Name ______________________________________________ I) Theorems You Should Know Vertical
Name ______________________________________________ I) Theorems You Should Know Vertical Angles Theorem Congruent Supplements Theorem Congruent Complements Theorem Alternate Interior Angles Theorem, AIA Same-Side Interior Angles Theorem, CIA Alternate Exterior Angles Theorem, AEA) Converse of Alternate Interior Angles Theorem Converse of Same-Side Interior Angles Theorem Converse of Alternate Exterior Angles Theorem In a plane, if a two lines are parallel to the same line, then they are parallel to each other. In a plane, if a two lines are perpendicular to the same line, then they are parallel. In a plane if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other. Triangle Angle Sum Theorem Triangle Exterior Angle Theorem Polygon Angle Sum Theorem Polygon Exterior Angle-Sum Theorem If two angles of one triangles are congruent to two angles of another triangle then the third angles are congruent Angle-Angle-Side (AAS) Theorem II) Postulates You Should Know Segment Addition Postulate Angle Addition Postulate Corresponding Angles Converse of Corresponding Angles Postulate Side-Side-Side (SSS) Postulate Side-Angle-Side (SAS) Postulate Angle-Side-Angle (ASA) Postulate III) Terms You Should Know IV) Properties You should know Properties of Equality Collinear Points Addition Congruent Segments Subtraction Coplanar Multiplication Line Division Line Segment Reflexive
Midpoint Symmetric Opposite Ray Transitive Parallel Lines Substitution Parallel Planes Distributive Plane Properties of Congruence Point Reflexive Ray Symmetric Segment Transitive Skew Lines Substitution Alternate Exterior Angles Classify Triangles Alternate Interior Angles Acute Same Side Interior Angles Obtuse Corresponding Angles Right Same Side Exterior Angles Scalene Transversal Isosceles Segment Bisector Equilateral Angle Equiangular Angle Bisector Classify Polygons Straight Angle Triangle Acute Angle Quadrilateral Obtuse Angle Pentagon Right Angle Hexagon Ray
Heptagon Vertex Octagon Angle Bisector Nonagon Adjacent Angles Vertical Angles Complementary Angles Supplementary Angle Exterior Angle of a Polygon Remote Interior Angles of a Triangle Polygon Concave Polygon Convex Polygon Regular Polygon Corresponding Parts of Congruent Triangles are Congruent Name _________________________________________________________ I) Write a congruence statement for each pair of triangles. 1) P L 2) N Geometry Review Sheet Quiz 4-1 to 4-4 S O Y A E II) Which postulate, if any could you use to prove the two triangles congruent? If not enough information is given write not possible. 3)
4) 5) 7) 6) III) Write a proof. 8) Given: AT @GS AT GS G A S Prove: DGAT @DTSG T L 9) Given: LN bisects ONM LN bisects OLM Prove: ON @MN O M N Name _________________________________________________________ 1) DPAY @DAPL 2) DONE @DOSE 3) SAS Geometry Review Sheet Quiz 4-1 to 4-4 Answers
4) NP 5) SSS 6) ASA 7) AAS 8) AT @GS Given AT GS SGT @ATG Given AIA DGAT @DTSG SAS GT @GT Reflexive 9) LN bisects OLM Given LN bisects ONM Given LN @LN Reflexive OLN @MLN Def of bisector ONL @MNL Def of bisector DOLN @DMLN ASA ON @MN CPCTC
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