Proving Angles Congruent Chapter 2 Section 6. Theorem A conjecture or statement that you can prove true. You can use given information, definitions, properties,

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Presentation transcript:

Proving Angles Congruent Chapter 2 Section 6

Theorem A conjecture or statement that you can prove true. You can use given information, definitions, properties, postulates, and previously proven theorems as reasons in a proof.

Theorem 2-1 Vertical Angle Thm. Vertical Angles are Congruent “If two angles are vertical, then they are congruent.”

Proof of Theorem 2-1 Can you prove the Vertical Angle Theorem?

Proof of Theorem 2-1 Look on page 121 at the top and check your proof.

Paragraph Proof A proof written as sentences in a paragraph.

Theorem 2-3 Congruent Complements Theorem If two angels are complements of the same angle (or congruent angles), then the two angles are congruent.

Theorem 2-4 Right Angle Theorem All right angles are congruent

Theorem 2-5 Congruent and Supplement Theorem If two angles are congruent and supplementary, then each is a right angle.

Turn to page 124 Do the Lesson Check #1-5 on your own.