1 / 11

Proportions in Triangles

Proportions in Triangles. 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. OR. Side-Splitter Proof. Statements. Reasons. 1. 2. 3. 4. 5. 6. 7.

Olivia
Download Presentation

Proportions in Triangles

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Proportions in Triangles

  2. 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. OR

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

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

  5. 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.

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

  7. You wanna try one? Too bad! ;) Find the values of the variables in the following figure.

  8. 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.

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

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

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

More Related