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Hot Topics Chapter 4.1, 4.2, 4.3, and 4.8 Def. Of 's Two Triangles are if and only if all sides are AND all <’s are . CPCTC-corresponding parts of congruent triangles are congruent. (Use only after 's are stated). Classification of Triangles by Sides: Equilateral triangles have 3 congruent sides Isosceles triangles have at least two congruent sides Scalene triangles have NO congruent sides. Classification of Triangles by Angles: An acute triangle has 3 acute angles. An equiangular triangle is a special type of acute triangle. An equiangular triangle has 3 <’s. A right triangle has exactly one right angle. An obtuse triangle has exactly one obtuse angle. Properties of 's : Reflexive – every triangle is to itself Symmetric If ABC PQR, then PQR ABC Transitive If ABC PQR and PQR TUV, then TRIANGLE SUM Theorem—The sum of the measures of the <’s of If 2 <’s in one to 2 <’s in 2nd The acute <’s of right 3rd pair of <’s ABC TUV. = 180 are complementary. The measure of an exterior < of a Measure of an exterior < of a = sum of the two remote interior <’s. is greater than either remote interior <. ISOSCELES TRIANGLE THEOREM--If 2 sides of a triangle are , then the <’s opposite those sides are . CONVERSE OF ISOSCELES TRIANGLE THEOREM—If 2 <’s of a triangle are , then the sides opposite those <’s are . Every equiangular triangle is also equilateral. Every equilateral triangle is also equiangular.