1. Geometry/Trig 2Name: __________________________ Unit 6 GSP Explorations & NotesDate: ___________________________ Section 7-6 TAB 1 Example 1: Solve for x. Theorem 7-3: Sketch the diagram:Complete the below proportions: Conclusion (Theorem 7-3): If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides _________________________________________________. [HINT: What word means “in equal ratio”?] Example 2: Solve for x. 12 4 x 20 x27 15

2. Geometry/Trig 2Name: __________________________ Unit 6 GSP Explorations & NotesDate: ___________________________ Section 7-6 TAB 2 Example 3: Solve for x. Corollary: Sketch the diagram:Fill in the Measurements: Conclusion (Corollary): If three parallel lines intersect two transversals, then they divide the transversals _________________________________________________. Example 4: Solve for x. First Measurement Second Measurement 16 x 4 25 - x 12x 12.515

3. Geometry/Trig 2Name: __________________________ Unit 6 GSP Explorations & NotesDate: ___________________________ Section 7-6 TAB 3 Example 5: Solve for x. Theorem 7-4: Sketch the diagram:Fill in the Measurements: Conclusion (Theorem 7-4): If a ray bisects an angle of a triangle, then it divides the opposite side into segments ________________________________ to the other two sides. What is the angle bisector? _____ Which angles are congruent? ______ and _______ Example 6: Solve for x. First Measurement Second Measurement 6 x 9 10 – x x 45 40 27