1 / 2

Geometric Proof

Geometric Proof. Prove that the sum of the angles in a triangle is 180 ˚. x. x. x. y. y. y. a. a. Draw a line parallel to one side. Let x and y be the other two angles formed with the line. b. b. c. c. Then x = b (alternate angles). and y = c (alternate angles).

razi
Download Presentation

Geometric Proof

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. Geometric Proof Prove that the sum of the angles in a triangle is 180˚. x x x y y y a a Draw a line parallel to one side. Let x and y be the other two angles formed with the line. b b c c Then x = b (alternate angles) and y = c (alternate angles) We can also see that x + y + a = 180˚. (angles on a line) Therefore, a + b + c = 180˚.

  2. Prove that the exterior angle of a triangle is equal to the sum of the two opposite interior angles. Let the exterior angle be x. a We must show that a + b = x. Let the other interior angle be c. x b c We know that a + b + c = 180˚. (angles in a triangle) We also know that x + c = 180˚. (angles on a straight line) Therefore, a + b = x.

More Related