Ð1 and Ð2 are supplementary Ð3 and Ð4 are supplementary 1. Given: Ð1 and Ð2 are supplementary Ð3 and Ð4 are supplementary Ð4 Prove: Ð3 1 2 4 3 Statements Reasons 1. Substitutionĩ YOU CANNOT UNDER ANY CIRCUMSTANCES USE THE REASON “DEFINITION OF VERTICAL ANGLES”ġ0 Ð1 and Ð2 are supplementary Ð3 and Ð4 are supplementary Ð2 Ð4 ![]() Substitution You can also say “Vertical Angle Theorem” 4. Given You can also say “Vertical Angle Theorem” 2. Congruent supplements theorem: If two angles are supplementary to the same. ![]() Ð2 Ð1ĮXAMPLE 3 1 3 2 4 Given: Ð3 Prove: Ð4 Statements Reasons 1. Definition Angles.Ĩ Given: Ð2 Ð3 Prove: Ð1 Ð4 1. Vertical Angle Theorem Proof Prove: Ð2 Given: Ð1 and Ð2 are vertical angles. 1 3 4 2 NOTE: You cannot use the reason “Vertical Angle Theorem” or “Vertical Angles are Congruent” in this proof. Prove: Ð2 Given: Ð1 and Ð2 are vertical angles. Aside: Would the converse of this theorem work? If two angles are congruent, then the angles are vertical angles. Prove: Conclusion: The angles are congruent. Given: Hypothesis: Two angles are vertical angles. Ð3 and Ð4 are supplementary.ĥ Given: Prove: Vertical Angle Theorem: Vertical Angles are Congruent.Ĭonditional: If two angles are vertical angles, then the angles are congruent. Prove: Ð3 and Ð4 are supplementary 3 4 D E F Statements Reasons 1. Prove: Ð3 and Ð4 are supplementary 3ĮXAMPLE 2 Given: ÐDEF is a straight angle. Definition of a right angle.Ĥ Given: ÐDEF is a straight angle. (They are across from one another.)ģ EXAMPLE 1 Given: Ð1 and Ð2 are complementary Vertical Angles: The two non-adjacent angles that are created by a pair of intersecting lines. Supplementary Angles: Two angles whose measures sum to 180. ![]() Complementary Angles: Two angles whose measures sum to 90. Straight Angle: An angle whose measure is 180. Right Angle: An angle whose measure is 90.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |