Logic Statements and Proofs in Geometry

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

What is the missing reason in the proof?

• Addition

• Segment Addition Postulate

• Substitution

• Transitive Property

What is the missing statement in the proof?

• m∠ABD+m∠DBC=m∠ABC

• m∠ABD=m∠DBC

• m∠ABC=m∠ABC

• none of the other choices are correct

Which is the correct reason for statements 2 and 4 in the proof?

• Given

• Transitive Property

• Definition of Congruent Angles

• Vertical Angles are congruent.

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

What reason justifies statement #2?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

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

How can you prove step #5?

• Vertical angle theorem

• Subtraction property of equality

• Transitive property of congruence

• Definition of supplementary angles

Match the REASONS with the STATEMENTS.

d

e

f

g

h

Given

Transitive property

Linear pair

Vertical angles

Reflexive property

Def of congruent angles DOCA

Def of angle bisector

Addition property

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9