Wikibooks

Geometry/Appendix B

< Geometry

Section 2.3 - Using Proofs in Geometry

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1.

  • Angle 2 = 120 degrees since it is supplementary to angle 1. Supplementary angles are any two angles whose sum is 180 degrees.
  • Angle 3 = 60 degrees since
  • Angle 1 and Angle 3 are vertical angles. Vertical angles are two nonadjacent angles formed by two intersecting lines.
  • Angle 4 = 120 degrees since it is supplementary to angle 1.
  • Angle 5 = angle 1 by the Transversal Postulate.
  • Angle 6 = angle 2, angle 7 = angle 3, and angle 8 = angle 4 by the Transversal Postulate.

2.

  • Angle 2 = angle 3 is given
  • Lines R and S are parallel by the Alternate Interior Angles Converse Postulate

Chapter 5

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Section 5.1 - Methods of Proving that Triangles are Congruent

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1. Yes; triangle RUN = triangle DIH by ASA

2. No; the sides and angles do not match

3. Yes; triangle SUM = triangle HRC by ASA

4. Yes; triangle QWE = triangle TYR by SSS

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