles introduction

Measuring angles

constructing angle

Angle in circle

Angle type

vertical ,complementary and supplementary angles

Angle between intersecting line

Sal’s old angle video

properties of shapes

Equal part of shapes

Classification geometric shapes

curve and polygons

Angle with polygon

Geometric solid (3D shapes)

### Quadrilaterals

Quadrilaterals types

Quadrilaterals proof and angles

### Coordinate plane

Coordinate plane : Quadrant 1

Coordinate plane : Quadrant 4

Quadrants on the coordinate plane

Reflecting points om coordinate

Quadrilaterals on the coordinate plane

Drawing polygons in the coordinate plane

### Area and perimeter

Count unit square to find area

Area of rectangle

Perimeter

Area of parallelograms

Area of triangle

Area of shapes on grid

Area of teapezoids & composite figure

Area of circumference of circle

Advanced area with triangle

### Volume and surface area

volume of rectangular prism

volume with fraction

surface area

volume of cones, cylinder and sphere

solid geometry

surface and volume density

cross section of 3D objects

koch snowflake fractel

Heron’s formula

### Pythagorean theorem

pythagorean theorem

Pythagorean theorem application

Pythagorean theorem and distance between points

Pythagorean theorem proof

### Transformations

Introduction to rigid transformation

Translation

Rotation

Reflection

Rigid transformation overview

Dilations

Properties and definition of transformation

symmetry

old transformation video

### Congruence

Transformation and congruence

Triangle congruence

Theorem concerning triangle properties

working with triangle

Theorem concerning quadrilateral properties

proof of general theorem that use triangle congruence

### Similarity

Definition of similarity

introduction to triangle similarity

solving similar triangle

Angle bisector theorem

solving problem with congruent triangle

solving modeling problems with similar and congruent triangle

### Trigonometry

special right triangle

introduction to the right the trigonometric ratio

solving for a side in a right using the trigonometric ratio.

solving for an angle in a right triangle using the trigonometric

Modeling with right triangle

Trigonometric ratio and similarity

since and cosine of complementary ratio

The law of sines

The law of cosines

Solving general triangle

### Circles

Circle basic

Arc to measure length

Arc length (from degrees)

Introduction to radians

Arc length (from radians )

Inscribed angle

Inscribed shape problem solving

properties of tangent

Area of Inscribed triangle

Standard equation of a circle

Expanded equation of a circle

### Analytic geometry

Distance and mid points

Dividing line segment

problem solving with distance on the coordinate plane

Parallel and perpendicular line on the coordinate plane

Equation of parallel and perpendicular line

challenges distance between a point and a line

### Geometric constructions

Constructions bisectors of line and angle

Construction regular polygon inscribed in circle

Construction circumcircle and incircle

construction a line tangent to a circle

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