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 A theorem - a conjecture or statement that you 
prove true. 
 Vertical Angles Theorem 
 Vertical angles are congruent. 
Ð 1 @ Ð 
3 
Ð 2 @ Ð 
4
• What is the value of x? 
2x + 21 = 4x 
21 = 2x 
10.5 = x
 If two angles are supplements of the same angle 
(or of congruent angles), then the two angles are 
congruent. 
Ð1 Ð3 
Ð2 Ð3 
Ð1@ Ð2 
 If and are supplements and 
and are supplements, then
 Congruent Complements Theorem 
 If two angles are complements of the same angle (or of 
congruent angles), then the two angles are congruent. 
 All right angles are congruent. 
 If two angles are congruent and supplementary, then 
each is a right angle.
All rights belong to their respective owners. 
Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made 
for "fair use" for purposes such as criticism, comment, news reporting, TEACHING, 
scholarship, and research. 
Fair use is a use permitted by copyright statute that might otherwise be infringing. 
Non-profit, EDUCATIONAL or personal use tips the balance in favor of fair use.

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Geometry unit 2.6

  • 1.
  • 2.  A theorem - a conjecture or statement that you prove true.  Vertical Angles Theorem  Vertical angles are congruent. Ð 1 @ Ð 3 Ð 2 @ Ð 4
  • 3. • What is the value of x? 2x + 21 = 4x 21 = 2x 10.5 = x
  • 4.  If two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent. Ð1 Ð3 Ð2 Ð3 Ð1@ Ð2  If and are supplements and and are supplements, then
  • 5.  Congruent Complements Theorem  If two angles are complements of the same angle (or of congruent angles), then the two angles are congruent.  All right angles are congruent.  If two angles are congruent and supplementary, then each is a right angle.
  • 6.
  • 7.
  • 8. All rights belong to their respective owners. Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made for "fair use" for purposes such as criticism, comment, news reporting, TEACHING, scholarship, and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. Non-profit, EDUCATIONAL or personal use tips the balance in favor of fair use.