'Congruent complements theorem' presentation slideshows

Warm Up Determine whether each statement is true or false. If false, give a counterexample.

Warm Up Determine whether each statement is true or false. If false, give a counterexample. 1. It two angles are complementary, then they are not congruent. 2. If two angles are congruent to the same angle, then they are congruent to each other. 3. Supplementary angles are congruent.

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2-6

2-6. Geometric Proof. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. Holt Geometry. Warm Up Determine whether each statement is true or false. If false, give a counterexample. 1. It two angles are complementary, then they are not congruent.

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Warm Up Determine whether each statement is true or false. If false, give a counterexample. 1. It two angles are complem

Warm Up Determine whether each statement is true or false. If false, give a counterexample. 1. It two angles are complementary, then they are not congruent. 2. If two angles are congruent to the same angle, then they are congruent to each other. 3. Supplementary angles are congruent.

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2-5 Proving Angles Congruent

2-5 Proving Angles Congruent. Vertical Angles. Angles formed by opposite rays. Adjacent Angles. Angles that share a common side and a common vertex, but have no common interior points. Complementary Angles. Two angle whose measures have a sum of 90 degrees.

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Warm Up

Warm Up. Determine whether each statement is true or false. If false, give a counterexample. 1. It two angles are complementary, then they are not congruent. 2. If two angles are congruent to the same angle, then they are congruent to each other. 3. Supplementary angles are congruent.

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Definitions ? If . . . Then Statements

Definitions ? If . . . Then Statements. then it divides the angle into two congruent angles. If a ray bisects an angle,. then the ray bisects the angle. If a ray divides an angle into two congruent angles,. then it divides the segment into two congruent segments.

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2-6: Verifying Angle Relationships

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Daniel Escobar

Daniel Escobar. Geometry Journal 2. Conditional statement. A conditional statement is a statement in the if-then form. P-Q

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2.6 Proving Statements about Angles

2.6 Proving Statements about Angles. Properties of Angle Congruence. Reflexive For any angle, A <A <A. Symmetric If <A <B, then <B <A. Transitive If <A <B and <B <C, then <A <C. Right Angle Congruence Theorem. All right angles are congruent. . A. . X.

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2.6

PROVING STATEMENTS ABOUT ANGLES. 2.6. 1. 2. GOAL. GOAL. Justify statements about congruent angles. Prove properties about special pairs of angles. Properties of special pairs of angles help you determine angles in real-life applications, such as design work. What you should learn.

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Chapter Two

Chapter Two. Emma Risa Haley Kaitlin. 2.1. Inductive reasoning : find a pattern in specific cases and then write a conjecture Conjecture : unproven statement based on observations Example: the sum of two numbers is always greater than the larger number (2+3=5)

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More Angle Relationships

More Angle Relationships. Deductive Reasoning. To deduce means to reason from known facts When you prove a theorem, you are using deductive reasoning using the existing structure to deduce new parts of the structure

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2.6 Deductive Reasoning

2.6 Deductive Reasoning. GEOMETRY. Special Pairs of Angles. Vertical angles Linear pair of angles Complementary angles Supplementary angles. Vertical Angles. Definition: If two angles have their sides that form two pairs of opposite rays, then the two angles are vertical angles.

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Justifications for proofs

Justifications for proofs. 2.6 & 2.7. Definition of midpoint: the point that bisects the line segment. Right Angle Congruence Theorem: All right angles are congruent . Congruent Supplements Theorem: If two angles are supplementary to the same angle, then they are congruent .

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Proving Statements About Angles

Proving Statements About Angles. Section 2.6. Properties of Angle Congruence. Right Angle Congruence Theorem. All right angles are congruent. Congruent Supplements Theorem. Congruent Complements Theorem. Linear Pair Postulate. If two angles form a linear pair, then they are supplementary.

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