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Comprehensive Review for Honors Geometry Chapter 2: Perpendicularity and Angle Proofs

Master the essential topics covered in Chapter 2 of Honors Geometry with this comprehensive review. Learn to write equations involving complements and supplements of angles, and how to form one- and two-column proofs using various properties. Gain insights into congruent pairs of segments and angles, and become proficient at using addition, subtraction, multiplication, and division properties in your proofs. With helpful online videos for each topic, you will be equipped to tackle important concepts needed for your test and strengthen your proof-writing skills effectively.

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Comprehensive Review for Honors Geometry Chapter 2: Perpendicularity and Angle Proofs

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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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