Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
GEOMETRY/TRIGONOMETRY 2 Name _______________________ Theorem 7-3: Triangle Proportionality Theorem If a line _________________ to one side of a triangle intersects the other two sides, then it divides those sides _________________________. The properties of proportions allows the Triangle Proportionality Theorem to justify many equivalent proportions. Some are given below: DG GE GE DE DG DE GE HF DG DH SPECIAL NOTE: If you are given the bottom of the triangles (the || sides), you must use the whole sides of the triangles to form the proportion. See problem #4 Corollary: Triangle If three _________________ lines intersect two transversals, then they divide the transversals _________________________. Theorem 7-4: Triangle Angle-Bisector Theorem If a ray _________________ an angle of a triangle, then it divides the opposite sides into segments _________________________ to the other two sides. Use the Triangle Proportionality Theorem to find the value of x. 1) x = _______ 2) x = _______ 3) x = _______ 4) x = _______ 5) x = _______ 6) x = _______ Use the corollary to find the value of x. 7) x = _______ 8) x = _______ Use the Triangle Angle-Bisector Theorem to find the value of x. 9) x = _______ 10) x = _______