Geometry Proofs - Angle Theorem
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Angle Theorems - Proofs and Descriptions
This lens is designed as a place to find proofs of some of the most fundamental angle theorems in a high school geometry class. Each theorem will contain a description of the theorem with some discussion on its usefulness and then a video showing the proof. If there are any theorems you would like to see a proof for then leave a comment and I will try and make it happen!
If you are looking for a more comprehensive math website check out my website How 2 Learn Math. You could also check out my YouTube Channel. Check out the playlists to see an organized view of my videos.
If you are looking for a more comprehensive math website check out my website How 2 Learn Math. You could also check out my YouTube Channel. Check out the playlists to see an organized view of my videos.
Vertical Angle Theorem
Vertical Angle Theorem - If two angles are vertical angles, then they are congruent.
Usefulness - The Vertical Angle Theorem is a powerful theorem when proving theorems about parallel lines. It is used in one way or another in most angle proofs.
Usefulness - The Vertical Angle Theorem is a powerful theorem when proving theorems about parallel lines. It is used in one way or another in most angle proofs.
Congruent Supplements Theorem
Congruent Supplements Theorem - If two angles are supplementary to the same angle, then the two angles are congruent.
Alternate Congruent Supplements Theorem - If two angles are supplementary to congruent angles, then the two angles are congruent.
Usefulness - Congruent Supplements is most useful as a time saver when proving various theorems. Over and over again I point this out to my students, but some refuse to use it! I tell them Congruent Supplements is your friend!!!!
Alternate Congruent Supplements Theorem - If two angles are supplementary to congruent angles, then the two angles are congruent.
Usefulness - Congruent Supplements is most useful as a time saver when proving various theorems. Over and over again I point this out to my students, but some refuse to use it! I tell them Congruent Supplements is your friend!!!!
Alternate Interior Angle Theorem
Alternate Interior Angle Theorem - If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
Usefulness - The Alternate Interior Angle Theorem is used to help prove other theorems about parallel lines and is also used to prove things about parallelograms.
Usefulness - The Alternate Interior Angle Theorem is used to help prove other theorems about parallel lines and is also used to prove things about parallelograms.
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Same-Side Interior Angle Theorem
Same-Side Interior Angle Theorem - If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
Usefulness - The Same-Side Interior Angle Theorem is useful in proving other theorems about parallel lines and particularly about quadrilaterals. Remembering this theorem is also important for solving problems involving trapezoids and parallelograms.
Usefulness - The Same-Side Interior Angle Theorem is useful in proving other theorems about parallel lines and particularly about quadrilaterals. Remembering this theorem is also important for solving problems involving trapezoids and parallelograms.
The Triangle Angle Sum Theorem
The Triangle Angle Sum Theorem - The sum of the angles of a triangle is 180 degrees.
Usefulness - The Triangle Angle Sum Theorem is one of the foundations of high school geometry. It is obviously essential to studying triangles, but is also used while studying all polygons and other important geometric objects.
Usefulness - The Triangle Angle Sum Theorem is one of the foundations of high school geometry. It is obviously essential to studying triangles, but is also used while studying all polygons and other important geometric objects.
Remote Interior Angles Theorem
Remote Interior Angles Theorem - An external angle of a triangle has the same measure as the sum of two remote interior angles (non-adjacent) in the triangle.
Usefulness - The Remote Interior Angles Theorem is not as well know as some of the other theorems on this page, but it is an essential tool in the geometry students problem solving tool box. There are many problems that can be made much, much easier by employing this theorem.
Usefulness - The Remote Interior Angles Theorem is not as well know as some of the other theorems on this page, but it is an essential tool in the geometry students problem solving tool box. There are many problems that can be made much, much easier by employing this theorem.
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Pangionedevelopers
Feb 18, 2012 @ 8:04 pm | delete
- great info source
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GonnaFly
Sep 25, 2011 @ 1:34 am | delete
- What a useful lens! This lens has been blessed by the maths angel and added to my best maths resources lens.
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