(p. 345) If two sides of a triangle are congruent, or the triangle is _________, then the angles opposite those sides are congruent.
(p. 346) Be careful to write the symbols correctly in situations where ____ are used.
(p. 345) The measure of an exterior angle of a triangle is greater than the measure of _______ its corresponding remote interior angles.
(p. 344) ___________ Property of Inequality - 1. If a > b, then a - c > b - c. 2. If a < b, then a - c < b - c.
(p. 355) By showing this assumption to be logically impossible, you prove your assumption false and the original conditional true. Sometimes this is called proof by _________.
(p. 353) ______ logic uses a rectangular array in which you record what you have learned from clues in order to solve a logic or reasoning problem.
(p. 355) The proofs you have written have been ______ proofs--you started with a true hypothesis and proved that the conclusion was true.
(p. 365) You can use the Triangle Inequality Theorem to determine the range of ________ lengths for the third side.
(p. 345) The sides that _____ the angle cannot be the sides opposite the angle.
(p. 364) To show that it is not possible to form a triangle with three side lengths, you need only show that one of the three triangle inequalities is not ____.
(p. 355) In an indirect or proof by ______________, you temporarily assume that what you are trying to prove is false.
(p. 344) __________ Property of Inequality - a < b, a = b, or a > b.
(p. 346) If one angle of a triangle has a(n) _________ measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle.
(p. 355) By showing this assumption to be logically impossible, you prove your assumption _____ and the original conditional true.
(p. 345) Be careful to correctly identify the side ________ an angle.
(p. 345) Each exterior angle of a triangle has two ______ interior angles that are not adjacent to the exterior angle.
(p. 364) The ___ of the lengths of any two sides of a triangle must be greater than the length of the third side.
(p. 344) ________ Property of Inequality - 1. If a > b, then a + c > b + c. 2. If a < b, then a + c < b + c.
(p. 357) You can represent an even number with the expression 2k and a(n) ___ number with the expression 2k + 1 for any integer k.
(p. 364) While a triangle is formed by three segments, a(n) _______ relationship must exist among the lengths of the segments in order for them to form a triangle.
(p. 345) The ________ side and largest angle of △ABC are opposite each other.