“Is it better to be feared or respected? And I say, is it too much to ask for both?”

“Is it better to be feared or respected? And I say, is it too much to ask for both?”

7.5: Proportions in Triangles LT: I will use the Side-Splitter Thm. and the Triangle Bisector Thm.

Side-Splitter Theorem Theorem 7-4: Side-Splitter Theorem: If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.

Side-Splitter Theorem Find the value of x. Find the value of x.

Corollary to Side-Splitter Theorem Corollary to Theorem 7-4: If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional.

Application Given that the edges of the panels of the sails are parallel, find the values of the variables.

You wanna try one? Find the values of the variables in the following figure.

Triangle-Angle-Bisector Theorem Triangle-Angle-Bisector Theorem: If a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the other two sides of the triangle.

Triangle-Angle-Bisector Theorem Find the value of x in the following figure. Find the value of x in the following figure.

“Don’t worry Wilson, I’ll do all the paddling. You just hang on!”

7.5 Proportions in Triangles HW 7.5: #1-7, 8-24 even, 25, 27, 31-33

Side-Splitter Proof Statements Reasons 1. 2. 3. 4. 5. 6. 7. 1. 2. 3. 4. 5. 6. 7.

Kick it up a notch!!! Find the value of x.

“Is it better to be feared or respected? And I say, is it too much to ask for both?”