Khan Academy
Khan Academy: Geometry: Inscribed and Central Angles
Proof that the measure of an inscribed angle is half the measure of a central angle when the angles intercept the same arc. [14:16]
Massachusetts Institute of Technology
Mit: Blossoms: The Pythagorean Theorem: Geometry's Most Elegant Theorem
Use this video to help teach the Pythagorean Theorem. The video can be downloaded, there is a transcript of the video, and a teacher's guide to aid in using the video. [21:38]
Sophia Learning
Sophia: Proof (Harder)
This geometry resource discusses two types of proof. Video lessons demonstrating a flow proof and a two-column proof are included.
Sophia Learning
Sophia: Types of Proofs
Explore the similarities and differences between paragraph proofs, flow chart proofs, and two-column proofs. Assess learning with a quiz.
Sophia Learning
Sophia: Introduction to Geometric Proof
Explore the structure and how to complete a flow proof and a two-column proof.
Sophia Learning
Sophia: Intermediate Proof
Use the two-column proof and the flow proof to prove two triangles congruent.
Sophia Learning
Sophia: Language of Geometry
This video tutorial introduces some common terms for geometry including axiom, postulate, theorem, and corollary. Students can check their understanding with an assessment.
Khan Academy
Khan Academy: Geometry: Part 2 of the Proof of Heron's Formula
Completes the proof of Heron's formula that was begun in the video, "Part 1 of Proof of Heron's Formula." [12:08]
Khan Academy
Khan Academy: Geometry: Euler's Line Proof
Proves that the circumcenter, orthocenter, and centroid all lie on the same line, the Euler line. Proof relies on understanding of properties of similar triangles and properties of special parts of a triangle. [9:50]
Khan Academy
Khan Academy: Worked Examples: Geometry: Ca Geometry: Similar Triangles 1
In this video tutorial students explore a proof using similar triangles.
Khan Academy
Khan Academy: Triangles: Another Pythagorean Theorem Proof
Students explore the Pythagorean Theorem by exploring a visual proof of the Theorem as they watch a video tutorial.
Khan Academy
Khan Academy: Triangles: Fill in the Blank Triangle Proofs Example 1
In this video, we listen to how a geometry exercise is completed as the presenter demonstrates the reasoning behind proving that the corresponding parts of triangles are congruent. [9:42]
Sophia Learning
Sophia: Language of Geometry
This video lesson defines and provides an example of common geometry terms including theorem, postulate, axiom, and corollary.
Khan Academy
Khan Academy: Geometry: Inradius Perimeter and Area
Proof that the area of a triangle is equal to half the inradius times the perimeter of the triangle, or the area is equal to the inradius times the semiperimeter. This video also appears in the Geometry: Circles strand. [7:29]
Khan Academy
Khan Academy: Geometry: Exploring Medial Triangles
This video tutorial [11:32] explains what a medial triangle is and proves that the medial triangle divides the original triangle into four congruent triangles. Proof uses triangle similarity and triangle congruence postulates.
Khan Academy
Khan Academy: Geometry: Rhombus Diagonals
Demonstrates how to prove that the diagonals of a rhombus are perpendicular bisectors of each other based on knowledge of triangle congruency postulates and properties of altitudes. [4:38]
Khan Academy
Khan Academy: Geometry: Common Orthocenter and Centroid
Proves that if the orthocenter and centroid are the same point in a triangle then the triangle is a right triangle. [6:25]
Khan Academy
Khan Academy: Geometry: Circumcenter of a Right Triangle
Proves that the circumcenter of a right triangle is the midpoint of the hypotenuse. [5:42]
Loyola University Chicago
Math Flix: Similar Figures: Proof Using Proportions
This QuickTime movie provides an opportunity to develop the basic geometric term, similar, by checking to see if figures are proportionaly similar. As you watch and listen to the teacher and student interact it helps clarify the thinking...
Sophia Learning
Sophia: Pythagorean Theorem Proof
Find the area of several figures to prove the Pythagorean theorem. Complete quiz to check understanding. [5:16]
Study Pug
Study Pug: Perpendicular Line Proofs
Video lesson explains angles, lines, and transversals. [9:33]
Sophia Learning
Sophia: Pythagorean Theorem Proof
Prove the Pythagorean theorem and take a quiz to assess learning.
Khan Academy
Khan Academy: Geometry: Part 1 of Proof of Heron's Formula
Demonstrates how to derive a version of Heron's formula using the Pythagorean Theorem and the formula for the area of a triangle. Applies Heron's formula to solve a sample problem. [10:59]
Khan Academy
Khan Academy: Geometry: Angles of Parallel Lines 2
Explains how to determine the measures of all the angles formed when parallel lines are cut by a transversal based on the measure of one angle. Explains how to use corresponding congruent angles to determine if lines cut by a transversal...
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