Proving Triangle Congruence through Transformations
Within this blog you will discover how to perform 2 types of Transformations (Translations, Reflections), prove angles formed from parallel lines and transverals by geometric proofs and how to use geometric proofs to prove triangle congruency.
Transformations
Geogebra Animations
A Geogebra Animation that is freaking AWESOME
(Check this out first!)
An Excellent Geogebra animation
(This one is beautiful!!)
You Tube Videos
Video connecting Transformations to Animation
(Great video on the connection of transformation and how it applies to a career.)
A cartoon explaining Transformation
A Game Using All 3 Transformations
Another Transformation Game
Transformation Game
A Geogebra Animation that is freaking AWESOME
(Check this out first!)
An Excellent Geogebra animation
(This one is beautiful!!)
You Tube Videos
Video connecting Transformations to Animation
(Great video on the connection of transformation and how it applies to a career.)
A cartoon explaining Transformation
A Game Using All 3 Transformations
Another Transformation Game
Transformation Game
Compositions of Tansformations
Video 1
Video 2
(Glide Reflections - Translation followed by a reflection)
Video 3
(Compositions of Reflections)
Video
(Glide Reflections and Compositions of Reflections)
Video
(Composition of Reflections)
Video 4
(A little long but could be helpful)
Video 5
Video 6
Video 7
(Composition of Reflections)
Video 2
(Glide Reflections - Translation followed by a reflection)
Video 3
(Compositions of Reflections)
Video
(Glide Reflections and Compositions of Reflections)
Video
(Composition of Reflections)
Video 4
(A little long but could be helpful)
Video 5
Video 6
Video 7
(Composition of Reflections)
Angles formed from Parallel lines and Transversals
Vertical Angles
Vertical Angles 1
Vertical Angles 2
Vertical Angles 3
Alternate Interior Angles
Alternate Interior Angles 1
Alternate Interior Angles 2
Alternate Interior Angles 3
Alternate Exterior Angles
Alternate Exterior Angles 1
Alternate Exterior Angles 2
Alternate Exterior Angles 3
Corresponding Angles
Corresponding Angles 1
Corresponding Angles 2
Corresponding Angles 3
Alternate Interior, Alternate Exterior, Vertical and Corresponding Angles
All 4 Congruent Angles Together 1
All 4 Congruent Angles Together 2
Adjacent Angles
Adjacent Angles 1
Adjacent Angles 2
Adjacent Angles 3
Same Side Interior Angles (Consecutive Angles)
Same Side Interior Angles (Consecutive) Angles 1
Same Side Interior Angles (Consecutive) Angles 2
Same Side Interior Angles (Consecutive) Angles 3
Powerpoints and Interactive Activities
- Angles formed from Parallel lines and Transversals Interactive Problems (1)
- Angles formed from Parallel lines and Transversals Interactive Problems (2)
-Angles from Parallel lines and Transversals practice problems
(Must be completed on a separate sheet of paper. This site does provide one answer to the proof.)
Vertical Angles 1
Vertical Angles 2
Vertical Angles 3
Alternate Interior Angles
Alternate Interior Angles 1
Alternate Interior Angles 2
Alternate Interior Angles 3
Alternate Exterior Angles
Alternate Exterior Angles 1
Alternate Exterior Angles 2
Alternate Exterior Angles 3
Corresponding Angles
Corresponding Angles 1
Corresponding Angles 2
Corresponding Angles 3
Alternate Interior, Alternate Exterior, Vertical and Corresponding Angles
All 4 Congruent Angles Together 1
All 4 Congruent Angles Together 2
Adjacent Angles
Adjacent Angles 1
Adjacent Angles 2
Adjacent Angles 3
Same Side Interior Angles (Consecutive Angles)
Same Side Interior Angles (Consecutive) Angles 1
Same Side Interior Angles (Consecutive) Angles 2
Same Side Interior Angles (Consecutive) Angles 3
Powerpoints and Interactive Activities
- Angles formed from Parallel lines and Transversals Interactive Problems (1)
- Angles formed from Parallel lines and Transversals Interactive Problems (2)
-Angles from Parallel lines and Transversals practice problems
(Must be completed on a separate sheet of paper. This site does provide one answer to the proof.)
