1 / 11

Lesson 4-2: Triangle Congruence – SSS, SAS, ASA, & AAS

Lesson 4-2: Triangle Congruence – SSS, SAS, ASA, & AAS. Vocab SSS (side-side-side) congruence Included angle SAS (side-angle-side) congruence. Draw the following figures using a ruler. Draw a triangle, measure its lengths

tocho
Download Presentation

Lesson 4-2: Triangle Congruence – SSS, SAS, ASA, & AAS

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. Lesson 4-2: Triangle Congruence – SSS, SAS, ASA, & AAS Vocab SSS (side-side-side) congruence Included angle SAS (side-angle-side) congruence

  2. Draw the following figures using a ruler • Draw a triangle, measure its lengths • Draw another triangle in a different “manner” using the same length sides. • Are the 2 triangles different? Are they the same shape, same size? They’re Congruent!

  3. SSS congruence • If 3 sides are congruent to other 3 sides → ∆’s congruent bySSS (side-side-side) Rule

  4. Draw the following figures using a ruler • A triangle with a 900 angle. Measure only the 2 sides that touch the 900 • Draw another triangle in a different “manner” using the 2 measured lengths and 900 angle between them • Are the 2 triangles different? Are they the same shape, same size? They’re Congruent!

  5. SAS congruence • If 2 sides and the included angle between them are congruent to other 2 sides and the included angle → ∆’s congruent by SAS (side-angle side) Rule → Look for SAS – list S or A in order 8 8 750 750 12 12

  6. Examples • In ∆VGB, which sides include B? 2. In ∆STN, which angle is included between and ? 3. Which triangles can you prove congruent? Tell whether you would use the SSS or SAS Postulate. Y A P X B

  7. D 4. What other information do you need to prove ∆DWO∆DWG? 5. Can you prove ∆SED ∆BUT from the information given? Explain. O G W U T D E S B

  8. Proving Congruence in ∆’s • Go in a circle around triangle naming markings or measures in order (S or A) • ∆’s congruent if : • SSS : all 3 sides • SAS : an angle between (included) 2 sides • ASA : a side between 2 angles • AAS : a side after 2 angles NEW ONES!

  9. What are the letter combinations we can’t use? AAA A$$

  10. Hints • Use facts/rules to find any missing angle or side measures first • Is a side congruent to itself? • Can you use any angle facts to find missing angle measures? • Look for parallel lines

  11. Which side is included between R and F in∆FTR? • 2. Which angles in ∆ STU include ? • Tell whether you can prove the triangles congruent by ASA or • AAS. If you can, state a triangle congruence and the postulate • or theorem you used. If not, write not possible. • 3. • 4. • 5. Q H G P I R P L Quiz Tomorrow! 4-1, 4-2 4-3 Y A A B C X

More Related