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Discovering Proportional Parts in Triangles, Parallel Lines
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1. Discovering Proportional Parts in Triangles
- 11.6 Triangle Proportionality Theorem
- Triangle Midsegment Theorem
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2. Discovering Proportional Parts in Parallel Lines
- Parallel Lines Proportionality Theorem
- Parallel Lines Congruent Segments Theorem
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3. Discovering Proportional Relationships in Similar Triangles
- Corresponding Altitudes and Medians in Similar Triangles
- Proportional Angle Bisectors in Similar Triangles
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4. Discovering Triangle Bisector Theorem
- Similar Triangles - Angle Bisector
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Discovering Proportional Parts in Triangles, Parallel Lines
Keri Beechler, Jan 10, 2023

A collection of applets to discover key theorems from 7-4 and 7-5 in Glencoe Geometry book.
Table of Contents
- Discovering Proportional Parts in Triangles
- 11.6 Triangle Proportionality Theorem
- Triangle Midsegment Theorem
- Discovering Proportional Parts in Parallel Lines
- Parallel Lines Proportionality Theorem
- Parallel Lines Congruent Segments Theorem
- Discovering Proportional Relationships in Similar Triangles
- Corresponding Altitudes and Medians in Similar Triangles
- Proportional Angle Bisectors in Similar Triangles
- Discovering Triangle Bisector Theorem
- Similar Triangles - Angle Bisector
11.6 Triangle Proportionality Theorem
Use this applet to discover the triangle proportionality theorem!


Parallel Lines Proportionality Theorem
Use this applet to discover the parallel lines proportionality theorem!
How are the ratios of sides AC to CF related to the ratios of sides EB to ED?
Move point A and/or point C to explore.
Does your conjecture hold true when you drag point A on top of point B to create a triangle?


Corresponding Altitudes and Medians in Similar Triangles
Altitudes in similar triangles

Medians in similar triangles

Perimeter in similar triangles


Similar Triangles - Angle Bisector


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