# Geometry Basics

**Geometry is the study of the characteristics and relationships of shapes. Characteristics include facts about and measurements of an object.**

**10.1 Introduction to Geometry: undefined terms, naming conventions, and their relationships**

**Explanation:**Khan video: Euclid as the father of geometry

Khan video: Terms & labels in geometry

Khan video: Lines, line segments, & rays

Khan video: Specifying planes in three dimensions

**Practice Problems:**Khan Exercise: Points, lines, and planes

Worksheet #1

**10.2 Midpoint: planar geometry (Midpoint theorem), coordinate geometry, and construction (bisector) **

**Explanation**Bisect a segment (also known as a perpendicular bisector)

**Practice Problems**

**10.3 Distance between two points: distance formula and Pythagorean Theorem; copy a line segment**

**Explanation:**Khan video: Intro to the Pythagorean theorem

Khan video: Pythagorean theorem example

**Practice Problems:**Khan exercise: Use Pythagorean theorem to find right triangle side lengths

Khan exercise: Pythagorean theorem challenge

**10.4 Construct perpendicular lines and squares **

**Explanation:**Animated Tutorials all constructions (click here for all constructions)

Construct a Perpendicular Line through a Point on the Given Line

Construct a Perpendicular Line through a Point not on the Given Line

Constructing a square (given a side)

Square inscribed in a circle | Khan video: Geometric constructions: circle-inscribed square

**Practice Problems:**

**10.5 Construct Angles: Copy an Angle, Angle Bisector, Construct an Inscribed Hexagon**

**Explanation:**Animated Tutorials all constructions (click here for all constructions):

Copy an angle | Khan video: Geometric constructions: angle bisector

Bisect an angle | Khan video: Geometric constructions: angle bisector

Construct an equilateral triangles | Khan video: Geometric constructions: circle-inscribed equilateral triangle

Hexagon inscribed in a circle | Geometric constructions: circle-inscribed regular hexagon

**Practice Problems:**Worksheet #1

**All Constructions **

Animated step-by step tutorials website: Math Open Reference

Typed instructions: website - this website has step by step directions to several constructions

Khan video: Geometric constructions: triangle-inscribing circle

Khan video: Geometric constructions: triangle-circumscribing circle

Crop Circles:

How Stuff Works (4:29)

**10.6 Angle Relationships: adjacent angles, angle addition postulate, linear pair, and vertical angles**

**Explanation:**Khan video: Complementary & supplementary angles

Khan video: Equation practice with complementary angles

Khan video: Equation practice with supplementary angles

Khan video: Vertical angles

Khan video: Equation practice with vertical angles

**Practice Problems:**Khan exercise: Complementary and supplementary angles (visual)

Khan exercise: Equation practice with angle addition

Khan exercise: Vertical angles (honors only)

Khan exercise: Equation practice with vertical angles

ExamView Test Bank (purchase)

**Vocabulary Review**