1 / 13

Congruent Triangle Properties and Proofs

Understand congruency in triangles with SSS, SAS, AAS, and RHS postulates. Learn how to prove the congruence of triangles with given sides and angles.

elinor
Download Presentation

Congruent Triangle Properties and Proofs

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. CONGRUENT TRIANGLE FACTS

  2. S.S.S If three sides of one triangle are exactly the same as the three sides of another triangle, then they are congruent.

  3. S.S.S

  4. ● S.A.S If two sides and the included angle of one triangle and two sides & the included angle of another triangle are exactly the same, then they are congruent.

  5. ● S.A.S

  6. ● A.A.S If two angles and a side of one triangle are exactly the same as two angles and the corresponding side of another triangle, then they are congruent. 

  7. A.A.S ●

  8. R.H.S If a right-angle, a hypotenuse & a side are exactly the same as the right-angle, hypotenuse and corresponding side, then they are congruent

  9. R.H.S

  10. CONGRUENT PROOFS (NOT DRAWN TO SCALE) Prove that ABC DEF Prove that PQR STU B E R P S U 25mm 25mm A 17mm C D 17mm F 4cm 22º 22º 5cm 4cm 5cm Q T 2cm 2cm

  11. CONGRUENT PROOFS (NOT DRAWN TO SCALE) Prove that ABC DEF Prove that PQR STU AB = DE = 4cm (given) S PQ=ST = 17mm (given) S BC = EF = 5cm (given) S  PQR= STU = 22º (given) A AC = DF = 2cm (given)S QR = TU = 25mm (given) S  ABC DEF (SSS)  PQR  STU (SAS) CONGRUENT PROOFS (NOT DRAWN TO SCALE) Prove that ABC DEF Prove that PQR STU AB = DE = 4cm (given) S PQ=ST = 17mm (given) S BC = EF = 5cm (given) S  PQR= STU = 22º (given) A AC = DF = 2cm (given)S QR = TU = 25mm (given) S  ABC DEF (SSS)  PQR  STU (SAS) B E R P U 25mm A 17mm C D F 25mm 4cm 22º 17mm 5cm 4cm 5cm 22º Q T 2cm 2cm

  12. CONGRUENT PROOFS (NOT DRAWN TO SCALE) Prove that QAW RDF Prove that GHI JKL Q R G J 33º 33º 3km 3km 71º 71º D H F I A K 25m W 25m 2km 2km L

  13. CONGRUENT PROOFS (NOT DRAWN TO SCALE) Prove that QAW RDF Prove that GHI JKL  AQW = DRF = 33º (given) A  GHI= JKL = 90º (given) R  AWQ = DFR = 71º (given) A GI= JL = 3km (given)H AW = DF = 25m (given) S HI = KL = 2km (given) S  QAW RDF (AAS)  GHI  JKL(RHS) Q R G J 33º 33º 3km 3km 71º 71º H F A W 25m 2km 2km

More Related