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