Postulates and Paragraph Proofs

Postulate 12.1 states that through any two points, there is exactly one line

• True

• False

Match the postulate to the image:

12.7 if two planes intersect, then their intersection is a line.

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State the postulate that can be used to show this statement is true. Lines r and n intersect at point D.

• Two lines intersect at a point.

• Two planes intersect at a line.

• Two points form a line.

• Three noncollinear points form a plane.

How can you prove step #4?

• Vertical angle theorem

• Subtraction property of equality

• Transitive property of congruence

• Definition of supplementary angles

How can you prove step #5?

• Vertical angle theorem

• Subtraction property of equality

• Transitive property of congruence

• Definition of supplementary angles

How can you prove step #2?

• Vertical angle theorem

• Subtraction property of equality

• Transitive property of congruence

• Definition of supplementary angles

What reason justifies statement #2?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

Fill in the statement for number 3. 

• HA = AY

• HA = AP

• A is the midpoint of HP

Fill in the reason for 5. 

• Addition Postulate

• Substitution property

• Definition of midpoint

• Segment Addition Postulate

I can use postulates in my paragraph proofs.

• True

• False