Triangle congruence Vocabulary (Accompanied by visuals)
Congruence
Right Angles (using a Right triangle as an example)
Angle Bisector
Perpendicular Bisector
Translation
Reflection
"Reflected Triangles" - Something Extra
Rotation
"Rotated Triangles" - Something Extra
Side-Side-Side (SSS) (triangle congruency)
Side-Angle-Side (SAS) (triangle congruency)
Angle-Side-Angle (ASA) (triangle congruency)
Angle-Angle-Side (AAS) (triangle congruency)
Hypotenuse-Lg (HL) (Triangle Congruency)
Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
Right Angles (using a Right triangle as an example)
Angle Bisector
Perpendicular Bisector
Translation
Reflection
"Reflected Triangles" - Something Extra
Rotation
"Rotated Triangles" - Something Extra
Side-Side-Side (SSS) (triangle congruency)
Side-Angle-Side (SAS) (triangle congruency)
Angle-Side-Angle (ASA) (triangle congruency)
Angle-Angle-Side (AAS) (triangle congruency)
Hypotenuse-Lg (HL) (Triangle Congruency)
Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
Congruency
Congruent Line Segments
Congruent Angles
Corresponding Parts of Congruent Triangles are Congruent
Congruent Triangles Illustration and Notes
Reflected Triangle Congruence
Rotated Triangle Congruence
Geogebra Online Interactive Worksheets
A Geogebra demonstration of Congruent Figures using Transformation (AWESOME)
(Definitely check this one out)
Geogebra Worksheet for Congruent Triangles (1) - ASA
Geogebra Worksheet for Congruent Triangles (2) - SAS
Geogebra Worksheet for Congruent Triangles (3) - SSS
Geogebra Worksheet for Congruent Triangles (4)
Awsome Geogebra Video Connecting Congruent Triangles with Circles
Constructing a triangle with Compass and Straightedge on Geogebra
Congruent Angles
Corresponding Parts of Congruent Triangles are Congruent
Congruent Triangles Illustration and Notes
Reflected Triangle Congruence
Rotated Triangle Congruence
Geogebra Online Interactive Worksheets
A Geogebra demonstration of Congruent Figures using Transformation (AWESOME)
(Definitely check this one out)
Geogebra Worksheet for Congruent Triangles (1) - ASA
Geogebra Worksheet for Congruent Triangles (2) - SAS
Geogebra Worksheet for Congruent Triangles (3) - SSS
Geogebra Worksheet for Congruent Triangles (4)
Awsome Geogebra Video Connecting Congruent Triangles with Circles
Constructing a triangle with Compass and Straightedge on Geogebra
Mr. Lakey's Personally Made Geometric Proofs Videos
Mr. Lakey's Personally Made Geometric Proof Videos
Proofs on Paper
Angles
Paper based proof #1
Paper based proof #2
Triangles
Triangle Proof Practice #10
(Added on 3-16-20)
Triangle Proof Practice #8
(Added on 3-18-20)
Triangle Proof Practice #20
(Added on 3-18-20)
Triangle Proof Practice #21
(Added on 3-18-20)
Take Home Exam #5
(Added on 3-20-20)
Take Home Exam #6
(Added on 3-20-20)
Take Home Exam #13
(Added on 3-20-20)
Take Home Exam #15
(Added on 3-20-20)
Sec. 1. 6 Letter "e"
(Added on 3-24-20)
Sec 1.6 Letter "g"
(Added on 3-25-20)
Sec 1.6 Letter "i"
(Added on 3-25-20)
Sec 1.6 Letter "d"
(Added on 3-25-20)
CanFigureit Proofs
Angles
Alternate Exterior Angles 13
Triangles
SSS #7
SSS #4
SSS #6
SAS #4
ASA #4
ASA #7
SAS #11
(Added on 3-16-20)
Proofs on Paper
Angles
Paper based proof #1
Paper based proof #2
Triangles
Triangle Proof Practice #10
(Added on 3-16-20)
Triangle Proof Practice #8
(Added on 3-18-20)
Triangle Proof Practice #20
(Added on 3-18-20)
Triangle Proof Practice #21
(Added on 3-18-20)
Take Home Exam #5
(Added on 3-20-20)
Take Home Exam #6
(Added on 3-20-20)
Take Home Exam #13
(Added on 3-20-20)
Take Home Exam #15
(Added on 3-20-20)
Sec. 1. 6 Letter "e"
(Added on 3-24-20)
Sec 1.6 Letter "g"
(Added on 3-25-20)
Sec 1.6 Letter "i"
(Added on 3-25-20)
Sec 1.6 Letter "d"
(Added on 3-25-20)
CanFigureit Proofs
Angles
Alternate Exterior Angles 13
Triangles
SSS #7
SSS #4
SSS #6
SAS #4
ASA #4
ASA #7
SAS #11
(Added on 3-16-20)
SSA - A shortcut that is not always correct
Why SSA does not work (1)
Step by Step Screen cast (1)
Excellent video that shows if you have two possible solutions this is a shortcut that is not always consistent.
Step by Step Screen Cast (2)
Excellent video that shows when this can work.
Excellent Geogebra Interactive Worksheet
Step by Step Screen cast (1)
Excellent video that shows if you have two possible solutions this is a shortcut that is not always consistent.
Step by Step Screen Cast (2)
Excellent video that shows when this can work.
Excellent Geogebra Interactive Worksheet
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