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Question
which of the following represent deductive reasoning? select all that apply.
no kites are parallelograms. polygon face is a kite, so it must not be a parallelogram
when there are too many lights near the beach, hatching sea turtles become disoriented. there are a lot of lights near the beach, so any hatching sea turtles will become disoriented
the angles in a vertical - angle pair are congruent to each other. ∠qed and ∠neh form a pair of vertical angles, so ∠qed≅∠neh
all right angles measure 90. angle ∠trg is a right angle, so ∠trg must measure 90
when drivers text while driving, more accidents occur. quentin is texting while driving, so he is going to get in an accident
Deductive reasoning starts with general principles and applies them to specific cases. In the first statement, the general rule "No kites are parallelograms" is applied to the specific kite "Polygon FACE". In the third statement, the general property of vertical - angle pairs (angles in a vertical - angle pair are congruent) is applied to the specific pair ∠QED and ∠NET. In the fourth statement, the general fact that all right angles measure 90° is applied to the specific right - angle ∠TRG.
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No kites are parallelograms. Polygon FACE is a kite, so it must not be a parallelogram; The angles in a vertical angle pair are congruent to each other. ∠QED and ∠NET form a pair of vertical angles, so ∠QED ≅ ∠NET; All right angles measure 90. Angle ∠TRG is a right angle, so ∠TRG must measure 90°