eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 6.6 Theorems Involving Similarity

For Students 9th - 10th Standards
Learn the many theorems about triangles that you can prove using similar triangles.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 4.4 Theorems About Triangles

For Students 9th - 10th Standards
Discover some theorems about triangles.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 4.1 Theorems and Proofs

For Students 9th - 10th Standards
Understand theorems and proofs as they relate to geometry.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 1.7 the Pythagorean Theorem

For Students 9th - 10th Standards
Explore and discover the Pythagorean theorem.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Proof Without Words: Completing the Square

For Students 9th - 10th Standards
Use this interactive geometric proof to complete the square using geometry.
Handout
Dartmouth College

Dartmouth College: The Different Styles of Euclid and Copernicus

For Students 9th - 10th Standards
A history of the differences between Euclid's and Copernicus's methods of proving geometric ideas.
Activity
Maths Challenge

Maths challenge.net: Cables

For Students 9th - 10th Standards
This is a proof problem, considered a "three star" geometry problem requiring knowledge of proofs and properties of circles to solve this problem with cables in duct problem.
Activity
Maths Challenge

Maths challenge.net: Radical Axis

For Students 9th - 10th Standards
This is a "three star" geometry problem requiring knowledge of proofs and properties of circles. Students will use the given definition of radical axis and prior knowledges to prove a way to find a radical axis.
Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Congruent Triangles

For Students 9th - 10th Standards
Find a quick, concise explanation of Congruent Triangles. Several examples are given and clearly explained.
Whiteboard
ClassFlow

Class Flow: Congruency

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Here are many variations of congruent triangles displayed for students to test their knowledge.
Activity
Math Is Fun

Math Is Fun: Triangles Contain 180 Degrees

For Students 9th - 10th Standards
Students learn about the angle-sum theorem. A definition, example, and proof are included.
Unit Plan
Math Is Fun

Math Is Fun: Triangles

For Students 9th - 10th Standards
Students learn about the terminology and formulas associated with triangles. The learning resource consists of definitions, diagrams, and examples.
Handout
University of British Columbia

University of British Columbia: Proof of the Pythagorean Theorem

For Students 9th - 10th Standards
A geometric model that proves the Pythagorean Theorem in a step-by-step diagram that students can advance at their own pace. Requires Java.
Handout
Wolfram Research

Wolfram Math World: Postulate

For Students 9th - 10th Standards
This MathWorld site defines postulates, and explains how and where they are used in mathematics. The site has numerous links to related terms.
Handout
Wolfram Research

Wolfram Mathworld: Theorem

For Students 9th - 10th Standards
This simple MathWorld site defines theorems and briefly explains how a theorem is produced.
Website
Cut the Knot

Cut the Knot!: Proofs in Mathematics

For Students 9th - 10th Standards
This site provides an explanation of mathematical proofs. It also has links to different types of proofs.
Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Types of Triangles

For Students 9th - 10th Standards
Find a quick, concise explanation of the different types of triangles. Examples are given and clearly explained.
Handout
Jim Loy

Jim Loy's Mathematics Page: Congruence of Triangles

For Students 9th - 10th Standards
Find explanations of the ways to prove triangles are congruent. There is a link for Congruence Of Triangles, Part II to find the proofs of some ways to prove congruence of triangles from other postulates (i.e. Assume SAS prove ASA).
Lesson Plan
Michigan State University

Michigan State University: Biometrics: Hand Geometry

For Teachers 9th - 10th Standards
Students use hand geometry to prove their own identification.
Handout
Wolfram Research

Wolfram Math World: Two Column Proof

For Students 9th - 10th Standards
MathWorld gives a discussion of the use of two-column proofs by high school and middle school students and its relevance to mathematicians.