Geometry Drawing Conclusions

Which reason justifies the statement below?

If CD + DE = CE

and DE = XY

Then CD + XY = CE

• Segment Addition Postulate

• Substitution Property

• Symmetric Property

• Transitive Property

Which reason justifies the statement below?

If MN = PQ, then MN ≅ PQ.

• Definition of Congruence

• Definition of Midpoint

• Reflexive Property

• Symmeric Property

Which reason justifies the statement below?

AB + CD = CD + EF, then AB = EF.

• Addition Property

• Subtraction Property

• Reflexive Property

• Substitution Property

Which reason justifies the statement below?

If AB ⊥ MN, then <MNB is a right angle.

• Complement Thereom

• Definition of Complementary Angles

• Definition of Right Anlge

• Definition of Perpendicular

Which reason justifies the statement below?

If <T and <U are complementary, then <T + <U = 90^∘.

• Complements Theorem

• Definition of Right Angles

• Definition of Complementary Angles

• Congruent Complements Theorem

Which reason justifies the statement below?

<4 ≃ <2

• Defintion of Congruence

• Vertical Angles Theorem

• Angle Addition Postulate

• Supplements Theorem

Which reason justifies the statement below?

m<ABC + m<DBC = m<DBA

• Angle Addition Postulate

• Definition of Angle Bisector

• Definition of Congruence

• Addition Property

Which reason justifies the statement below?

If <T and <U are supplementary, then <T + <U = 180^∘.

• Definition of Complementary Angles

• Definition of Supplementary Angles

• Complements Theorem

• Supplements Theorem

Which reason justifies the statement below?

s(t +u) = st + su

• Multiplication Property

• Distributive Property

• Reflexive Property

• Symmetric Property

Which reason justifies the statement below?

GH = GH

• Congruence Theorem

• Reflexive Property

• Symmetric Property

• Transitive Property