1 / 4

5.3 Proving Triangle Similar

5.3 Proving Triangle Similar. Postulate 15: If the three angles of one triangle are congruent to the three angles of a second triangle, then the triangles are similar (AAA)

shea
Download Presentation

5.3 Proving Triangle Similar

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. 5.3 Proving Triangle Similar • Postulate 15: If the three angles of one triangle are congruent to the three angles of a second triangle, then the triangles are similar (AAA) • Corollary 5.3.1: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar (AA) Ex. 1 p.236 Section 5.3 Nack

  2. Proving Triangle Similar (cont.) • CSSTP: Corresponding sides of similar triangles are proportional • CASTC: Corresponding angles of similar triangles are congruent. • Example 2, 3 p. 236-7 • Theorem 5.3.3 (SAS~): If an angle of one triangle is congruent to an angle of a second triangle and the pairs of sides including the angles are proportional, then the triangles are similar. • Ex. 4 p. 238 Section 5.3 Nack

  3. Theorem 5.3.2: Then lengths of the corresponding altitudes of similar triangles have the same ratio as the lengths of any pair of corresponding sides. Theorem 5.3.4 (SSS~): If the three sides of one triangle are proportional to the three corresponding sides of a second triangle, then the triangles are similar. Example 5 p. 238 Section 5.3 Nack

  4. Dividing Sides Proportionally • Lemma 5.3.5: If a line segment divides two sides of a triangle proportionally, then this line segment is parallel to the third side of the triangle. Proof p. 239 • Using Lemma 5.3.5 to prove SAS~ p. 239 Section 5.3 Nack

More Related