Properties for Proofs

What justifies the conclusion?

If AB = CD, then AB + PQ = CD + PS

• Substitution

• Addition

• Segment Addition

• Cannot be justified

What justifies the conclusion?

If AB = CD, then ½(AB)=½(CD)

• Substitution

• Multiplication

• Reflexive

• Cannot be justified

What justifies the conclusion?

If AB + BC= AC and DF + FE = DE, then AB + BC = DF + FE

• Substitution

• Segment Addition

• Addition

• Cannot be justified

What justifies the conclusion?

If ∠ABC and ∠DEF are a linear pair, then ∠ABC + ∠DEF = 180⁰

• linear pair are supplementary

• supplementary angles sum to 180^o

• lines sum to 180^o

• Cannot be justified

Tags

CCSS.7.G.B.5

What justifies the conclusion?

If AB is perpendicular to DC at P, then DP≅PC

• Definition of perpendicular

• Definition of Bisector

• Definition of midpoint

• Cannot be justified

Tags

CCSS.HSG.CO.C.9

What justifies the conclusion?

If AB = DC and PR + AB = QR + DC, then PR + AB - AB = QR + DC - DC

• Substitution

• Segment Subtraction

• Subtraction

• Cannot be justified

Tags

CCSS.HSG.SRT.B.5

What justifies the conclusion?

If points P and Q are on circle O, then PO = QO

• Reflexive

• All radii in a circle are congruent

• Chords the intersect congruent arcs are congruent

• Cannot be justified

What justifies the conclusion?

If points P is on circle O and Q is on circle S, then PO = QS

• Reflexive

• All radii in a circle are congruent

• Chords the intersect congruent arcs are congruent

• Cannot be justified

Tags

CCSS.HSG.C.A.2

What justifies the conclusion?

If ∠APB is supplementary to ∠CPB and ∠STV is supplementary to ∠WTV, then ∠APB ≅∠STV

• Supplements of congruent angles are congruent

• Transitive (Substitution)

• Supplementary angles are congruent

• Cannot be justified

Tags

CCSS.7.G.B.5

What justifies the conclusion?

If AB + BC = AC, PR + RT = PT, and AC = PT, then AB + BC = PR + RT

• Substitution

• Addition

• Segment Addition

• Cannot be justified