Triangles

Which method listed below would notbe used to prove that two triangles are congruent? Prove all three sets of corresponding sides congruent. Prove all three sets of corresponding angles congruent. Prove that two sides and an included angle of one triangle are congruent to two sides and an included angle of the other triangle. Prove that two angles and an included side of one triangle are congruent to two angles and an included side of the other triangle. Which parts must be congruent to prove by SAS? Parallelogram ABCD is shown below. Which pair of triangles can be established to be congruent to prove that ∠DAB ≌ ∠BCD? ASA Congruence AAS Congruence SAS Congruence SSS Congruence Corresponding Parts of Corresponding Triangles are Corresponding Corresponding Parts of Congruent Triangles are Corresponding Congruent Parts of Corresponding Triangles are Congruent Corresponding Parts of Congruent Triangles are Congruent 3 12 18 99 In triangles ABC and PQR, AB = AC, ∠C = ∠ P and ∠B = ∠Q. The two triangles are isosceles but not congruent isosceles and congruent congruent but not isosceles neither congruent not isosceles Yes, because AB = CD, AD = BC, Ð DAC = Ð ACB, Ð DCA = Ð CAB, Ð ADC = Ð ABC and AC = AC Yes, because AB = CD, AD = BC, Ð DAC = Ð CAB, Ð DCA = Ð ACB, Ð ADC = Ð ABC and AC = AC. No, because angle measures are not known No, because side lengths are not known. ∆ XYZ ≅ ∆ STU (by SSS congruence rule). ∆ XYZ ≅ ∆ STU (by RHS congruence rule). ∆ XYZ ≅ ∆ STU (by ASA congruence rule). ∆ XYZ ≅ ∆ STU (by SAS congruence rule) angle ZAE angle ZTA angle AET angle AEZ Yes, as on calculating the missing angle in each triangle it can be concluded that the triangles are congruent by AAA criteria. No, as the missing angle in each triangle cannot be calculated Conclusion about the congruency of triangles can be made provided the length of the side NQ of triangle MNQ is known. Conclusion about the congruency of triangles can be made provided the length of the side MN or side MQ of triangle MNQ is known.