Geometry Proofs Practice

What is true about linear pairs? Select ALL that are true (there are 3 statements that are true).

• They are supplementary

• They are adjacent.

• They are across from each other.

• Linear Pair Theorem

• Vertical Angle Theorem

• definition of supplementary angles

• Angle Addition Postulate

What reason allows us to say that AE+EC=AC?

• Angle Addition Postulate

• Segment Addition Postulate

• Linear Pair Theorem

• Definition of Midpoint

• Angle Addition Postulate

• Segment Addition Postulate

• Linear Pair Theorem

• Definition of Midpoint

How can you prove step #4?

• 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

What is the "reason" for step 5 of the proof?

• Angle Bisector Theorem

• Reflexive property

• CPCTC Theorem

• Proof

Fill in the blanks to complete the geometric proof:

• ∠PQR = 38; B: Definition of Complementary Angles; C: Subtraction

  Property of Equality

• ∠PQR = 38; B: Definition of Supplementary Angles; C: Reflexive Property

• ∠PQR = 38; B: Definition of Vertical Angles; C: Transitive Property

• ∠PQR = 38; B: Definition of Complementary Angles; C: Substitution

How can you prove step #2?

• Vertical angle theorem

• Subtraction property of equality

• Transitive property of congruence

• Definition of supplementary angles

Identify the  missing statement or reason

• Given

• Vertical Angles Theorem

• Definition of Angle Bisector

• Alternate Interior Angles Theorem