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Vertical Angles and Linear Pairs, Postulates, and Linear Pair Postulate Bell Ringer Complete by Wednesday next week No success on Monday Unit 1 Lesson 2 Quiz p. 30 Questions 2-4 Discuss Row 3 Investigation OYO p. 40 #1 Complete Row 3 Homework

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Page 1: Bell Ringer Vertical Angles and Linear Pairs, Postulates ...€¦ · Bell Ringer Postulates, ... angle (90) •We proved they ... •Addition, Subtraction, Multiplication, and Division

• Vertical Angles and Linear Pairs, Postulates, and Linear Pair Postulate Bell Ringer

• Complete by Wednesday next week

• No success on Monday

Unit 1 Lesson 2 Quiz

• p. 30

• Questions 2-4

Discuss Row 3 Investigation

• OYO p. 40 #1 Complete Row 3 Homework

Page 2: Bell Ringer Vertical Angles and Linear Pairs, Postulates ...€¦ · Bell Ringer Postulates, ... angle (90) •We proved they ... •Addition, Subtraction, Multiplication, and Division

• A pair of adjacent angles that are formed when 2 lines intersect…total 180 Linear Pair:

• Basic math facts that are accepted as true w/o proof Postulates:

• Mathematical statements /facts that are proven using deductive reasoning Theorems:

• 2 lines that intersect to form a right angle (90)

• We proved they form 4 right angles

Perpendicular Lines:

Page 3: Bell Ringer Vertical Angles and Linear Pairs, Postulates ...€¦ · Bell Ringer Postulates, ... angle (90) •We proved they ... •Addition, Subtraction, Multiplication, and Division

• If two angles are a linear pair, then the sum of their measures is 180

Linear Pair

Postulate:

• Vertical angles are congruent

• Occur whenever 2 lines intersect

Vertical Angles

Theorem

Page 4: Bell Ringer Vertical Angles and Linear Pairs, Postulates ...€¦ · Bell Ringer Postulates, ... angle (90) •We proved they ... •Addition, Subtraction, Multiplication, and Division

• Substitution

• Addition, Subtraction, Multiplication, and Division

Properties of Equality

• If a = b and b = c, then a = c

• Similar to the Substitution POE Transitive POE

• SSS, SAS, ASA, AAS, HL

Triangle Congruency Theorems:

• Corresponding Parts of Congruent Triangles are Congruent CPCTC

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1. 1.  Given

2. 2.

3. 3.

4. 4.

5. 5.

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1. 1.  Given

2. 2.

3. 3.

4. 4.

5. 5.

If 2 intersecting lines are perpendicular, then they form a right angle

If 2 intersecting lines form a right angle then they are perpendicular

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R

1. 1.  Given

2. 2.

3. 3.

4. 4.

5. 5.

LBA P

0°127

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A B

P

LQ

1 2 34

1. 1.  Given

2. 2.

3. 3.

4. 4.

5. 5.

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