Which example illustrates an improper use of deductive reasoning? a. all girls in mrs. lopez’s class have brown hair. cassandra is in mrs. lopez’s class. therefore, cassandra has brown hair. b. all isosceles triangles have two congruent sides. abc is a triangle therefore abc two congruent sides. c. all residents of townsburg have a pet. josiah lives on the north side of townsburg. therefore, josiah has a pet. d. all rhombi have diagonals that intersect at right angles. a square is a type of rhombus. therefore, a square’s diagonals intersect at right angles.

Nina has prepared the following two-column proof below. she is given that ∠oln ≅ ∠lno and she is trying to prove that ol ≅ on. triangle oln, where angle oln is congruent to angle lno step statement reason 1 ∠oln ≅ ∠lno given 2 draw oe as a perpendicular bisector to ln by construction 3 ∠leo ≅ ∠neo transitive property of equality 4 m∠leo = 90° definition of a perpendicular bisector 5 m∠neo = 90° definition of a perpendicular bisector 6 le ≅ en definition of a perpendicular bisector 7 δole ≅ δone side-angle-side (sas) postulate 8 ol ≅ on cpctc nina made two errors in the proof. identify and correct the errors.