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Chapter Two Review Honors Geometry Ch. 2 Test Topics Perpendicularity Write equations involving complements and supplements of angles (including both in same equation) (VIDEOS ONLINE!) Write proofs involving comp/supp angles. Write proofs involving complements/supplements of the same angle. Write proofs involving complements /supplements of congruent angles. (VIDEOS) Ch. 2 Test Topics (con’t) Use addition/subtraction/mult/division properties in proofs. (VIDEOS) Use transitive/substitution properties in proofs (VIDEOS) One-Step Proofs (if/then statements or property name)(VIDEOS) Two-column Proofs (VIDEOS) Addition Property CONGRUENT PAIRS of segs/angles Given angles and segments that are smaller than the final angles/segs. Need TWO pairs of congruent parts (or a shared part) Angles/segs generally not divided into equal-sized pieces Subtraction Property CONGRUENT PAIRS of segs/angles Given angles and segments that are larger than the final angles/segs. Need TWO pairs of congruent parts (or a shared part) Angles/segs generally not divided into equal-sized pieces Multiplication Property Must have CONGRUENT PAIRS of segs/angles. Given segs/angles smaller than final segs/angles. Segs/angles broken into congruent parts (usually double use of bisect/trisect/midpoint) Division Property Must have CONGRUENT PAIRS of segs/angles. Given segs/angles larger than final segs/angles. Segs/angles broken into congruent parts (usually double use of bisect/trisect/midpoint) Proof Tips Label given information on diagrams Know ch. 1 and ch. 2 IF/THEN statements When using comp/supp of congruent angles, make sure to show two pairs of comp. or supp angles! Look for PAIRS of statements – comp/supp angles, mdpts, bisectors, trisectors When using properties, make sure to show original segs/angles CONGRUENT!!! If stuck, at least list all facts resulting from givens (and label on diagram).