Ch. 2.6: Proving Statements about Angles

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Presentation transcript:

Ch. 2.6: Proving Statements about Angles GEOMETRY: CHAPTER 2 Ch. 2.6: Proving Statements about Angles

Theorem 2.3: Right Angles Congruence Theorem All right angles are congruent.

Right Angles Congruence Theorem Proof:

Ex. 1: Use right angle congruence Write a proof:

Theorem 2.4: Congruent Supplements Theorem Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 125. If two angles are supplementary to the same angle (or to congruent angles), then they are congruent.

Theorem 2.5: Congruent Complements Theorem Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 125. If two angles are complementary to the same angle (or to congruent angles), then they are congruent.

Ex 2: Prove a case of Congruent Supplements Theorem Prove that two angles supplementary to the same angle are congruent. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 125.

Intersecting Lines When two lines intersect, pairs of vertical angles and linear pairs are formed. Postulate 12:Linear Pair Postulate If two angles form a linear pair, then they are supplementary. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 126.

Theorem 2.6: Vertical Angles Congruence Theorem Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 126. Theorem 2.6: Vertical Angles Congruence Theorem Vertical angles are congruent.

Go to Chapter 2, Lesson 7, Ex. 3. Write this in your notes http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/PowerPoint/Chapter_02/GeoCH0207example3.pps