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CONGRUENT TRIANGLE FACTS

CONGRUENT TRIANGLE FACTS. S.S.S. If three sides of one triangle are exactly the same as the three sides of another triangle, then they are congruent. S.S.S. ●. S.A.S. If two sides and the included angle of one triangle and two sides & the included

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CONGRUENT TRIANGLE FACTS

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  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

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