Download DG U2 D12 N4 Finding Congruent Triangles.2015-16

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Transcript
Unit 2 Notes 4: Congruence Shortcuts – Ways to find congruent parts of triangles These rules work for congruent triangles These rules do NOT work Find Congruent Sides ____ Side is congruent to itself ( a shared side between two triangles) ____ Definition of a midpoint ( a midpoint bisects a segment creating two congruent segments) ____ Converse of the Isosceles Triangle Conj. (two congruent angles means the triangle must be isosceles) _____ Segment bisector ( bisector creates two congruent segments) Find Congruent Angles ____ Angle is congruent to itself ( a shared angle between two triangles) ____ Vertical angles ( Vertical angles are congruent) ____ Isosceles Triangle Conj. (Base angles are congruent) _____ Parallel Lines Conj. ( Alternate Interior Angles are congruent) _____ Both are right angles ( right angles are congruent to each other) _____ Angle Bisector ( bisector creates two congruent angles) Find Congruent Sides ____ Side is congruent to itself ( a shared side between two triangles) ____ Definition of a midpoint ( a midpoint bisects a segment creating two congruent segments) ____ Converse of the Isosceles Triangle Conj. (two congruent angles means the triangle must be isosceles) _____ Segment bisector ( bisector creates two congruent segments) Find Congruent Angles ____ Angle is congruent to itself ( a shared angle between two triangles) ____ Vertical angles ( Vertical angles are congruent) ____ Isosceles Triangle Conj. (Base angles are congruent) _____ Parallel Lines Conj. ( Alternate Interior Angles are congruent) _____ Both are right angles ( right angles are congruent to each other) _____ Angle Bisector ( bisector creates two congruent angles)