- Triangle Proportionality Theorem: If a line is parallel to one side of a triangle and intersects the other two sides, it divides those two sides proportionally.
- Triangle Proportionality Theorem Proof: Involves showing that corresponding sides of the triangles formed by the parallel line are in proportion.
- SAS Similarity Theorem: If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.
- Similarity Transformation and Dilation Formula: Involves a dilation, which produces an image that is the same shape as the original, but is a different size.
- Understanding and applying these theorems and formulas helps students gain a deeper understanding of geometric relationships and proportions within triangles.
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