proportions in triangles
DESCRIPTION
Proportions in Triangles. Watch for Parallel Lines, Transversals, and Angle Bisectors. Side Splitter Theorem (related to Midsegment Theorem). If a line is parallel to ONE side of a triangle AND intersects the other two sides, then it divides those other TWO sides proportionally. - PowerPoint PPT PresentationTRANSCRIPT
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Proportions in TrianglesWatch for Parallel Lines,
Transversals, andAngle Bisectors
![Page 2: Proportions in Triangles](https://reader035.vdocument.in/reader035/viewer/2022081511/568161e7550346895dd20dee/html5/thumbnails/2.jpg)
Side Splitter Theorem(related to Midsegment Theorem)
• If a line is parallel to ONE side of a triangle AND intersects the other two sides, then it divides those other TWO sides proportionally.
![Page 3: Proportions in Triangles](https://reader035.vdocument.in/reader035/viewer/2022081511/568161e7550346895dd20dee/html5/thumbnails/3.jpg)
Corollary to Side Splitter
![Page 4: Proportions in Triangles](https://reader035.vdocument.in/reader035/viewer/2022081511/568161e7550346895dd20dee/html5/thumbnails/4.jpg)
2nd Example
(In order for the lines to be parallel, then the side portions must be proportional. Right?
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Triangle-Angle-Bisector Theorem
• If a line bisects an angle of a triangle, then it divides the opposite side into 2 segments which are proportional to the OTHER TWO sides of the triangle.
A
![Page 6: Proportions in Triangles](https://reader035.vdocument.in/reader035/viewer/2022081511/568161e7550346895dd20dee/html5/thumbnails/6.jpg)
Examples
![Page 7: Proportions in Triangles](https://reader035.vdocument.in/reader035/viewer/2022081511/568161e7550346895dd20dee/html5/thumbnails/7.jpg)
HomeworkPractice (Key Attached) Extra Credit2 34 6 , 79 1013 1526 25 2831 3248 49 , 50 and below