Parallel Lines and Proportional Parts Section 6 4
- Slides: 14
Parallel Lines and Proportional Parts Section 6 -4
Proportional Parts of Triangles: • Non-Parallel transversals that intersect 2 Parallel lines can be extended to form 2 similar triangles. Line a║line b Line a Line b
Example: Finding the Length of a Segment Find US. Since segment ST║segment UV, then ∆RST ~ ∆RUV.
Example: Find PN. PN = 7. 5
Example: Verifying Segments are Parallel Verify that Since . , by the Converse of the Triangle Proportionality Theorem.
Example: AC = 36 cm, and BC = 27 cm. Verify that Since . , by the Converse of the Triangle Proportionality Theorem.
Midsegment in a Triangle: • Segment whose endpoints are the midpoints of 2 sides of a triangle. Triangle Midsegment Theorem: A midsegment of a triangle is║to one side and its length is half that side. 4 cm Parallel 8 cm
Triangle Midsegment Theorem Corollaries: 1. If three or more║lines intersect two transversals, then they cut off the transversals proportionally. 2. If three or more║lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
If lines AD, BE, and CF are ║, then: • AB/BC = DE/EF • AC/DF = BC/EF • AC/BC = DF/EF
If lines AD, BE, and CF are ║ and AB BC, then DE EF
Lesson Quiz: Part I Find the length of segment:
Lesson Quiz: Part II Verify that BE and CD are parallel. Since , by the Converse of the ∆ Proportionality Thm.
- Proportional parts and parallel lines
- 7-5 parallel lines and proportional parts
- Eh intersects gf at i
- Proportional vs non proportional graphs
- Inversely proportional and directly proportional
- Proportional relationship chart
- Nonproportional table
- Proportional graphs worksheet
- Indirectly proportional
- Define parallel lines and intersecting lines
- Tiny elevation of hill like structure
- Section 3-2 angles and parallel lines
- Find m∠x
- Use parallel lines and transversals assignment
- Section 3-1 parallel lines and transversals