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Chapter Two Review

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.

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Chapter Two Review

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  1. Chapter Two Review Honors Geometry

  2. 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)

  3. 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)

  4. 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

  5. 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

  6. 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)

  7. 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)

  8. 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).

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