Geometry Section 2.6

What is the distance between the two points?

• 6.3

• 6.5

• 6.7

• 16

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Distributive Property

• Transitive Property of Congruence

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

• Definition of Congruent Angles

• Angle Bisector divides an angle into two congruent angles

• Angle Addition Postulate

• Definition of Right Angle

Give the reason for statement #2

• Segment addition postulate

• Addition of equality

• Angle addition postulate

• Transitive property

Give the reason for statement #4

• Segment Addition Postulate

• Addition of equality

• Substitution

• Reflexive property

Is the converse to this true?

• Its false.  Parallel lines intersect.

• True -- Parallel lines will not intersect if they are parallel.

• False.  

• What are parallel lines?

Obtuse angles are greater than 90 degrees.  This angle is 110 degrees, so it is obtuse. 

• Deductive

• Inductive

What is the reason?

• Transitive 

• Substitution

Give the reason for statement # 6

• Substraction of equality

• Multiplication of equality

• Transitive property

• Reflexive property

Solve for x

• 20

• 25

• 120

• 180