Mathematics, 21.05.2020 04:07 Serenitybella
Triangles A B C and N M Q are shown. Sides B C and N M are congruent. Angles A B C and Q N M are congruent. Angles B C A and N M Q are both right angles. Nessa proved that these triangles are congruent using ASA. Roberto proved that they are congruent using AAS. Which statement and reason would be included in Roberto’s proof that was not included in Nessa’s proof? Given: AngleB ≅ AngleN; BC ≅ NM; AngleC is right; AngleM is right Prove: TriangleABC ≅ TriangleQNM AngleA ≅ AngleQ because of the third angle theorem. AB ≅ QN because they are both opposite a right angle. BC ≅ NM because it is given. AngleC ≅ AngleM because right angles are congruent.
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