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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.
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eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 4.4 Theorems About Triangles

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

Ck 12: Interactive Geometry: 1.7 the Pythagorean Theorem

For Students 9th - 10th Standards
Explore and discover the Pythagorean theorem.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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).
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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.
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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.