7-5 Proportions in Triangles
Objective
To use the Side-Splitter Theorem and the Triangle-Angle-Bisector Theorem
The Solve It involves parallel lines cut by two transversals that intersect. In this lesson, you will learn how to use proportions to find lengths of segments formed by parallel lines that intersect two or more transversals.
Essential Understanding When two or more parallel lines intersect other lines, proportional segments are formed.
Take note Theorem 7-4: Side-Splitter Theorem
Theorem
If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.
If …
Then …
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs