'Paragraph proof' presentation slideshows

Lesson 2-5

Lesson 2-5. Postulates and Paragraph Proofs. Ohio Content Standards:. Ohio Content Standards:. Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others.

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5.1 Perpendiculars and Bisectors

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5.1 Perpendiculars and Bisectors

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Lesson 2-5

Lesson 2-5. Postulates and Paragraph Proofs. Transparency 2-5. 5-Minute Check on Lesson 2-4. Determine whether the stated conclusion is valid based on the given information. If not, write invalid . 1. Given: ? A and ? B are supplementary. Conclusion: m ? A + m ? B = 180 ? .

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2-7

2-7. Flowchart and Paragraph Proofs. Holt Geometry. Warm Up Complete each sentence. 1. If the measures of two angles are ? , then the angles are congruent. 2. If two angles form a ? , then they are supplementary.

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3.2 Proof and Perpendicular Lines

3.2 Proof and Perpendicular Lines. Different types of proofs Theorems about Perpendicular Lines. Theorem 3.1. If two lines intersect making congruent adjacent angles, then the lines are perpendicular. Theorem 3.2.

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Chapter 2 Lesson 5

Chapter 2 Lesson 5. Objective: To identify angle pairs and prove & apply theorems. Vertical Angles. Two angles whose sides form two pairs of opposite rays. 1. 3. 4. 2. Adjacent Angles. Two coplanar angles with a common side, a common vertex, and no common interior points. 1. 2. 1. 2.

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Write flowchart and paragraph proofs. Prove geometric theorems by using deductive reasoning.

Objectives. Write flowchart and paragraph proofs. Prove geometric theorems by using deductive reasoning. Vocabulary. flowchart proof paragraph proof. _________________ - A second style of proof which uses boxes and arrows to show the structure of the proof.

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Proving Angles Congruent

Proving Angles Congruent. Proving Angles Congruent. Vertical Angles : Two angles whose sides form two pairs of opposite rays; form two pairs of congruent angles. 1. 2. 4. <1 and <3 are Vertical angles <2 and <4 are Vertical angles. 3. Proving Angles Congruent.

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Bell Problem

Bell Problem.

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3-4

3-4. Parallel and Perpendicular Lines. OBJECTIVE. To relate parallel and perpendicular lines. KEY CONCEPTS. c. b. a. KEY CONCEPTS. t. n. m. KEY CONCEPTS. t. n. m. CLASS WORK.

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2-5Postulates and Paragraph Proofs Day 2

2-5Postulates and Paragraph Proofs Day 2. Write paragraph proofs. Paragraph Proof. A paragraph proof is one method of proving statements and conjectures. It involves writing a paragraph to explain why a conjecture for a given situation is true.

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GOAL

PROOF AND PERPENDICULAR LINES. 3.2. COMPARING TYPES OF PROOFS. 1. GOAL. EXAMPLE 1. Vocabulary two-column proof paragraph proof flow proof. Be sure you identify the similarities and differences in the three types of proof.

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Proving the Pythagorean Theorem Using Similarity

Proving the Pythagorean Theorem Using Similarity. ~adapted by Walch Education. The Pythagorean Theorem. The Pythagorean Theorem is often used to find the lengths of the sides of a right triangle, a triangle that includes one 90? angle.

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Lesson 4-5 Proving Triangles Congruent-ASA, AAS

Lesson 4-5 Proving Triangles Congruent-ASA, AAS. Included side- Is the side located between two consecutive angles of a polygon. Vocabulary. Concept. Use ASA to Prove Triangles Congruent. Example 1. Prove: ABD = CDB. A. SSS B. SAS C. ASA D. AAS. Example 1. Concept.

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2-5 Postulates and Paragraph Proofs

2-5 Postulates and Paragraph Proofs. Postulate or Axiom: A statement that is accepted as true Postulate 2.1: Through any two points, there is exactly one line. Postulate 2.2: Through any three points not on the same line, there is exactly one plane. Example #1.

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Postulates and Paragraph Proofs

Postulates and Paragraph Proofs. Notes. Postulate: a statement that is accepted to be true and describes a fundamental relationship between the basic terms of geometry. P2.1 Through any 2 points, there is exactly one line.

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Therefore, FNI CAT GDO by ASA.

The diagram shows ? N ? A ? D and FN CA GD. If ? F ? C, then ? F ? C ? G. Therefore, FNI CAT GDO by ASA. Triangle Congruence by ASA and AAS. LESSON 4-3. Additional Examples.

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Objectives: Use triangle congruence to prove corresponding parts are congruent

Section 4-4 Using Congruence Triangle SPI 32C: determine congruence or similarity between triangles SPI 32M: justify triangle congruence given a diagram. Objectives: Use triangle congruence to prove corresponding parts are congruent.

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