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:
Notes | Annotated
Khan video: Euclid as the father of geometry
Khan video: Terms & labels in geometry
Khan video: Geometric definitions example
Khan video: Lines, line segments, & rays
Khan video: Specifying planes in three dimensions
Practice Problems:
IXL: Geometry: B.1 Lines, line segments, and rays (score of 50)
IXL: Geometry B.2 Properties of planes, lines, and points (score of 50)
Khan Exercise: Points, lines, and planes
Khan Exercise: Geometric definitions
10.2 Pythagorean Theorem
Explanation:
Notes | Annotated
Khan video: Intro to the Pythagorean theorem
Khan video: Pythagorean theorem example
IXL article: Pythagorean Theorem
Khan video: Intro to rational & irrational numbers
Khan video: Classifying numbers: rational & irrational
Khan article: Simplifying square roots
Practice Problems:
IXL: Geometry Q.1 Pythagorean theorem (round answers)
Khan exercise: Use Pythagorean theorem to find right triangle side lengths (do not simplify roots)
Khan exercise: Pythagorean theorem challenge
Khan exercise: Classify numbers: rational & irrational
Khan exercise: Simplify square roots
10.3 Distance between two points: distance formula; copy a line segment
Explanation:
Notes | Annotated
Khan article: Getting ready for analytic geometry
Khan video: Distance formula
Khan article: Distance formula
Khan video: Points inside/outside/on a circle
Practice Problems:
Khan exercise: Distance between two points
Khan exercise: Points inside/outside/on a circle (honors)
IXL: Geometry B.12 Distance formula
IXL: Geometry B.13 Distance to the origin in three dimensions (honors: extra credit)
10.4 Midpoint: planar and coordinate geometry
Explanation
Khan video: Midpoint formula
Khan article: Midpoint formula
IXL article: Midpoint formula
Khan video: Dividing line segments: graphical (honors)
Khan video: Dividing line segments (honors)
Practice Problems
IXL: Geometry B.6 Midpoints (on a number line until 78: two equal expressions)
IXL: Geometry B.9 Midpoint formula: find the midpoint
IXL: Geometry B.11 Midpoint formula: find the endpoint
IXL: Geometry B.10 Partition a line segment in a given ratio (extra credit for honors)
Khan Exercise: Midpoint formula (includes finding an endpoint)
Khan exercise: Divide line segments
10. 5 Perpendicular Constructions
Explanation:
Animated Tutorials all constructions (click here for all constructions)
Bisect a segment (also known as a perpendicular bisector)
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
Perpendicular bisector theorem
Practice Problems:
10.6 Angle Bisector & Construct Angles (Copy an Angle, Angle Bisector, Construct an Inscribed Hexagon)
Explanation:
IXL article: Angle bisectors
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:
IXL: Geometry C.1 Angle vocabulary (warm-up review)
IXL: Geometry C.2 Angle measures (warm-up review)
IXL: Geometry C.5 Angle bisectors
IXL: Geometry C.6 Construct an angle bisector
IXL: Geometry C.7 Construct a congruent angle
Worksheet #1
Review
Vocabulary Review