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unit.3.study.guide_19-20.pdf | |
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Unit 3 Congruence
In this unit students will:
Unit 3 Videos
Vertical Angles & Linear Angles https://www.youtube.com/watch?v=ojCmqUliWec
Complementary & Supplementary Angles https://www.youtube.com/watch?v=95Xzwaxm8W8
Parallel Lines & Transversals https://www.youtube.com/watch?v=sBUsOXUyqSQ
Triangle Midsegment Theorem https://www.youtube.com/watch?v=oGYgXj5Z_oM
Congruent Triangles & CPCTC https://www.youtube.com/watch?v=CA1TvVRApkQ
https://www.youtube.com/watch?v=JtgABYPsv7g
Congruent Triangle Proofs https://www.youtube.com/watch?v=4giM5JT5QqY
https://www.youtube.com/watch?v=12Ok_sKhQYY
Properties of Parallelograms https://www.youtube.com/watch?v=-Weia4Pe-9k
Parallogram Proofs https://www.youtube.com/watch?v=G0Qgz51tjy0
Dialations & Scale Factor https://www.youtube.com/watch?v=fN0awd3SqCk
Similar Triangles https://www.youtube.com/watch?v=I6oPkqC7Io0
In this unit students will:
- verify experimentally with dilations in the coordinate plane.
- use the idea of dilation transformations to develop the definition of similarity.
- determine whether two figures are similar.
- use the properties of similarity transformations to develop the criteria for proving similar triangles.
- use AA, SAS, SSS similarity theorems to prove triangles are similar.
- use triangle similarity to prove other theorems about triangles.
- using similarity theorems to prove that two triangles are congruent.
- prove geometric figures, other than triangles, are similar and/or congruent.
- use descriptions of rigid motion and transformed geometric figures to predict the effects rigid motion has on figures in the coordinate plane.
- know that rigid transformations preserve size and shape or distance and angle; use this fact to connect the idea of congruency and develop the definition of congruent.
- use the definition of congruence, based on rigid motion, to show two triangles are congruent if and only if their corresponding sides and corresponding angles are congruent.
- use the definition of congruence, based on rigid motion, to develop and explain the triangle congruence criteria; ASA, SSS, and SAS.
- prove theorems pertaining to lines and angles.
- prove theorems pertaining to triangles.
- prove theorems pertaining to parallelograms.
- make formal geometric constructions with a variety of tools and methods.
- construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
Unit 3 Videos
Vertical Angles & Linear Angles https://www.youtube.com/watch?v=ojCmqUliWec
Complementary & Supplementary Angles https://www.youtube.com/watch?v=95Xzwaxm8W8
Parallel Lines & Transversals https://www.youtube.com/watch?v=sBUsOXUyqSQ
Triangle Midsegment Theorem https://www.youtube.com/watch?v=oGYgXj5Z_oM
Congruent Triangles & CPCTC https://www.youtube.com/watch?v=CA1TvVRApkQ
https://www.youtube.com/watch?v=JtgABYPsv7g
Congruent Triangle Proofs https://www.youtube.com/watch?v=4giM5JT5QqY
https://www.youtube.com/watch?v=12Ok_sKhQYY
Properties of Parallelograms https://www.youtube.com/watch?v=-Weia4Pe-9k
Parallogram Proofs https://www.youtube.com/watch?v=G0Qgz51tjy0
Dialations & Scale Factor https://www.youtube.com/watch?v=fN0awd3SqCk
Similar Triangles https://www.youtube.com/watch?v=I6oPkqC7Io0