Proving Geometric Relationships

Explain how you know that <3\cong<6

• Transitive Property

• Linear Pair Postulate

• Congruent Supplements Theorem

• Vertical Angles Congruence Theorem

Find the value of x

• 8

• 13

• 1

• 11

Complete Reason 2 in this proof

• Definition of Complementary Angles

• Linear Pair Postulate

• Definition of Supplementary Angles

• Congruent Supplements Theorem

Complete Reason 4 in this proof.

• Angle Addition Postulate

• Definition of Complementary Angles

• Congruent Complements Theorem

• Reflexive Property of Equality

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

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

Since segment BD is part of both triangles, it is congruent to itself, what do we call this?

• Substitution

• Commutative

• Reflexive

• CPCTC

What reason justifies statement #2?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

Identify the  missing statement or reason

• Given

• Vertical Angles Theorem

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

How can you prove step #4?

• Vertical angle theorem

• Subtraction property of equality

• Transitive property of congruence

• Definition of supplementary angles