Skills to Master
- G.SRT.1a – A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
- G.SRT.1b – The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
- G.SRT.2 – Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar.
- Explain, using similarity transformations, the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
- Given a pair of triangles, make a statement about their similarity (similar, not similar, not enough information to prove similarity) and prove your case.
- G.SRT.4 – Prove theorems about triangles.
- A line parallel to one side of a triangle divides the other two proportionally.
- Prove the Pythagorean Theorem using triangle similarity.
- G.SRT.5 – Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
- Practice applications of similarity to solve for unknown values or parts.
- G.SRT.3 – Use the properties of similarity transformations to establish the Angle-Angle (AA) criterion for two triangles to be similar.
- G.SRT.5 – Use the properties of similarity transformations to establish the Side-Side-Side (SSS) and Side-Angle-Side (SAS) criterion for two triangles to be similar.
Video Tutorials
Video # 1 – Proportions (Equal Ratios)
Video # 2 – Scale Factor
Video # 3 – Angle Angle Similarity (Defined)
Video # 4 – Angle Angle Similarity (Example)
Video # 5 – Side Angle Side Similarity (Defined)
Video # 6 – Side Angle Side Similarity (Example)
Video # 7 – Side Side Side Similarity (Defined)
Video # 8 – Side Side Side Similarity (Example)
Video # 9 – Determining if Triangles are Similar (Ex 1)
Video # 10 – Determining Triangle Similarity (Ex 2)
Video # 11 – Determining Triangle Similarity (Ex 3)
Video # 12 – Angle Bisector Proportional Side Theorem
Video # 13 – Triangle Proportionality Theorem
Video # 14 – Right Triangle / Altitude Similarity Theorem (Lesson & Simple Examples)
Video # 15 – Right Triangle / Altitude Similarity Theorem (Multi-Step Examples)
Notes
IM2-7.1a-Notes-Key-by-Hand-Similarity-Transformation-ReviewIM2-7.2a-Notes-Key-by-Hand-Similarity-Intro-to-Similar-Triangles
IM2-7.2b-Notes-Key-by-Hand-Similarity-Scale-Factor