Geometry CCP
Table of Contents
- Unit 7 Special Triangle Segments
- 7 Circumcenter
- Triangle "Centers"
- Unit 9 Ratios, Proportions, and Similarity
- Similar Polygons
- Unit 10 Right Triangles
- Proof Without Words
- Unit 11 Circles
- Tangent Segments
- Inscribed Angles
7 Circumcenter
Circum - what?
We have been studying special segments in triangles. Today you will investigate the properties of the perpendicular bisectors of the three sides of a triangle. Follow the directions on the 7 Circumcenter resource. When you are finished, save your file and submit on Schoology.
Similar Polygons
Proof Without Words
Drag the points in the sketch below.[br]What do you notice? What does this prove? How does this prove it?
Tangent Segments
Recall that TANGENTS are lines that intersect a circle at ONE point and are PERPENDICULAR to the radius at the point of tangency. When two tangents intersect the segments from the circle to the point of intersection are ...[br][br]Follow the directions to discover the relationship between the tangent segments formed by the intersection of two tangents of the same circle.[br][br]1. Create a circle through point ([i]B)[/i].[br]2. Construct a second point on the circle ([i]C[/i]).[br]3. Construct tangents at points [i]B[/i] and [i]C.[br][/i]4. Construct a point at the intersection of the two tangents ([i]D[/i]).[br]5. Find [i]BD[/i] and [i]CD[/i].[br]6. What do you notice?[br]7. Move points [i]B[/i] and [i]C[/i]. What do you notice?[br]8. Take a screen shot or a snip of your work and submit to the "Tangent Segments" assignment on Schoology.